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arxiv: 2511.22966 · v2 · submitted 2025-11-28 · ❄️ cond-mat.stat-mech · quant-ph

Generation of concurrence in a generalized central spin model with a three-spin interacting environment

Adithya A. Vasista , Anushka Agrawal , Tanay Nag This is my paper

Pith reviewed 2026-05-17 04:38 UTC · model grok-4.3

classification ❄️ cond-mat.stat-mech quant-ph
keywords concurrencecentral spin modelthree-spin interactionquench dynamicsentanglement generationmulticritical pointIsing modelnon-equilibrium dynamics
0
0 comments X p. Extension

The pith

Three-spin interactions in the environment allow two central spins to reach maximal entanglement when quenched near a multicritical point.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper studies bi-partite entanglement in a three-spin Ising model and then uses it as an environment for a central spin system. It finds that the three-spin term creates a multicritical point where concurrence between adjacent spins is maximized. Two initially unentangled central spins coupled to this chain generate mixed-state entanglement. Equilibrium dynamics show dip-revival in concurrence from quasi-particle propagation. Non-equilibrium quenches near the multicritical point yield maximum entanglement, while intra-phase quenches make the concurrence long-lived in a manner controlled by the three-spin strength.

Core claim

The three-spin interaction in the environmental Ising chain generates a multicritical point that enables maximal mixed-state entanglement between two central spins for quenches in its vicinity. The concurrence also becomes long-lived for intra-phase quenches, with its sustainability depending on the strength of the three-spin interaction. This demonstrates that the three-spin term aids in generating bi-partite entanglement in the central spins.

What carries the argument

The generalized central spin model with two central spins locally coupled to sites in a three-spin interacting Ising chain environment, where the three-spin term is tuned to produce multicritical points affecting quench dynamics.

If this is right

  • Quenches near the multicritical point result in maximal concurrence between the central spins.
  • Intra-phase quenches produce long-lived concurrence whose duration increases with three-spin interaction strength.
  • Equilibrium dynamics at critical points exhibit a dip-revival structure due to quasi-particle movement.
  • Inter-phase quenches lead to an initial growth followed by a two-stage fall in concurrence due to decoherence channels.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The results suggest engineering multi-body interactions in quantum simulators to control entanglement lifetime.
  • Similar multicritical points in other higher-order spin models might offer new ways to generate robust entanglement.
  • Experimental realization could involve measuring concurrence in systems like trapped ions or superconducting circuits under controlled quenches.

Load-bearing premise

The central spins begin in an unentangled pure state and couple locally to two distinct sites of the environmental chain while treating the three-spin term as an isolated tunable parameter.

What would settle it

Measuring the concurrence after a quench near the multicritical point and finding it does not reach the maximum value, or observing no dependence of concurrence lifetime on three-spin strength in intra-phase quenches, would contradict the central claim.

Figures

Figures reproduced from arXiv: 2511.22966 by Adithya A. Vasista, Anushka Agrawal, Tanay Nag.

Figure 1
Figure 1. Figure 1: FIG. 1. Equilibrium phase diagram of the three-spin interact [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Plot for concurrence [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Illustration explaining the schematic GCSM where [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Equilibrium plot shows the behavior of system’s con [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Time evolution of concurrence [PITH_FULL_IMAGE:figures/full_fig_p005_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Temporal analysis of decoherence channel [PITH_FULL_IMAGE:figures/full_fig_p006_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. We show the dynamics of concurrence [PITH_FULL_IMAGE:figures/full_fig_p007_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. We show the dynamics of concurrence [PITH_FULL_IMAGE:figures/full_fig_p008_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9. We show the density plots for the peak value of [PITH_FULL_IMAGE:figures/full_fig_p008_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10. We show the evolution of decoherence channels [PITH_FULL_IMAGE:figures/full_fig_p009_10.png] view at source ↗
read the original abstract

We consider the three-spin Ising model to study the effect of three-spin interacting term on bi-partitie entanglement between adjacent spins. The three-dominated disordered region has tri-partite entanglement causing a vanishingly small concurrence, while it acquires maximum value around the critical points. Considering the above model as an environment, we construct a generalized central spin model where two central spins, initially in an unentangled pure state, are coupled locally to two distinct sites of the environmental spin chain. We study the generation of mixed state entanglement between the central spins when the transverse field of the environment is kept fixed, and suddenly quenched, referring to equilibrium and non-equilibrium dynamics of the central spins, respectively. For the critical environment in the equilibrium, the concurrence shows a dip-revival structure governed by quasi-particle movement. In the non-equilibrium study, we find an initial growth of concurrence followed by a two-stage fall for the inter-phase quench which is governed by dynamic decoherence channels. The central spins are maximally entangled for a quench in the vicinity of a multicritical point, which arises due to three-spin interaction only. The concurrence becomes long-lived for an intra-phase quench, and this sustainability depends on the strength of the three-spin interaction. Therefore, the three-spin interaction indeed helps in generating bi-partite entanglement in the central spins.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The paper examines bipartite entanglement generation between two central spins coupled locally to sites in a three-spin Ising chain environment. It analyzes equilibrium dynamics (dip-revival structures from quasiparticle propagation) and non-equilibrium quenches, reporting maximal concurrence near a multicritical point induced solely by the three-spin term, long-lived concurrence for intra-phase quenches whose duration depends on three-spin strength, and vanishing concurrence in the three-spin-dominated disordered phase due to tripartite entanglement.

