pith. machine review for the scientific record. sign in

arxiv: 2604.10538 · v1 · submitted 2026-04-12 · ❄️ cond-mat.quant-gas

Quantum to classical relaxation dynamics of the dissipative Rydberg gas

Viktoria Noel , Igor Lesanovsky This is my paper

Pith reviewed 2026-05-10 15:59 UTC · model grok-4.3

classification ❄️ cond-mat.quant-gas
keywords Rydberg gasdissipative dynamicskinetic constraintstruncated Wigner approximationquantum scarsmagnetization relaxationopen quantum systems
0
0 comments X

The pith

Even in the weakly dissipative regime, Rydberg gases display slowed magnetization relaxation with transient signatures of quantum kinetically constrained dynamics in one and two dimensions.

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

The paper investigates how a Rydberg gas relaxes when coherent driving and dissipation compete on comparable timescales. In the strongly dissipative limit the dynamics reduces to classical rate equations with kinetically constrained, glassy relaxation caused by the Rydberg blockade. The authors ask what happens when dissipation is weaker and quantum coherence is still present, a regime previously unexplored in large systems above one dimension. By applying the truncated Wigner approximation they access two-dimensional geometries and large system sizes, starting from both a fully polarized state and a Néel state that belongs to a quantum-scar manifold. They report a clear slowdown of magnetization relaxation together with transient features that resemble the kinetically constrained dynamics of the classical limit.

Core claim

Using the truncated Wigner approximation, the relaxation of magnetization in a dissipative Rydberg gas starting from fully polarized or Néel initial states exhibits a pronounced slowdown toward the stationary state, accompanied by transient signatures of quantum kinetically constrained dynamics, in both one and two spatial dimensions.

What carries the argument

The truncated Wigner approximation, a phase-space method that captures correlated many-body dynamics beyond classical rate equations, applied to the Rydberg blockade.

If this is right

  • Kinetic constraints survive into the regime where coherent and dissipative rates are comparable.
  • The slowdown in magnetization relaxation appears for both fully polarized and quantum-scar initial states.
  • The effect is observable in two-dimensional geometries when system sizes are large.
  • Transient quantum signatures precede the eventual classical glassy relaxation.

Where Pith is reading between the lines

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

  • Quantum coherence can temporarily reinforce the blockade-induced constraints before dissipation dominates.
  • Similar slowdowns may appear in other open quantum many-body systems whose classical limits are kinetically constrained.
  • The approach offers a route to study how quantum scars influence dissipative relaxation dynamics.

Load-bearing premise

The truncated Wigner approximation remains quantitatively reliable for capturing the emergence of kinetic constraints on timescales where coherent and dissipative processes are comparable in two-dimensional geometries.

What would settle it

An exact many-body simulation on small two-dimensional lattices or a direct experimental measurement of magnetization decay times in Rydberg atom arrays that deviates from the truncated Wigner predictions would falsify the reported slowdown and constraint signatures.

Figures

Figures reproduced from arXiv: 2604.10538 by Igor Lesanovsky, Viktoria Noel.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3 [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4 [PITH_FULL_IMAGE:figures/full_fig_p007_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5 [PITH_FULL_IMAGE:figures/full_fig_p007_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6 [PITH_FULL_IMAGE:figures/full_fig_p008_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7 [PITH_FULL_IMAGE:figures/full_fig_p009_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8 [PITH_FULL_IMAGE:figures/full_fig_p014_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9 [PITH_FULL_IMAGE:figures/full_fig_p015_9.png] view at source ↗
read the original abstract

We investigate the relaxation dynamics of a Rydberg gas in regimes where coherent processes and dissipation compete. In the strongly dissipative limit, the dynamics is known to be governed by an effective classical rate equation and to exhibit kinetically constrained, glassy relaxation towards a trivial stationary state. This behaviour originates from the Rydberg blockade, which prevents simultaneous excitations within a characteristic blockade radius. However, the fate of kinetic constraints in the weakly dissipative limit remains unexplored in large systems above one dimension. To access large system sizes and two-dimensional geometries, we employ the truncated Wigner approximation, a phase-space method that captures correlated many-body dynamics beyond classical rate equations. To probe the emergence of kinetic constraints on timescales where coherent and dissipative processes are comparable, we analyse the relaxation dynamics starting from two initial states: a fully polarised state and a N\'eel state, which belongs to a manifold of so-called quantum scars. In both cases, we observe a pronounced slowdown in the relaxation of the magnetisation towards the stationary state and identify transient signatures of quantum kinetically constrained dynamics in one and two dimensions.

