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arxiv: 1907.06886 · v1 · pith:XTFQT6U3new · submitted 2019-07-16 · 🪐 quant-ph

Transient synchronization in open quantum systems

Gian Luca Giorgi , Albert Cabot , Roberta Zambrini This is my paper

Pith reviewed 2026-05-24 21:16 UTC · model grok-4.3

classification 🪐 quant-ph
keywords transient synchronizationopen quantum systemsquantum relaxationharmonic oscillatorsspin networkslocal dissipationglobal dissipationsynchronization measures
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The pith

Transient synchronization emerges in open quantum systems during relaxation when interactions overcome detuning.

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

Open quantum systems can display transient synchronization as they relax toward equilibrium. This occurs when the mutual interaction strength between components such as oscillators or spins exceeds their frequency detuning. The review identifies a common enabling mechanism that works for both local dissipation on individual components and global dissipation on the entire system. It examines this in networks of harmonic oscillators and spins while comparing multiple synchronization measures. A sympathetic reader would care because the finding shows temporary coordination is possible in dissipative quantum settings even if it does not persist at steady state.

Core claim

The phenomenon of spontaneous synchronization arises in a broad range of systems when the mutual interaction strength among components overcomes the effect of detuning. Recently it has been studied also in the quantum regime with a variety of approaches and in different dynamical contexts. We review here transient synchronization arising during the relaxation of open quantum systems, describing the common enabling mechanism in presence of either local or global dissipation. We address both networks of harmonic oscillators and spins and compare different synchronization measures.

What carries the argument

The common enabling mechanism in which mutual interaction strength overcomes detuning to produce transient synchronization during relaxation under either local or global dissipation.

If this is right

  • Transient synchronization appears in networks of harmonic oscillators during relaxation.
  • The same transient synchronization appears in networks of spins.
  • The enabling mechanism operates for both local and global forms of dissipation.
  • Different synchronization measures can be compared to identify and quantify the transient effect.

Where Pith is reading between the lines

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

  • The mechanism could be used to detect effective interactions in open quantum systems through temporary correlation peaks before full decoherence.
  • Similar transient effects might be observable in other platforms such as trapped ions or superconducting circuits under comparable conditions.
  • The distinction between transient and steady-state synchronization may guide experiments that seek short-lived quantum coordination rather than persistent order.

Load-bearing premise

The premise that mutual interaction strength among components overcomes the effect of detuning is sufficient to produce observable transient synchronization across the reviewed systems and measures.

What would settle it

In a pair of coupled quantum harmonic oscillators with calculated interaction stronger than detuning, the absence of a transient peak in any synchronization measure during relaxation under local damping would falsify the claimed common mechanism.

Figures

Figures reproduced from arXiv: 1907.06886 by Albert Cabot, Gian Luca Giorgi, Roberta Zambrini.

Figure 1
Figure 1. Figure 1: In red hx 2 1(t)i, in blue hx 2 2(t)i for SB (left panel) and CB (right panel), with ω2/ω1 = 1.2, λ/ω2 1 = 1.3, γ/ω1 = 0.05 and T /ω1 = 10. The initial condition is a separable vacuum state with r1 = 2.5 and r2 = 1.8. In the insets we plot the synchronization measure: Chx2 1 i,hx2 2 i (ω1t|ω1∆t = 20). The linearity of the dynamics, coming from the fact that the Hamiltonian is quadratic, implies that if the… view at source ↗
Figure 2
Figure 2. Figure 2: In color |Chx2 1 i,hx2 2 i | at ω1t = 70 and for a time window ω1∆t = 20. Here we vary the coupling strength λ/ω2 1 and frequency ω2/ω1. The initial condition is a separable vacuum state with r1 = 2 and r2 = 1. We fix T /ω1 = 10 and γ/ω1 = 0.05. 4.2 From transient to stationary synchronization Beyond transient SS, when considering more than two detunded oscillators, in the CB case it can happen that one or… view at source ↗
Figure 3
Figure 3. Figure 3: Example of stationary synchronous state. In red [PITH_FULL_IMAGE:figures/full_fig_p011_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: In red hσ x 1 (t)i, in blue hσ x 2 (t)i for two different choices of parameters. Left: ω2 = 0.7 ω1; right: ω2 = 0.99 ω1. 4.4 The role of decoherence in transient synchronization The previous discussion indicates that the separation of time scales induces syn￾chronous dynamics. In all the examples, we have assumed a dissipative mecha￾nism bringing the density matrix to its equilibrium steady-state. Actually… view at source ↗
read the original abstract