Significance. If the central claims hold after addressing finite-size concerns, the work demonstrates how a tunable three-spin interaction can control the generation and persistence of mixed-state entanglement in a central-spin setup, distinguishing intra- versus inter-phase quenches and linking multicriticality to entanglement maxima. This provides concrete numerical evidence for environment-engineering strategies in quantum information contexts.

major comments (2)
  1. [Non-equilibrium dynamics] Non-equilibrium dynamics section (and abstract): the claim that concurrence 'becomes long-lived for an intra-phase quench, and this sustainability depends on the strength of the three-spin interaction' is load-bearing for the central result, yet the manuscript provides no explicit J3=0 comparison runs or finite-size scaling (e.g., L=20 vs L=40) to exclude boundary-induced revivals or discrete-spectrum coherence that can persist on accessible timescales even for weak or zero three-spin coupling.
  2. [Numerical results] Numerical methods and results: concurrence time series are presented without reported error bars, chain lengths used in exact diagonalization, or data-exclusion criteria, so the robustness of the reported 'two-stage fall' for inter-phase quenches and the maximal value near the multicritical point cannot be verified from the given data.
minor comments (2)
  1. [Abstract] Abstract: the term 'three-dominated disordered region' should be tied explicitly to a phase-diagram panel or parameter range (e.g., J3/J1 > x) for clarity.
  2. [Figures] Figure captions: ensure every concurrence-vs-time plot labels the environmental chain length, the precise quench protocol (e.g., h_i to h_f), and the set of J3 values shown.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading of our manuscript and the constructive comments on the non-equilibrium dynamics and numerical presentation. We address each major point below and will incorporate revisions to enhance clarity and robustness.

read point-by-point responses

  1. Referee: [Non-equilibrium dynamics] Non-equilibrium dynamics section (and abstract): the claim that concurrence 'becomes long-lived for an intra-phase quench, and this sustainability depends on the strength of the three-spin interaction' is load-bearing for the central result, yet the manuscript provides no explicit J3=0 comparison runs or finite-size scaling (e.g., L=20 vs L=40) to exclude boundary-induced revivals or discrete-spectrum coherence that can persist on accessible timescales even for weak or zero three-spin coupling.

    Authors: We agree that explicit J3=0 benchmarks and finite-size scaling would strengthen the central claim. Our figures already vary J3 to illustrate the dependence of concurrence lifetime on three-spin strength via modified quasiparticle dispersion, but we did not include a direct J3=0 panel or L=40 data. In the revised manuscript we will add these comparisons, confirming that the long-lived intra-phase behavior persists and is not attributable to boundary effects or finite-size coherence on the timescales shown. revision: yes

  2. Referee: [Numerical results] Numerical methods and results: concurrence time series are presented without reported error bars, chain lengths used in exact diagonalization, or data-exclusion criteria, so the robustness of the reported 'two-stage fall' for inter-phase quenches and the maximal value near the multicritical point cannot be verified from the given data.

    Authors: We acknowledge that the numerical details were insufficiently documented. All results were obtained via exact diagonalization on chains of length L=20 (the size used throughout the study for computational feasibility while capturing the essential physics). As the method is deterministic, no statistical error bars apply and no data were excluded. In the revision we will explicitly state the system size, add a methods paragraph clarifying these points, and annotate the figures to highlight the two-stage fall and the concurrence maximum near the multicritical point. revision: yes

Circularity Check

0 steps flagged

No circularity detected; derivation follows from explicit model dynamics

full rationale

The paper defines the environmental Hamiltonian with an explicit three-spin interaction term as a tunable parameter, constructs the generalized central spin model by local coupling of two initially unentangled central spins to distinct environmental sites, and computes the time-dependent concurrence from the reduced density matrix of the central spins after evolution under the full Hamiltonian. The reported features—dip-revival structure in equilibrium, two-stage decay for inter-phase quenches, maximal entanglement near the multicritical point, and long-lived intra-phase concurrence—are obtained directly from this dynamics rather than from any self-referential definition, fitted parameter renamed as prediction, or load-bearing self-citation. The multicritical point is identified from the environmental model's phase structure, which is independent of the central-spin concurrence measure. No equations reduce the output concurrence to an input by construction, satisfying the self-contained criterion.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 0 invented entities

The central claims rest on the standard quantum-mechanical treatment of the three-spin Ising Hamiltonian and the sudden-quench approximation; no new particles or forces are postulated.

free parameters (1)
  • three-spin interaction strength
    Tuned as a free parameter to explore its effect on concurrence; value is not fixed by any external constraint.
axioms (2)
  • domain assumption The environmental chain is described by the three-spin Ising model with transverse field.
    Standard choice for studying multi-body interactions in one-dimensional spin systems.
  • domain assumption Central spins couple locally to distinct sites and start in a product state.
    Initial condition and coupling geometry required to define the generalized central-spin setup.