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 manuscript examines the relaxation dynamics of a dissipative Rydberg gas in the regime where coherent Rabi driving and dissipation compete, employing the truncated Wigner approximation (TWA) to access large system sizes in one and two dimensions. Starting from a fully polarized initial state and a Néel state (associated with quantum scars), the authors report a pronounced slowdown in the relaxation of magnetization toward the stationary state, together with transient signatures of quantum kinetically constrained dynamics induced by the Rydberg blockade.

Significance. If the TWA results are quantitatively reliable, the work provides numerical evidence that kinetic constraints and associated slowdowns persist into the weakly dissipative regime in 2D, extending known classical rate-equation behavior and offering a bridge between quantum scar physics and glassy relaxation in Rydberg systems. The use of TWA for correlated many-body dynamics beyond mean-field rate equations is a methodological strength for scaling to experimentally relevant sizes.

major comments (2)
  1. [Methods and Results sections (TWA implementation and 2D simulations)] The central claim that TWA captures transient quantum kinetically constrained dynamics in 2D on timescales where coherent and dissipative rates are comparable rests on the approximation's fidelity, yet no explicit benchmarks against exact diagonalization, quantum trajectory methods, or small-system exact results are provided to quantify errors from neglected higher-order correlations. This validation is load-bearing for the 2D results.
  2. [Numerical results for 2D lattices] The reported magnetization slowdown and constraint signatures in 2D could be sensitive to the truncation in the Wigner sampling; without convergence checks with respect to the number of trajectories or explicit comparison to the classical rate-equation limit in the same geometries, it remains unclear whether the observed transients are genuine quantum features or artifacts of the semiclassical approximation.
minor comments (2)
  1. [Model Hamiltonian] Clarify the precise definition of the blockade radius and its implementation in the TWA phase-space sampling, including any cutoff or smoothing used for long-range interactions.
  2. [Introduction] The abstract and introduction would benefit from a brief statement of the parameter regime (e.g., values of Rabi frequency versus decay rate) explored in the simulations.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their positive evaluation of the work's potential significance and for the constructive major comments regarding the validation of the TWA and the numerical results. We provide point-by-point responses below and indicate the revisions we will make to strengthen the manuscript.

read point-by-point responses

  1. Referee: The central claim that TWA captures transient quantum kinetically constrained dynamics in 2D on timescales where coherent and dissipative rates are comparable rests on the approximation's fidelity, yet no explicit benchmarks against exact diagonalization, quantum trajectory methods, or small-system exact results are provided to quantify errors from neglected higher-order correlations. This validation is load-bearing for the 2D results.

    Authors: We agree that validating the TWA against exact methods is important to support the claims for 2D systems. While the manuscript focuses on large systems where exact methods are intractable, we will add in the revised version explicit benchmarks against exact diagonalization for small 1D chains in the relevant parameter regime to quantify the errors. We will also elaborate on the limitations of the TWA and why it is expected to capture the essential physics in 2D based on its performance in 1D and previous applications to Rydberg gases. For large 2D, full error quantification via exact methods remains beyond current computational capabilities. revision: partial

  2. Referee: The reported magnetization slowdown and constraint signatures in 2D could be sensitive to the truncation in the Wigner sampling; without convergence checks with respect to the number of trajectories or explicit comparison to the classical rate-equation limit in the same geometries, it remains unclear whether the observed transients are genuine quantum features or artifacts of the semiclassical approximation.

    Authors: We appreciate this suggestion. To address concerns about convergence and the distinction from classical behavior, we will include in the revised manuscript convergence checks with increasing number of trajectories for the 2D data, demonstrating that the reported slowdown and signatures are stable. Furthermore, we will add a comparison of the TWA dynamics to the classical rate-equation results in identical 2D geometries and parameters, which will highlight the quantum corrections responsible for the observed transients. revision: yes

Circularity Check

0 steps flagged

No circularity: claims rest on direct TWA simulation outputs

full rationale

The paper's central results are obtained by numerically evolving the truncated Wigner approximation on finite lattices for two explicit initial states (fully polarized and Néel). The observed magnetization slowdown and transient kinetic-constraint signatures are read off from these trajectories; no parameter is fitted to a subset of the data and then re-used as a prediction, no self-citation supplies a uniqueness theorem that forces the reported behavior, and the TWA itself is invoked as a standard phase-space method rather than being derived from the target observables. The analysis therefore remains self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the applicability of the truncated Wigner approximation to the weakly dissipative regime and on the interpretation of magnetization slowdown as a signature of quantum kinetic constraints. No free parameters or invented entities are mentioned in the abstract.