The phenomenon of spontaneous synchronization arises in a broad range of systems when the mutual interaction strength among components overcomes the effect of detuning. Recently it has been studied also in the quantum regime with a variety of approaches and in different dynamical contexts. We review here transient synchronization arising during the relaxation of open quantum systems, describing the common enabling mechanism in presence of either local or global dissipation. We address both networks of harmonic oscillators and spins and compare different synchronization measures.

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

0 major / 0 minor

Summary. The manuscript is a review of transient synchronization arising during the relaxation of open quantum systems. It collects examples from networks of harmonic oscillators and spins under local or global dissipation, identifies the common enabling condition that interaction strength overcomes detuning, and compares different synchronization measures across the surveyed cases.

Significance. If the synthesis is accurate, the review provides a unified descriptive framework for transient synchronization in dissipative quantum systems by showing that the same interaction-versus-detuning condition appears across distinct models and dissipation types. This could serve as a reference point for future work on quantum coherence and synchronization without introducing new theorems or predictions.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their careful reading and positive evaluation of our manuscript. We are pleased that the review is seen as providing a useful unified descriptive framework for transient synchronization across different models and dissipation types, and we appreciate the recommendation for acceptance.

Circularity Check

0 steps flagged

No significant circularity

full rationale

This is a review paper that collects and compares examples of transient synchronization from prior literature on open quantum systems (harmonic oscillators and spins under local/global dissipation). No new derivations, predictions, fitted parameters, or theorems are advanced whose steps could reduce to the paper's own inputs by construction. The enabling condition (interaction overcoming detuning) is presented descriptively across surveyed cases and measures, with no self-definitional equations, fitted-input predictions, or load-bearing self-citation chains. The work is self-contained as a synthesis and receives the default non-circularity finding.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

This is a review paper; no new free parameters, axioms, or invented entities are introduced by the authors. All content summarizes prior work on open quantum systems.

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Works this paper leans on

48 extracted references · 48 canonical work pages · 1 internal anchor

  1. [1]

    Pikovsky, M

    A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge edition, 2001)

    work page 2001

  2. [2]

    S. H. Strogatz, Nonlinear Dynamics and Chaos: With Applications to Physics, Bi- ology, Chemistry, and Engineering (Westview p edition, 2001)

    work page 2001

  3. [3]

    Arenas, A

    A. Arenas, A. Diaz-Guilera, J. Kurths, Y. Moreno, and C. Zhou, Phys. Rep. 469, 93 (2008)

    work page 2008

  4. [4]

    Manrubia, A

    S. Manrubia, A. S. Mikhailov, and D. H. Zanette, Emergence of Dynamical Or- der. Synchronization Phenomena in Complex Systems (World Scientific, Singapore, 2004)

    work page 2004

  5. [5]

    Rohden, A

    M. Rohden, A. Sorge, M. Timme, and D. Witthaut, Phys. Rev. Lett. 109, 064101 (2012)

    work page 2012

  6. [6]

    Galve, G L

    F. Galve, G L. Giorgi, and R. Zambrini, in Lectures on General Quantum Cor- relations and their Applications (Eds.: F. Fanchini, D. Soares Pinto, G. Adesso), (Springer, Cham, CH , pp. 393-420, 2017)

    work page 2017

  7. [7]