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Reference graph

Works this paper leans on

72 extracted references · 72 canonical work pages · 2 internal anchors

  1. [1]

    and Rosen, N

    author author A. Einstein , author B. Podolsky , \ and\ author N. Rosen ,\ title title Can quantum-mechanical description of physical reality be considered complete? \ 10.1103/PhysRev.47.777 journal journal Phys. Rev. \ volume 47 ,\ pages 777--780 ( year 1935 ) NoStop

    work page doi:10.1103/physrev.47.777 1935

  2. [2]

    \ Werner ,\ title title Quantum states with einstein-podolsky-rosen correlations admitting a hidden-variable model , \ 10.1103/PhysRevA.40.4277 journal journal Phys

    author author Reinhard F. \ Werner ,\ title title Quantum states with einstein-podolsky-rosen correlations admitting a hidden-variable model , \ 10.1103/PhysRevA.40.4277 journal journal Phys. Rev. A \ volume 40 ,\ pages 4277--4281 ( year 1989 ) NoStop

    work page doi:10.1103/physreva.40.4277 1989

  3. [3]

    Mixed-state entanglement and quantum error correction,

    author author Charles H. \ Bennett , author David P. \ DiVincenzo , author John A. \ Smolin , \ and\ author William K. \ Wootters ,\ title title Mixed-state entanglement and quantum error correction , \ 10.1103/PhysRevA.54.3824 journal journal Phys. Rev. A \ volume 54 ,\ pages 3824--3851 ( year 1996 ) NoStop

    work page doi:10.1103/physreva.54.3824 1996

  4. [4]

    author author Amit \ Dutta ,\ @noop title Quantum Phase Transitions in Transverse Field Models \ ( publisher Cambridge University Press ,\ year 2015 ) NoStop

    work page 2015

  5. [5]

    author author Amit \ Dutta , author Gabriel \ Aeppli , author Bikas K \ Chakrabarti , author Uma \ Divakaran , author Thomas F \ Rosenbaum , \ and\ author Diptiman \ Sen ,\ title title Quantum phase transitions in transverse field spin models: from statistical physics to quantum information , \ @noop journal journal arXiv preprint arXiv:1012.0653 \ ( year...

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  6. [6]

    author author Anatoli \ Polkovnikov , author Krishnendu \ Sengupta , author Alessandro \ Silva , \ and\ author Mukund \ Vengalattore ,\ title title Colloquium: Nonequilibrium dynamics of closed interacting quantum systems , \ @noop journal journal Reviews of Modern Physics \ volume 83 ,\ pages 863--883 ( year 2011 a ) NoStop

    work page 2011

  7. [7]

    author author Anatoli \ Polkovnikov , author Krishnendu \ Sengupta , author Alessandro \ Silva , \ and\ author Mukund \ Vengalattore ,\ title title Colloquium: Nonequilibrium dynamics of closed interacting quantum systems , \ 10.1103/RevModPhys.83.863 journal journal Rev. Mod. Phys. \ volume 83 ,\ pages 863--883 ( year 2011 b ) NoStop

    work page doi:10.1103/revmodphys.83.863 2011

  8. [8]

    author author Subir \ Sachdev ,\ title title Quantum phase transitions , \ @noop journal journal Physics world \ volume 12 ,\ pages 33 ( year 1999 ) NoStop

    work page 1999

  9. [9]

    author author Vlatko \ Vedral ,\ @noop title Introduction to quantum information science \ ( publisher Oxford University Press ,\ year 2006 ) NoStop

    work page 2006

  10. [10]

    author author Bikas K \ Chakrabarti , author Amit \ Dutta , \ and\ author Parongama \ Sen ,\ @noop title Quantum Ising phases and transitions in transverse Ising models \ ( publisher Springer ,\ year 1996 ) NoStop

    work page 1996

  11. [11]

    author author Andreas \ Osterloh , author Luigi \ Amico , author Giuseppe \ Falci , \ and\ author Rosario \ Fazio ,\ title title Scaling of entanglement close to a quantum phase transition , \ @noop journal journal Nature \ volume 416 ,\ pages 608--610 ( year 2002 ) NoStop

    work page 2002

  12. [12]

    \ Osborne \ and\ author Michael A

    author author Tobias J. \ Osborne \ and\ author Michael A. \ Nielsen ,\ title title Entanglement in a simple quantum phase transition , \ 10.1103/PhysRevA.66.032110 journal journal Phys. Rev. A \ volume 66 ,\ pages 032110 ( year 2002 ) NoStop

    work page doi:10.1103/physreva.66.032110 2002

  13. [13]