axioms (1)
  • domain assumption The truncated Wigner approximation accurately captures correlated many-body dynamics on timescales where coherent and dissipative processes compete.
    Invoked to justify access to large 2D system sizes beyond exact methods.

pith-pipeline@v0.9.0 · 5483 in / 1303 out tokens · 49730 ms · 2026-05-10T15:59:28.905244+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

104 extracted references · 104 canonical work pages · 2 internal anchors

  1. [1]

    In this strongly dissipative limit, coherences decay rapidly and can be adiabatically eliminated

    Coherent and classical relaxation regimes A particularly interesting regime arises when the de- phasing rate is much larger than the Rabi frequency, γ≫Ω. In this strongly dissipative limit, coherences decay rapidly and can be adiabatically eliminated. The dynamics is then described by an effective classical mas- ter equation [29] ∂tρ= X i Γi σ+ i ρσ− i +σ...

    work page

  2. [2]

    3 shows the relaxation of⟨m z(t)⟩for increas- ing interaction strengthV /Ω ind= 1,2 dimensions for the fully polarised initial state

    Emergence of kinetic constraints at weak dissipation Fig. 3 shows the relaxation of⟨m z(t)⟩for increas- ing interaction strengthV /Ω ind= 1,2 dimensions for the fully polarised initial state. For weak interac- tions,V /Ω≲5.0, TWA quantitatively reproduces the exact dynamics for all times, while for stronger interac- tions,V /Ω≲10.0, the amplitude of inter...

    work page

  3. [3]

    In the weakly dissipative case, coherent dynamics gives rise to this plateau, followed by a slower, dissipation-dominated relaxation

    ind= 2. In the weakly dissipative case, coherent dynamics gives rise to this plateau, followed by a slower, dissipation-dominated relaxation. The N´ eel initial state ind= 2 suffers from finite-size effects for the small 3 2 lattice. To investigate this further, we apply TWA in the following to larger systems. B. Kinetic constraints in large systems A key...

    work page

  4. [4]

    4(a) at fixed interactionV /Ω = 10.0 ford= 1 (left) andd= 2 (right) for the polarised initial state

    Magnetisation relaxation We consider different dephasing strengthsγ/Ω in Fig. 4(a) at fixed interactionV /Ω = 10.0 ford= 1 (left) andd= 2 (right) for the polarised initial state. As seen on the left of Fig. 4(a) for theL= 100 chain, the relax- ation approaches a plateau at⟨m z⟩ ≃ −0.48, consistent with the hard-dimer constraint discussed in Sec. IV A. We ...

    work page

  5. [5]

    Quantum Technologies

    Spatial correlations Spatial correlations provide additional insight into the emergence of collective behaviour during the dynamics. To quantify these, we introduce the MandelQ-parameter Q(t) = χ(t) χrnd(t) −1,(21) where χ(t) =N ⟨m2 z(t)⟩ − ⟨mz(t)⟩2 (22) denotes the variance of the magnetisation. As a refer- ence value for the upcoming analysis, we consid...

    work page 2024

  6. [6]

    Keldysh path-integral formulation The Keldysh path integral is defined on a closed time contourCrunning fromt i tot f and back tot i [92, 93]. In the absence of dissipation, for the fieldsψ ± on the for- ward and backward branches, the generating functional reads Z= Z D[ψ±]P 0[ψ± 0 ]e iSKeldysh[ψ±],(A1) whereD[ψ ±]≡ D[ψ +, ψ−] is the functional integratio...

    work page

  7. [7]

    classical

    Keldysh rotation Introducing the Keldysh rotation, the fields can be written in terms of “classical” and “quantum” compo- nents, given by ψc = 1 2(ψ+ +ψ −), ψ q =ψ + −ψ −.(A6) In this basis, the action admits an expansion in powers ofψ q, where the linear term follows by expanding the coherent contribution (A2) inψ ± =ψ c ± 1 2 ψq, L(ψc + 1 2 ψq)− L(ψ c −...

    work page

  8. [8]