    Argyris, D

    A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garc´ ıa- Ojalvo, C. R. Mirasso, L. Pesquera, and K. Shore. Nature, 438, 343 (2005)

    work page 2005

  8. [8]

    P. P. Orth, D. Roosen, W. Hofstetter, and K. Le Hur, Phys. Rev. B 82, 144423 (2010)

    work page 2010

  9. [9]

    G. L. Giorgi, F. Galve, G. Manzano, P. Colet, and R. Zambrini, Phys. Rev. A 85, 052101 (2012)

    work page 2012

  10. [10]

    Benedetti, F

    C. Benedetti, F. Galve, A. Mandarino, M. G. A. Paris, and R. Zambrini, Phys. Rev. A 94, 052118 (2013)

    work page 2013

  11. [11]

    Manzano, F

    G. Manzano, F. Galve, and R. Zambrini, Phys. Rev. A 87, 032114 (2013)

    work page 2013

  12. [12]

    G. L. Giorgi, F. Plastina, G. Francica, and R. Zambrini, Phys. Rev. A 88, 042115 (2013)

    work page 2013

  13. [13]

    Manzano, F

    G. Manzano, F. Galve, G. L. Giorgi, E. Hernandez-Garc´ ıa, and R. Zambrini, Sci. Rep. 3, 1439 (2013)

    work page 2013

  14. [14]

    G. L. Giorgi, F. Galve, and R. Zambrini, Phys. Rev. A 94, 052121 (2016)

    work page 2016

  15. [15]

    Bellomo, G

    B. Bellomo, G. L. Giorgi, G. M. Palma, and R. Zambrini, Phys. Rev. A 95, 043807 (2017)

    work page 2017

  16. [16]

    Garau Estarellas, G

    G. Garau Estarellas, G. L. Giorgi, M. C. Soriano, and R. Zambrini, Adv. Quantum Tech., 1800085 (2019)

    work page 2019

  17. [17]

    Cabot, F

    A. Cabot, F. Galve, V. M. Egu´ ıluz, K. Klemm, S. Maniscalco, and R. Zambrini, npj Quantum Inf. 4, 57 (2018)

    work page 2018

  18. [18]

    Siwiak-Jaszek and A

    S. Siwiak-Jaszek and A. Olaya-Castro, Faraday Discuss., Accepted Manuscript (2019)

    work page 2019

  19. [19]

    Eneriz, D

    H. Eneriz, D. Z. Rossatto, M. Sanz, E. Solano, arXiv:1705.04614

    work page arXiv

  20. [20]

    F. A. C´ ardenas-L´ opez, M. Sanz, J. C. Retamal, E. Solano, Adv. Quantum Technol. 1800076 (2019)

    work page 2019

  21. [21]

    Militello, D

    B. Militello, D. Chru´ sci´ nski, and A. Napoli, Phys. Scr.93, 025201 (2018)

    work page 2018

  22. [22]

    Militello, H

    B. Militello, H. Nakazato, A. Napoli, Phys. Rev. A 96, 023862 (2017)

    work page 2017

  23. [23]

    Karpat, ˙I

    G. Karpat, ˙I. Yal¸ cinkaya, and B. C ¸ akmak arXiv:1903.05545

    work page arXiv 1903

  24. [24]

    Cabot, G

    A. Cabot, G. L. Giorgi, F. Galve, and R. Zambrini, Phys. Rev. Lett. 123, 023604 (2019)

    work page 2019

  25. [25]

    Cabot, F

    A. Cabot, F. Galve, and R. Zambrini, New J. Phys. 19, 113007 (2017)

    work page 2017

  26. [26]

    Zhou and J

    C. Zhou and J. Kurths, Phys. Rev. Lett. 88, 230602 (2002)

    work page 2002

  27. [27]

    Toral, C

    R. Toral, C. R. Mirasso, Emilio Hern´ andez-Garc´ ıa, and O. Piro, Chaos 11, 665 (2001). Transient synchronization in open quantum systems 17

    work page 2001

  28. [28]