    \ Wu , author M

    author author L.-A. \ Wu , author M. S. \ Sarandy , \ and\ author D. A. \ Lidar ,\ title title Quantum phase transitions and bipartite entanglement , \ 10.1103/PhysRevLett.93.250404 journal journal Phys. Rev. Lett. \ volume 93 ,\ pages 250404 ( year 2004 ) NoStop

    work page doi:10.1103/physrevlett.93.250404 2004

  14. [14]

    author author Yan \ Chen , author Paolo \ Zanardi , author ZD Wang , \ and\ author FC Zhang ,\ title title Sublattice entanglement and quantum phase transitions in antiferromagnetic spin chains , \ @noop journal journal New Journal of Physics \ volume 8 ,\ pages 97 ( year 2006 ) NoStop

    work page 2006

  15. [15]

    author author Shi-Jian \ Gu , author Shu-Sa \ Deng , author You-Quan \ Li , \ and\ author Hai-Qing \ Lin ,\ title title Entanglement and quantum phase transition in the extended hubbard model , \ 10.1103/PhysRevLett.93.086402 journal journal Phys. Rev. Lett. \ volume 93 ,\ pages 086402 ( year 2004 ) NoStop

    work page doi:10.1103/physrevlett.93.086402 2004

  16. [16]

    author author Luigi \ Amico , author Rosario \ Fazio , author Andreas \ Osterloh , \ and\ author Vlatko \ Vedral ,\ title title Entanglement in many-body systems , \ 10.1103/RevModPhys.80.517 journal journal Rev. Mod. Phys. \ volume 80 ,\ pages 517--576 ( year 2008 ) NoStop

    work page doi:10.1103/revmodphys.80.517 2008

  17. [17]

    author author Ryszard \ Horodecki , author Pawe \ Horodecki , author Micha \ Horodecki , \ and\ author Karol \ Horodecki ,\ title title Quantum entanglement , \ 10.1103/RevModPhys.81.865 journal journal Rev. Mod. Phys. \ volume 81 ,\ pages 865--942 ( year 2009 ) NoStop

    work page doi:10.1103/revmodphys.81.865 2009

  18. [18]

    \ Zurek ,\ title title Quantum discord: A measure of the quantumness of correlations , \ 10.1103/PhysRevLett.88.017901 journal journal Phys

    author author Harold \ Ollivier \ and\ author Wojciech H. \ Zurek ,\ title title Quantum discord: A measure of the quantumness of correlations , \ 10.1103/PhysRevLett.88.017901 journal journal Phys. Rev. Lett. \ volume 88 ,\ pages 017901 ( year 2001 ) NoStop

    work page doi:10.1103/physrevlett.88.017901 2001

  19. [19]

    author author Wojciech Hubert \ Zurek ,\ title title Decoherence, einselection, and the quantum origins of the classical , \ 10.1103/RevModPhys.75.715 journal journal Rev. Mod. Phys. \ volume 75 ,\ pages 715--775 ( year 2003 ) NoStop

    work page doi:10.1103/revmodphys.75.715 2003

  20. [20]

    author author Paolo \ Zanardi \ and\ author Nikola \ Paunkovi c \' c ,\ title title Ground state overlap and quantum phase transitions , \ 10.1103/PhysRevE.74.031123 journal journal Phys. Rev. E \ volume 74 ,\ pages 031123 ( year 2006 ) NoStop

    work page doi:10.1103/physreve.74.031123 2006

  21. [21]

    author author Lorenzo \ Campos Venuti \ and\ author Paolo \ Zanardi ,\ title title Quantum critical scaling of the geometric tensors , \ 10.1103/PhysRevLett.99.095701 journal journal Phys. Rev. Lett. \ volume 99 ,\ pages 095701 ( year 2007 ) NoStop

    work page doi:10.1103/physrevlett.99.095701 2007

  22. [22]

    author author Paolo \ Zanardi , author Paolo \ Giorda , \ and\ author Marco \ Cozzini ,\ title title Information-theoretic differential geometry of quantum phase transitions , \ 10.1103/PhysRevLett.99.100603 journal journal Phys. Rev. Lett. \ volume 99 ,\ pages 100603 ( year 2007 ) NoStop

    work page doi:10.1103/physrevlett.99.100603 2007

  23. [23]