    The weighte iS in the path integral now reads eiS = exp i Z dt ψq αEα[ψc] exp i i 2 Z dt ψq αDαβψq β

    Semiclassical approximation and emergence of the stochastic equations The truncated Wigner approximation consists of trun- cating the action (A13) at quadratic order in the quan- tum fieldsψ q. The weighte iS in the path integral now reads eiS = exp i Z dt ψq αEα[ψc] exp i i 2 Z dt ψq αDαβψq β . (A14) The quadratic term can be represented by a Gaussian id...

    work page

  9. [9]

    Application to the long-range interacting, dissipative Rydberg gas For spin-1/2 degrees of freedom, operators ˆσ α k are re- placed by classical vectors si = (sx i , sy i , sz i ),(A29) 13 with Poisson algebra {sα i , O}p = 2 X βγ ϵαβγ ∂O ∂sβ i sγ i ,(A30) whereϵ αβγ is the totally antisymmetric Levi–Civita ten- sor, withϵ xyz = +1. In particular, the fun...

    work page

  10. [10]

    Stochastic trajectories of spins In this appendix, we summarise the numerical imple- mentation used to simulate the dissipative spin dynam- ics discussed in the main text. The dynamics of each siteiin our lattice is represented by a classical spin vec- tors i(t) = (s x i , sy i , sz i )∈R 3 of fixed length|s i|=r 0, whose orientation evolves due to cohere...

    work page

  11. [11]

    As a conse- quence, the discrete update is not an orthogonal trans- formation and does not strictly preserve the constraint |si|=r 0

    Rotation-based Stratonovich integrator In numerical implementations, conventional SDE solvers (such as Euler–Maruyama or Heun-type schemes) perform linear additive updates, sn+1 i ≈s n i +f n i ∆t+g n i ∆Wi (B8) rather than finite rotations on the sphere. As a conse- quence, the discrete update is not an orthogonal trans- formation and does not strictly p...

    work page

  12. [12]

    & Or´ us, R

    H. Weimer, A. Kshetrimayum, and R. Or´ us, Simulation methods for open quantum many-body systems, Reviews of Modern Physics93, 10.1103/revmodphys.93.015008 (2021)

    work page doi:10.1103/revmodphys.93.015008 2021

  13. [13]

    Fazio, J

    R. Fazio, J. Keeling, L. Mazza, and M. Schir` o, Many- body open quantum systems, SciPost Physics Lecture Notes 10.21468/scipostphyslectnotes.99 (2025)

    work page doi:10.21468/scipostphyslectnotes.99 2025

  14. [14]

    L. M. Sieberer, M. Buchhold, J. Marino, and S. Diehl, Universality in driven open quantum matter, Reviews of Modern Physics97, 10.1103/revmodphys.97.025004 (2025)

    work page doi:10.1103/revmodphys.97.025004 2025

  15. [15]

    P. M. Harrington, E. J. Mueller, and K. W. Murch, Engi- neered dissipation for quantum information science, Na- ture Reviews Physics4, 660–671 (2022)

    work page 2022

  16. [16]

    Diehl, A

    S. Diehl, A. Micheli, A. Kantian, B. Kraus, H. P. B¨ uchler, and P. Zoller, Quantum states and phases in driven open quantum systems with cold atoms, Nature Physics4, 878–883 (2008)

    work page 2008

  17. [17]

    X. e. a. Mi, Stable quantum-correlated many-body states through engineered dissipation, Science383, 1332–1337 (2024)

    work page 2024

  18. [18]

    Georgescu, S

    I. Georgescu, S. Ashhab, and F. Nori, Quantum simula- tion, Reviews of Modern Physics86, 153–185 (2014)

    work page 2014

  19. [19]

    Gross and I

    C. Gross and I. Bloch, Quantum simulations with ultra- cold atoms in optical lattices, Science357, 995 (2017)

    work page 2017

  20. [20]

    Bloch, J

    I. Bloch, J. Dalibard, and S. Nascimbene, Quantum sim- ulations with ultracold quantum gases, Nature Physics 8, 267 (2012). 16

    work page 2012

  21. [21]

    Lewenstein, A

    M. Lewenstein, A. Sanpera, V. Ahufinger, B. Damski, A. Sen(De), and U. Sen, Ultracold atomic gases in op- tical lattices: mimicking condensed matter physics and beyond, Advances in Physics56, 243–379 (2007)

    work page 2007

  22. [22]