    Gammaitoni, P

    L. Gammaitoni, P. H¨ anggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998)

    work page 1998

  29. [29]

    Grifoni and P

    M. Grifoni and P. H¨ anggi, Phys. Rev. Lett. 76, 1611 (1996)

    work page 1996

  30. [30]

    H. P. Breuer and F. Petruccione The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2003)

    work page 2003

  31. [31]

    J. D. Cresser, J. Mod. Opt., 39, 2187 (1992)

    work page 1992

  32. [32]

    Scala, B

    M. Scala, B. Militello, A. Messina, J. Piilo, and Sabrina Maniscalco, Phys. Rev. A, 75, 013811, (2007)

    work page 2007

  33. [33]

    Scala, B

    M. Scala, B. Militello, A. Messina, S. Maniscalco, J. Piilo, and K-A Suominen, J. Phys. A Math. Theor. 40 14527 (2007)

    work page 2007

  34. [34]

    Migliore, M

    R. Migliore, M. Scala, A. Napoli, K. Yuasa, H. Nakazato, and A. Messina, J. Phys. B At. Mol. Opt. Phys., 44, 075503 (2011)

    work page 2011

  35. [35]

    M. J. Henrich, M. Michel, M. Hartmann, G. Mahler, and J. Gemmer, Phys. Rev. E, 72, 026104, (2005)

    work page 2005

  36. [36]

    Wichterich, M

    H. Wichterich, M. J. Henrich, H.-P. Breuer, J. Gemmer, and M. Michel, Phys. Rev. E, 76, 031115 (2007)

    work page 2007

  37. [37]

    A. S. Trushechkin and I. V. Volovich, EPL 113, 30005 (2016)

    work page 2016

  38. [38]

    Onam Gonz´ alez, L

    J. Onam Gonz´ alez, L. A. Correa, G. Nocerino, J. P. Palao, D. Alonso, and G. Adesso, Open Syst. Inf. Dyn., 24, 1740010 (2017)

    work page 2017

  39. [39]

    P. P. Hofer, M. Perarnau-Llobet, L. D. M. Miranda, G. Haack, R. Silva, J. Bohr Brask, and N. Brunner. New J. Phys. 19, 123037 (2017)

    work page 2017

  40. [40]

    Cattaneo, G

    M. Cattaneo, G. L. Giorgi, S. Maniscalco, and R. Zambrini, arXiv:1906.08893

    work page arXiv 1906

  41. [41]

    Ameri, M

    V. Ameri, M. Eghbali-Arani, A. Mari, A. Farace, F. Kheirandish, V. Giovannetti, and R. Fazio, Phys. Rev. A 91, 012301 (2015)

    work page 2015

  42. [42]

    E. Lieb, T. Schultz, and D. Mattis, Ann. Phys. 16, 407-466 (1961)

    work page 1961

  43. [43]

    Coarse-graining in the derivation of Markovian master equations and its significance in quantum thermodynamics

    J.D. Cresser and C. Facer, arXiv:1710.09939

    work page internal anchor Pith review Pith/arXiv arXiv

  44. [44]

    Farina and V

    D. Farina and V. Giovannetti, Phys. Rev. A 100, 012107 (2019)

    work page 2019

  45. [45]

    H. J. Carmichael, Statistical Methods in Quantum Optics 1: Master Equations and Fokker-Planck Equations (Theoretical and Mathematical Physics) (Springer, Berlin,

    work page

  46. [46]

    L¨ orch, S

    N. L¨ orch, S. E. Nigg, A. Nunnenkamp, R. P. Tiwari, and C. Bruder, Phys. Rev. Lett. 118, 243602 (2017)

    work page 2017

  47. [47]

    M. A. Nielsen and I. L. Chuang, Q uantum Computation and Quantum Information (2nd ed.) (Cambridge: Cambridge University Press, 2010)

    work page 2010

  48. [48]

    Gross and S

    M. Gross and S. Haroche, Phys. Rep. 93, 301 (1982)

    work page 1982