    Vidal , author J

    author author G. Vidal , author J. I. \ Latorre , author E. Rico , \ and\ author A. Kitaev ,\ title title Entanglement in quantum critical phenomena , \ 10.1103/PhysRevLett.90.227902 journal journal Phys. Rev. Lett. \ volume 90 ,\ pages 227902 ( year 2003 ) NoStop

    work page doi:10.1103/physrevlett.90.227902 2003

  24. [24]

    author author Jos \'e Ignacio \ Latorre , author Enrique \ Rico , \ and\ author Guifr \'e \ Vidal ,\ title title Ground state entanglement in quantum spin chains , \ @noop journal journal Quant. Inf. Comput. \ volume 4 ,\ pages 48 ( year 2003 ) NoStop

    work page 2003

  25. [25]

    author author Pasquale \ Calabrese \ and\ author John \ Cardy ,\ title title Entanglement entropy and quantum field theory , \ @noop journal journal Journal of statistical mechanics: theory and experiment \ volume 2004 ,\ pages P06002 ( year 2004 ) NoStop

    work page 2004

  26. [26]

    author author Tanay \ Nag \ and\ author Atanu \ Rajak ,\ title title Entanglement entropy of a three-spin-interacting spin chain with a time-reversal-breaking impurity at one boundary , \ 10.1103/PhysRevE.97.042108 journal journal Phys. Rev. E \ volume 97 ,\ pages 042108 ( year 2018 ) NoStop

    work page doi:10.1103/physreve.97.042108 2018

  27. [27]

    \ Hill \ and\ author William K

    author author Sam A. \ Hill \ and\ author William K. \ Wootters ,\ title title Entanglement of a pair of quantum bits , \ 10.1103/PhysRevLett.78.5022 journal journal Phys. Rev. Lett. \ volume 78 ,\ pages 5022--5025 ( year 1997 ) NoStop

    work page doi:10.1103/physrevlett.78.5022 1997

  28. [28]

    \ Wootters ,\ title title Entanglement of formation of an arbitrary state of two qubits , \ 10.1103/PhysRevLett.80.2245 journal journal Phys

    author author William K. \ Wootters ,\ title title Entanglement of formation of an arbitrary state of two qubits , \ 10.1103/PhysRevLett.80.2245 journal journal Phys. Rev. Lett. \ volume 80 ,\ pages 2245--2248 ( year 1998 ) NoStop

    work page doi:10.1103/physrevlett.80.2245 1998

  29. [29]

    \ @noop journal journal Quantum Inf

    author author William K \ Wootters ,\ title title Entanglement of formation and concurrence. \ @noop journal journal Quantum Inf. Comput. \ volume 1 ,\ pages 27--44 ( year 2001 ) NoStop

    work page 2001

  30. [30]

    author author K. Sengupta \ and\ author Diptiman \ Sen ,\ title title Entanglement production due to quench dynamics of an anisotropic xy chain in a transverse field , \ 10.1103/PhysRevA.80.032304 journal journal Phys. Rev. A \ volume 80 ,\ pages 032304 ( year 2009 ) NoStop

    work page doi:10.1103/physreva.80.032304 2009

  31. [31]

    author author Raoul \ Dillenschneider ,\ title title Quantum discord and quantum phase transition in spin chains , \ 10.1103/PhysRevB.78.224413 journal journal Phys. Rev. B \ volume 78 ,\ pages 224413 ( year 2008 ) NoStop

    work page doi:10.1103/physrevb.78.224413 2008

  32. [32]

    author author Shunlong \ Luo ,\ title title Quantum discord for two-qubit systems , \ 10.1103/PhysRevA.77.042303 journal journal Phys. Rev. A \ volume 77 ,\ pages 042303 ( year 2008 ) NoStop

    work page doi:10.1103/physreva.77.042303 2008

  33. [33]

    author author M. S. \ Sarandy ,\ title title Classical correlation and quantum discord in critical systems , \ 10.1103/PhysRevA.80.022108 journal journal Phys. Rev. A \ volume 80 ,\ pages 022108 ( year 2009 ) NoStop

    work page doi:10.1103/physreva.80.022108 2009

  34. [34]

    author author Tanay \ Nag , author Ayoti \ Patra , \ and\ author Amit \ Dutta ,\ title title Quantum discord in a spin-1/2 transverse xy chain following a quench , \ @noop journal journal Journal of Statistical Mechanics: Theory and Experiment \ volume 2011 ,\ pages P08026 ( year 2011 ) NoStop

    work page 2011

  35. [35]

    author author F. M. \ Cucchietti , author D. A. R. \ Dalvit , author J. P. \ Paz , \ and\ author W. H. \ Zurek ,\ title title Decoherence and the loschmidt echo , \ 10.1103/PhysRevLett.91.210403 journal journal Phys. Rev. Lett. \ volume 91 ,\ pages 210403 ( year 2003 ) NoStop

    work page doi:10.1103/physrevlett.91.210403 2003

  36. [36]

    author author Atanu \ Rajak \ and\ author Tanay \ Nag ,\ title title Survival probability in a quenched majorana chain with an impurity , \ 10.1103/PhysRevE.96.022136 journal journal Phys. Rev. E \ volume 96 ,\ pages 022136 ( year 2017 ) NoStop

    work page doi:10.1103/physreve.96.022136 2017

  37. [37]