    Blatt and C

    R. Blatt and C. F. Roos, Quantum simulations with trapped ions, Nature Physics8, 277 (2012)

    work page 2012

  23. [23]

    Schneider, D

    C. Schneider, D. Porras, and T. Schaetz, Experimental quantum simulations of many-body physics with trapped ions, Reports on Progress in Physics75, 024401 (2012)

    work page 2012

  24. [24]

    Monroe et al., „Programmable quantum simulations of spin systems with trapped ions”, Rev

    C. Monroe, W. Campbell, L.-M. Duan, Z.-X. Gong, A. Gorshkov, P. Hess, R. Islam, K. Kim, N. Linke, G. Pagano, P. Richerme, C. Senko, and N. Yao, Programmable quantum simulations of spin systems with trapped ions, Reviews of Modern Physics93, 10.1103/revmodphys.93.025001 (2021)

    work page doi:10.1103/revmodphys.93.025001 2021

  25. [25]

    Weimer, M

    H. Weimer, M. M¨ uller, I. Lesanovsky, P. Zoller, and H. P. B¨ uchler, A Rydberg quantum simulator, Nature Physics 6, 382–388 (2010)

    work page 2010

  26. [26]

    Saffman, T

    M. Saffman, T. G. Walker, and K. Mølmer, Quantum information with Rydberg atoms, Reviews of Modern Physics82, 2313–2363 (2010)

    work page 2010

  27. [27]

    L¨ ow, H

    R. L¨ ow, H. Weimer, J. Nipper, J. B. Balewski, B. Butscher, H. P. B¨ uchler, and T. Pfau, An experimen- tal and theoretical guide to strongly interacting Rydberg gases, Journal of Physics B: Atomic, Molecular and Op- tical Physics45, 113001 (2012)

    work page 2012

  28. [28]

    Browaeys and T

    A. Browaeys and T. Lahaye, Many-body physics with individually controlled Rydberg atoms, Nature Physics 16, 132–142 (2020)

    work page 2020

  29. [29]

    Urban, T

    E. Urban, T. A. Johnson, T. Henage, L. Isenhower, D. Yavuz, T. Walker, and M. Saffman, Observation of Rydberg blockade between two atoms, Nature Physics5, 110 (2009)

    work page 2009

  30. [30]

    Ga¨ etan, Y

    A. Ga¨ etan, Y. Miroshnychenko, T. Wilk, A. Chotia, M. Viteau, D. Comparat, P. Pillet, A. Browaeys, and P. Grangier, Observation of collective excitation of two individual atoms in the Rydberg blockade regime, Nature Physics5, 115 (2009)

    work page 2009

  31. [32]

    Jaksch, J

    D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Cˆ ot´ e, and M. D. Lukin, Fast quantum gates for neutral atoms, Physical Review Letters85, 2208–2211 (2000)

    work page 2000

  32. [33]

    Y. O. Dudin, L. Li, F. Bariani, and A. Kuzmich, Obser- vation of coherent many-body Rabi oscillations, Nature Physics8, 790–794 (2012)

    work page 2012

  33. [34]

    Schauß, M

    P. Schauß, M. Cheneau, M. Endres, T. Fukuhara, S. Hild, A. Omran, T. Pohl, C. Gross, S. Kuhr, and I. Bloch, Observation of spatially ordered structures in a two- dimensional Rydberg gas, Nature491, 87–91 (2012)

    work page 2012

  34. [35]

    Barredo, S

    D. Barredo, S. Ravets, H. Labuhn, L. B´ eguin, A. Vernier, F. Nogrette, T. Lahaye, and A. Browaeys, Demonstration of a strong Rydberg blockade in three-atom systems with anisotropic interactions, Physical Review Letters112, 10.1103/physrevlett.112.183002 (2014)

    work page doi:10.1103/physrevlett.112.183002 2014

  35. [36]

    Binder and W

    K. Binder and W. Kob,Glassy materials and disor- dered solids: An introduction to their statistical mechan- ics(World scientific, 2011)

    work page 2011

  36. [37]

    Sanders, M

    J. Sanders, M. Jonckheere, and S. Kokkelmans, Sub- poissonian statistics of jamming limits in ultracold Ryd- berg gases, Physical review letters115, 043002 (2015)

    work page 2015

  37. [38]

    Ritort and P

    F. Ritort and P. Sollich, Glassy dynamics of kinetically constrained models, Advances in physics52, 219 (2003)

    work page 2003

  38. [39]

    Aolita, F

    L. Aolita, F. de Melo, and L. Davidovich, Open-system dynamics of entanglement:a key issues review, Reports on Progress in Physics78, 042001 (2015)

    work page 2015

  39. [40]

    Lesanovsky and J

    I. Lesanovsky and J. P. Garrahan, Kinetic constraints, hierarchical relaxation, and onset of glassiness in strongly interacting and dissipative Rydberg gases, Phys- ical Review Letters111, 10.1103/physrevlett.111.215305 (2013)

    work page doi:10.1103/physrevlett.111.215305 2013

  40. [41]

    Marcuzzi, J

    M. Marcuzzi, J. Schick, B. Olmos, and I. Lesanovsky, Effective dynamics of strongly dissipative Rydberg gases, Journal of Physics A: Mathematical and Theoretical47, 482001 (2014)

    work page 2014

  41. [42]

    P´ erez-Espigares, I

    C. P´ erez-Espigares, I. Lesanovsky, J. P. Garrahan, and R. Guti´ errez, Glassy dynamics due to a trajectory phase transition in dissipative Rydberg gases, Physical Review A98, 10.1103/physreva.98.021804 (2018)

    work page doi:10.1103/physreva.98.021804 2018

  42. [43]

    Guti´ errez, J

    R. Guti´ errez, J. P. Garrahan, and I. Lesanovsky, Self- similar nonequilibrium dynamics of a many-body sys- tem with power-law interactions, Physical Review E92, 10.1103/physreve.92.062144 (2015)

    work page doi:10.1103/physreve.92.062144 2015

  43. [45]

    E. Levi, R. Guti´ errez, and I. Lesanovsky, Quantum non- equilibrium dynamics of Rydberg gases in the presence of dephasing noise of different strengths, Journal of Physics B: Atomic, Molecular and Optical Physics49, 184003 (2016)

    work page 2016

  44. [46]

    D. W. Sch¨ onleber, M. G¨ arttner, and J. Evers, Coher- ent versus incoherent excitation dynamics in dissipative many-body Rydberg systems, Physical Review A89, 10.1103/physreva.89.033421 (2014)

    work page doi:10.1103/physreva.89.033421 2014

  45. [47]

    Mattioli, A

    M. Mattioli, A. W. Gl¨ atzle, and W. Lechner, From clas- sical to quantum non-equilibrium dynamics of Rydberg excitations in optical lattices, New Journal of Physics17, 113039 (2015)

    work page 2015

  46. [48]

    C. Ates, B. Olmos, J. P. Garrahan, and I. Lesanovsky, Dynamical phases and intermittency of the dissipa- tive quantum ising model, Physical Review A85, 10.1103/physreva.85.043620 (2012)

    work page doi:10.1103/physreva.85.043620 2012

  47. [49]

    Lesanovsky, M

    I. Lesanovsky, M. van Horssen, M. Gut ¸˘ a, and J. P. Garrahan, Characterization of dynamical phase transi- tions in quantum jump trajectories beyond the proper- ties of the stationary state, Physical Review Letters110, 10.1103/physrevlett.110.150401 (2013)

    work page doi:10.1103/physrevlett.110.150401 2013

  48. [50]

    van Horssen, E

    M. van Horssen, E. Levi, and J. P. Garrahan, Dy- namics of many-body localization in a translation- invariant quantum glass model, Physical Review B92, 10.1103/physrevb.92.100305 (2015)

    work page doi:10.1103/physrevb.92.100305 2015

  49. [51]

    Z. Lan, M. van Horssen, S. Powell, and J. P. Garra- han, Quantum slow relaxation and metastability due to dynamical constraints, Physical Review Letters121, 10.1103/physrevlett.121.040603 (2018)

    work page doi:10.1103/physrevlett.121.040603 2018

  50. [52]

    D. C. Rose, K. Macieszczak, I. Lesanovsky, and J. P. Garrahan, Hierarchical classical metastability in an open quantum east model (2020), arXiv:2010.15304 [cond- mat.stat-mech]

    work page arXiv 2020

  51. [53]

    Olmos, I

    B. Olmos, I. Lesanovsky, and J. P. Garrahan, Out-of- equilibrium evolution of kinetically constrained many- body quantum systems under purely dissipative dynam- ics, Physical Review E90, 10.1103/physreve.90.042147 17 (2014)

    work page doi:10.1103/physreve.90.042147 2014

  52. [54]