    author author F. M. \ Cucchietti , author J. P. \ Paz , \ and\ author W. H. \ Zurek ,\ title title Decoherence from spin environments , \ 10.1103/PhysRevA.72.052113 journal journal Phys. Rev. A \ volume 72 ,\ pages 052113 ( year 2005 ) NoStop

    work page doi:10.1103/physreva.72.052113 2005

  38. [38]

    author author Fernando Mart\' n \ Cucchietti , author Sonia \ Fernandez-Vidal , \ and\ author Juan Pablo \ Paz ,\ title title Universal decoherence induced by an environmental quantum phase transition , \ 10.1103/PhysRevA.75.032337 journal journal Phys. Rev. A \ volume 75 ,\ pages 032337 ( year 2007 ) NoStop

    work page doi:10.1103/physreva.75.032337 2007

  39. [40]

    author author Shraddha \ Sharma , author Victor \ Mukherjee , \ and\ author Amit \ Dutta ,\ title title Study of loschmidt echo for a qubit coupled to an xy-spin chain environment , \ @noop journal journal The European Physical Journal B \ volume 85 ,\ pages 143 ( year 2012 ) NoStop

    work page 2012

  40. [41]

    author author Sthitadhi \ Roy , author Tanay \ Nag , \ and\ author Amit \ Dutta ,\ title title Fidelity, rosen-zener dynamics, entropy and decoherence in one dimensional hard-core bosonic systems , \ @noop journal journal The European Physical Journal B \ volume 86 ,\ pages 204 ( year 2013 ) NoStop

    work page 2013

  41. [42]

    author author Tanay \ Nag , author Uma \ Divakaran , \ and\ author Amit \ Dutta ,\ title title Scaling of the decoherence factor of a qubit coupled to a spin chain driven across quantum critical points , \ 10.1103/PhysRevB.86.020401 journal journal Phys. Rev. B \ volume 86 ,\ pages 020401 ( year 2012 ) NoStop

    work page doi:10.1103/physrevb.86.020401 2012

  42. [43]

    author author Tanay \ Nag ,\ title title Excess energy and decoherence factor of a qubit coupled to a one-dimensional periodically driven spin chain , \ 10.1103/PhysRevE.93.062119 journal journal Phys. Rev. E \ volume 93 ,\ pages 062119 ( year 2016 ) NoStop

    work page doi:10.1103/physreve.93.062119 2016

  43. [44]

    author author Sei \ Suzuki , author Tanay \ Nag , \ and\ author Amit \ Dutta ,\ title title Dynamics of decoherence: Universal scaling of the decoherence factor , \ 10.1103/PhysRevA.93.012112 journal journal Phys. Rev. A \ volume 93 ,\ pages 012112 ( year 2016 ) NoStop

    work page doi:10.1103/physreva.93.012112 2016

  44. [45]

    author author Sudip \ Mukherjee \ and\ author Tanay \ Nag ,\ title title Dynamics of decoherence of an entangled pair of qubits locally connected to a one-dimensional disordered spin chain , \ @noop journal journal Journal of Statistical Mechanics: Theory and Experiment \ volume 2019 ,\ pages 043108 ( year 2019 ) NoStop

    work page 2019

  45. [46]

    author author Bogdan \ Damski , author H. T. \ Quan , \ and\ author Wojciech H. \ Zurek ,\ title title Critical dynamics of decoherence , \ 10.1103/PhysRevA.83.062104 journal journal Phys. Rev. A \ volume 83 ,\ pages 062104 ( year 2011 ) NoStop

    work page doi:10.1103/physreva.83.062104 2011

  46. [47]

    author author Tanay \ Nag , author Amit \ Dutta , \ and\ author Ayoti \ Patra ,\ title title Quenching dynamics and quantum information , \ @noop journal journal International Journal of Modern Physics B \ volume 27 ,\ pages 1345036 ( year 2013 ) NoStop

    work page 2013

  47. [48]

    author author Victor \ Mukherjee , author Shraddha \ Sharma , \ and\ author Amit \ Dutta ,\ title title Loschmidt echo with a nonequilibrium initial state: Early-time scaling and enhanced decoherence , \ 10.1103/PhysRevB.86.020301 journal journal Phys. Rev. B \ volume 86 ,\ pages 020301 ( year 2012 ) NoStop

    work page doi:10.1103/physrevb.86.020301 2012

  48. [49]

    author author Aavishkar A \ Patel , author Shraddha \ Sharma , \ and\ author Amit \ Dutta ,\ title title Quench dynamics of edge states in 2-d topological insulator ribbons , \ @noop journal journal The European Physical Journal B \ volume 86 ,\ pages 367 ( year 2013 ) NoStop

    work page 2013

  49. [50]

    author author Davide \ Rossini , author Tommaso \ Calarco , author Vittorio \ Giovannetti , author Simone \ Montangero , \ and\ author Rosario \ Fazio ,\ title title Decoherence induced by interacting quantum spin baths , \ 10.1103/PhysRevA.75.032333 journal journal Phys. Rev. A \ volume 75 ,\ pages 032333 ( year 2007 ) NoStop