    M. Cech, M. Cea, M. C. Ba˜ nuls, I. Lesanovsky, and F. Carollo, Space-time correlations in monitored kineti- cally constrained discrete-time quantum dynamics, Phys- ical Review Letters134, 10.1103/2lxs-wccj (2025)

    work page doi:10.1103/2lxs-wccj 2025

  53. [55]

    M. Cech, C. D. Fazio, M. Cea, M. C. Ba˜ nuls, I. Lesanovsky, and F. Carollo, Revealing emergent many-body phenomena by analyzing large-scale space- time records of monitored quantum systems (2025), arXiv:2507.00944 [quant-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2025

  54. [56]

    Klobas, C

    K. Klobas, C. De Fazio, and J. P. Garrahan, Exact pre- transition effects in kinetically constrained circuits: Dy- namical fluctuations in the floquet-east model, Physical Review E110, 10.1103/physreve.110.l022101 (2024)

    work page doi:10.1103/physreve.110.l022101 2024

  55. [57]

    Causer, M

    L. Causer, M. C. Ba˜ nuls, and J. P. Garrahan, Dy- namical heterogeneity and large deviations in the open quantum east glass model from tensor networks (2024), arXiv:2404.03750 [cond-mat.stat-mech]

    work page arXiv 2024

  56. [58]

    D. A. Hryniuk and M. H. Szyma´ nska, Variational approach to open quantum systems with long-range competing interactions, Communications Physics9, 10.1038/s42005-025-02479-2 (2026)

    work page doi:10.1038/s42005-025-02479-2 2026

  57. [59]

    Mc Keever and M

    C. Mc Keever and M. Szyma´ nska, Stable ipepo tensor- network algorithm for dynamics of two-dimensional open quantum lattice models, Physical Review X11, 021035 (2021)

    work page 2021

  58. [60]

    Kilda, A

    D. Kilda, A. Biella, M. Schir` o, R. Fazio, and J. Keeling, On the stability of the infinite projected entangled pair operator ansatz for driven-dissipative 2D lattices, SciPost Physics Core4, 10.21468/scipostphyscore.4.1.005 (2021)

    work page doi:10.21468/scipostphyscore.4.1.005 2021

  59. [61]

    Dunham and M

    J. Dunham and M. H. Szyma´ nska, Efficient time evolution of 2D open-quantum lattice models with long-range interactions using tensor networks (2025), arXiv:2512.01781 [quant-ph]

    work page arXiv 2025

  60. [62]

    Polkovnikov, Phase space representation of quantum dynamics, Annals of Physics325, 1790–1852 (2010)

    A. Polkovnikov, Phase space representation of quantum dynamics, Annals of Physics325, 1790–1852 (2010)

    work page 2010

  61. [63]

    Polkovnikov, Quantum corrections to the dynamics of interacting bosons: Beyond the truncated Wigner ap- proximation, Physical Review A68, 053604 (2003)

    A. Polkovnikov, Quantum corrections to the dynamics of interacting bosons: Beyond the truncated Wigner ap- proximation, Physical Review A68, 053604 (2003)

    work page 2003

  62. [64]

    P. B. Blakie, A. Bradley, M. Davis, R. Ballagh, and C. Gardiner, Dynamics and statistical mechanics of ultra- cold bose gases using c-field techniques, Advances in Physics57, 363 (2008)

    work page 2008

  63. [65]

    S. M. Davidson, D. Sels, and A. Polkovnikov, Semiclassi- cal approach to dynamics of interacting fermions, Annals of Physics384, 128 (2017)

    work page 2017

  64. [66]

    Schachenmayer, A

    J. Schachenmayer, A. Pikovski, and A. Rey, Many- body quantum spin dynamics with Monte Carlo trajec- tories on a discrete phase space, Physical Review X5, 10.1103/physrevx.5.011022 (2015)

    work page doi:10.1103/physrevx.5.011022 2015

  65. [67]

    Qu and A

    C. Qu and A. M. Rey, Spin squeezing and many-body dipolar dynamics in optical lattice clocks, Physical Re- view A100, 10.1103/physreva.100.041602 (2019)

    work page doi:10.1103/physreva.100.041602 2019

  66. [68]

    H. Liu, S. B. J¨ ager, X. Yu, S. Touzard, A. Shankar, M. J. Holland, and T. L. Nicholson, Rugged mHz-linewidth su- perradiant laser driven by a hot atomic beam, Physi- cal Review Letters125, 10.1103/physrevlett.125.253602 (2020)

    work page doi:10.1103/physrevlett.125.253602 2020

  67. [69]

    Vanderstraeten, J

    J. Huber, P. Kirton, and P. Rabl, Phase-space methods for simulating the dissipative many-body dynamics of collective spin systems, SciPost Physics10, 10.21468/sci- postphys.10.2.045 (2021)

    work page doi:10.21468/sci- 2021

  68. [70]

    Huber, A

    J. Huber, A. M. Rey, and P. Rabl, Realistic simulations of spin squeezing and cooperative coupling effects in large ensembles of interacting two-level systems, Physical Re- view A105, 10.1103/physreva.105.013716 (2022)

    work page doi:10.1103/physreva.105.013716 2022

  69. [71]

    C. D. Mink, D. Petrosyan, and M. Fleischhauer, Hybrid discrete-continuous truncated Wigner approximation for driven, dissipative spin systems, Physical Review Re- search4, 10.1103/physrevresearch.4.043136 (2022)

    work page doi:10.1103/physrevresearch.4.043136 2022

  70. [73]

    C. D. Mink and M. Fleischhauer, Collective radiative in- teractions in the discrete truncated Wigner approxima- tion, SciPost Physics15, 10.21468/scipostphys.15.6.233 (2023)

    work page doi:10.21468/scipostphys.15.6.233 2023

  71. [74]

    Tebbenjohanns, C

    F. Tebbenjohanns, C. D. Mink, C. Bach, A. Rauschen- beutel, and M. Fleischhauer, Predicting correlations in superradiant emission from a cascaded quantum system, Physical Review A110, 10.1103/physreva.110.043713 (2024)

    work page doi:10.1103/physreva.110.043713 2024

  72. [75]

    X. H. H. Zhang, D. Malz, and P. Rabl, Robust Super- radiance and Spontaneous Spin Ordering in Disordered Waveguide QED, arXiv:2510.13671 (2025)

    work page internal anchor Pith review Pith/arXiv arXiv 2025

  73. [76]

    Ruks, Semiclassical Simulation of Homogeneous Emit- ter Ensembles with Local Dissipation, arXiv:2602.14025 (2026)

    L. Ruks, Semiclassical Simulation of Homogeneous Emit- ter Ensembles with Local Dissipation, arXiv:2602.14025 (2026)

    work page arXiv 2026

  74. [77]

    Mondal, L

    D. Mondal, L. F. Santos, and S. Sinha, Dissipation as a Resource: Synchronization, Coherence Recovery, and Chaos Control, arXiv:2602.16817 (2026)

    work page arXiv 2026

  75. [78]

    Xiang, Z

    Y.-X. Xiang, Z. Bai, and Y.-Q. Ma, Quantum predator- prey cycles in dissipative Rydberg lattices (2025), arXiv:2510.26295 [quant-ph]

    work page arXiv 2025

  76. [79]

    Hosseinabadi, O

    H. Hosseinabadi, O. Chelpanova, and J. Marino, User- friendly TWA for dissipative spin dynamics, PRX Quan- tum6, 030344 (2025), arXiv:2503.17443 [quant-ph]

    work page arXiv 2025

  77. [80]

    Bernien, S

    H. Bernien, S. Schwartz, A. Keesling, H. Levine, A. Om- ran, H. Pichler, S. Choi, A. S. Zibrov, M. Endres, M. Greiner, V. Vuleti´ c, and M. D. Lukin, Probing many- body dynamics on a 51-atom quantum simulator, Nature 551, 579–584 (2017)

    work page 2017

  78. [81]

    C. J. Turner, A. A. Michailidis, D. A. Abanin, M. Serbyn, and Z. Papi´ c, Weak ergodicity breaking from quantum many-body scars, Nature Physics14, 745–749 (2018)

    work page 2018

  79. [82]

    Serbyn, D

    M. Serbyn, D. A. Abanin, and Z. Papi´ c, Quantum many- body scars and weak breaking of ergodicity, Nature Physics17, 675–685 (2021)

    work page 2021

  80. [83]

    W. K. Wootters, A Wigner-function formulation of finite- state quantum mechanics, Annals of Physics176, 1 (1987)

    work page 1987

Showing first 80 references.