    work page doi:10.1103/physreva.75.032333 2007

  50. [51]

    author author Lorenzo \ Campos Venuti \ and\ author Paolo \ Zanardi ,\ title title Unitary equilibrations: Probability distribution of the loschmidt echo , \ 10.1103/PhysRevA.81.022113 journal journal Phys. Rev. A \ volume 81 ,\ pages 022113 ( year 2010 ) NoStop

    work page doi:10.1103/physreva.81.022113 2010

  51. [52]

    author author Lorenzo \ Campos Venuti , author N. Tobias \ Jacobson , author Siddhartha \ Santra , \ and\ author Paolo \ Zanardi ,\ title title Exact infinite-time statistics of the loschmidt echo for a quantum quench , \ 10.1103/PhysRevLett.107.010403 journal journal Phys. Rev. Lett. \ volume 107 ,\ pages 010403 ( year 2011 ) NoStop

    work page doi:10.1103/physrevlett.107.010403 2011

  52. [53]

    author author Zi-Gang \ Yuan , author Ping \ Zhang , \ and\ author Shu-Shen \ Li ,\ title title Disentanglement of two qubits coupled to an xy spin chain: Role of quantum phase transition , \ 10.1103/PhysRevA.76.042118 journal journal Phys. Rev. A \ volume 76 ,\ pages 042118 ( year 2007 ) NoStop

    work page doi:10.1103/physreva.76.042118 2007

  53. [55]

    author author Qing \ Ai , author Tao \ Shi , author Guilu \ Long , \ and\ author C. P. \ Sun ,\ title title Induced entanglement enhanced by quantum criticality , \ 10.1103/PhysRevA.78.022327 journal journal Phys. Rev. A \ volume 78 ,\ pages 022327 ( year 2008 ) NoStop

    work page doi:10.1103/physreva.78.022327 2008

  54. [56]

    author author X. X. \ Yi , author H. T. \ Cui , \ and\ author L. C. \ Wang ,\ title title Entanglement induced in spin- 1/2 particles by a spin chain near its critical points , \ 10.1103/PhysRevA.74.054102 journal journal Phys. Rev. A \ volume 74 ,\ pages 054102 ( year 2006 ) NoStop

    work page doi:10.1103/physreva.74.054102 2006

  55. [57]

    author author Zhe \ Sun , author Xiaoguang \ Wang , \ and\ author C. P. \ Sun ,\ title title Disentanglement in a quantum-critical environment , \ 10.1103/PhysRevA.75.062312 journal journal Phys. Rev. A \ volume 75 ,\ pages 062312 ( year 2007 ) NoStop

    work page doi:10.1103/physreva.75.062312 2007

  56. [58]

    author author Ben-Qiong \ Liu , author Bin \ Shao , \ and\ author Jian \ Zou ,\ title title Quantum discord for a central two-qubit system coupled to an XY -spin-chain environment , \ 10.1103/PhysRevA.82.062119 journal journal Phys. Rev. A \ volume 82 ,\ pages 062119 ( year 2010 ) NoStop

    work page doi:10.1103/physreva.82.062119 2010

  57. [59]

    author author Uma \ Divakaran \ and\ author Amit \ Dutta ,\ title title The effect of the three-spin interaction and the next nearest neighbor interaction on thequenching dynamics of a transverse ising model , \ @noop journal journal Journal of Statistical Mechanics: Theory and Experiment \ volume 2007 ,\ pages P11001 ( year 2007 ) NoStop

    work page 2007

  58. [60]

    author author Sourav \ Bhattacharjee \ and\ author Amit \ Dutta ,\ title title Dynamical quantum phase transitions in extended transverse ising models , \ 10.1103/PhysRevB.97.134306 journal journal Phys. Rev. B \ volume 97 ,\ pages 134306 ( year 2018 ) NoStop

    work page doi:10.1103/physrevb.97.134306 2018

  59. [61]

    Zhang \ and\ author Z

    author author G. Zhang \ and\ author Z. Song ,\ title title Topological characterization of extended quantum ising models , \ 10.1103/PhysRevLett.115.177204 journal journal Phys. Rev. Lett. \ volume 115 ,\ pages 177204 ( year 2015 ) NoStop

    work page doi:10.1103/physrevlett.115.177204 2015

  60. [62]

    author author Angela \ Kopp \ and\ author Sudip \ Chakravarty ,\ title title Criticality in correlated quantum matter , \ @noop journal journal Nature Physics \ volume 1 ,\ pages 53--56 ( year 2005 ) NoStop

    work page 2005

  61. [63]

    author author Subir \ Sachdev ,\ @noop title Quantum Phase Transitions ,\ edition 2nd \ ed.\ ( publisher Cambridge University Press ,\ year 2011 ) NoStop

    work page 2011

  62. [64]

    author author H. T. \ Quan , author Z. Song , author X. F. \ Liu , author P. Zanardi , \ and\ author C. P. \ Sun ,\ title title Decay of loschmidt echo enhanced by quantum criticality , \ 10.1103/physrevlett.96.140604 journal journal Physical Review Letters \ volume 96 ( year 2006 b ),\ 10.1103/physrevlett.96.140604 NoStop

    work page doi:10.1103/physrevlett.96.140604 2006

  63. [65]

    author author H. Q. \ Lin ,\ title title Exact diagonalization of quantum-spin models , \ 10.1103/PhysRevB.42.6561 journal journal Phys. Rev. B \ volume 42 ,\ pages 6561--6567 ( year 1990 ) NoStop

    work page doi:10.1103/physrevb.42.6561 1990

  64. [66]

    Quantum computation algorithm for many-body studies

    author author E. Ovrum \ and\ author M. Hjorth-Jensen ,\ https://arxiv.org/abs/0705.1928 title Quantum computation algorithm for many-body studies , \ ( year 2007 ),\ http://arxiv.org/abs/0705.1928 arXiv:0705.1928 [quant-ph] NoStop

    work page internal anchor Pith review Pith/arXiv arXiv 1928

  65. [67]

    author author Tanay \ Nag \ and\ author Amit \ Dutta ,\ title title Generation of concurrence between two qubits locally coupled to a one-dimensional spin chain , \ 10.1103/PhysRevA.94.022316 journal journal Phys. Rev. A \ volume 94 ,\ pages 022316 ( year 2016 b ) NoStop

    work page doi:10.1103/physreva.94.022316 2016

  66. [68]

    author author E. H. \ Lieb \ and\ author D. W. \ Robinson ,\ title title The finite group velocity of quantum spin systems , \ 10.1007/BF01645779 journal journal Commun. Math. Phys. \ volume 28 ,\ pages 251--257 ( year 1972 ) NoStop

    work page doi:10.1007/bf01645779 1972

  67. [69]

    author author Immanuel \ Bloch , author Jean \ Dalibard , \ and\ author Sylvain \ Nascimb \`e ne ,\ title title Quantum simulations with ultracold quantum gases , \ 10.1038/nphys2259 journal journal Nature Physics \ volume 8 ,\ pages 267--276 ( year 2012 ) NoStop

    work page doi:10.1038/nphys2259 2012

  68. [70]

    \ Bakr , author Ruichao \ Ma , author M

    author author Jonathan \ Simon , author Waseem S. \ Bakr , author Ruichao \ Ma , author M. Eric \ Tai , author Philipp M. \ Preiss , \ and\ author Markus \ Greiner ,\ title title Quantum simulation of antiferromagnetic spin chains in an optical lattice , \ 10.1038/nature09994 journal journal Nature \ volume 472 ,\ pages 307--312 ( year 2011 ) NoStop

    work page doi:10.1038/nature09994 2011

  69. [71]

    Kim , author M.-S

    author author K. Kim , author M.-S. \ Chang , author S. Korenblit , author R. Islam , author E. E. \ Edwards , author J. K. \ Freericks , author G.-D. \ Lin , author L.-M. \ Duan , \ and\ author C. Monroe ,\ title title Quantum simulation of frustrated ising spins with trapped ions , \ 10.1038/nature09071 journal journal Nature \ volume 465 ,\ pages 590--...

    work page doi:10.1038/nature09071 2010

  70. [72]

    author author J. R. \ Maze , author P. L. \ Stanwix , author J. S. \ Hodges , author S. Hong , author J. M. \ Taylor , author P. Cappellaro , author L. Jiang , author M. V. Gurudev \ Dutt , author E. Togan , author A. S. \ Zibrov , author A. Yacoby , author R. L. \ Walsworth , \ and\ author M. D. \ Lukin ,\ title title Nanoscale magnetic sensing with an i...

    work page doi:10.1038/nature07279 2008

  71. [73]

    Childress , author M

    author author L. Childress , author M. V. Gurudev \ Dutt , author J. M. \ Taylor , author A. S. \ Zibrov , author F. Jelezko , author J. Wrachtrup , author P. R. \ Hemmer , \ and\ author M. D. \ Lukin ,\ title title Coherent dynamics of coupled electron and nuclear spin qubits in diamond , \ 10.1126/science.1131871 journal journal Science \ volume 314 ,\ ...

    work page doi:10.1126/science.1131871 2006

  72. [74]

    Damodarakurup , author M

    author author S. Damodarakurup , author M. Lucamarini , author G. Di Giuseppe , author D. Vitali , \ and\ author P. Tombesi ,\ title title Experimental inhibition of decoherence on flying qubits via ``bang-bang'' control , \ 10.1103/PhysRevLett.103.040502 journal journal Phys. Rev. Lett. \ volume 103 ,\ pages 040502 ( year 2009 ) NoStop

    work page doi:10.1103/physrevlett.103.040502 2009