pith. sign in

arxiv: 2606.21226 · v1 · pith:2ZCX2ZGNnew · submitted 2026-06-19 · 🪐 quant-ph · cond-mat.stat-mech

Synchronization in the quantum regime

Finn Schmolke , Eric Lutz This is my paper

Pith reviewed 2026-06-26 14:30 UTC · model grok-4.3

classification 🪐 quant-ph cond-mat.stat-mech
keywords quantum synchronizationquantum coherencequantum correlationscollective behaviortemporal self-organizationquantum networksnonclassical synchrony
0
0 comments X

The pith

Synchronization occurs in quantum systems, with coherence and correlations providing enhancement mechanisms beyond classical limits.

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

The paper examines whether the spontaneous coordination of dynamics known as synchronization, common in classical nonlinear systems, can also appear in quantum regimes. Linear quantum evolution and quantum noise appear to obstruct such coordination at small scales. Yet the survey compiles theoretical and experimental results showing that synchronization does arise, and that quantum coherence plus quantum correlations can supply distinct enhancement routes. This matters because it opens the possibility of temporal self-organization and collective behavior inside explicitly quantum many-body systems.

Core claim

Synchronization can occur in the quantum regime. Despite the linearity of time evolution and the presence of quantum noise, recent work demonstrates synchronous oscillations, genuinely nonclassical forms of synchrony, and many-body synchronization on quantum networks, where quantum coherence and quantum correlations supply novel mechanisms that may enhance synchronization relative to its classical counterpart.

What carries the argument

Quantum coherence and quantum correlations as mechanisms that enable and potentially enhance synchronization in the presence of quantum noise and linear dynamics.

If this is right

  • Synchronous oscillations can be characterized in quantum systems.
  • Genuinely nonclassical forms of synchrony exist that have no classical analogue.
  • Many-body synchronization can arise on quantum networks.
  • Quantum coherence and correlations can enhance synchronization performance.

Where Pith is reading between the lines

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

  • If quantum-specific mechanisms prove robust, coordinated dynamics could appear in larger-scale quantum devices such as sensor arrays or networked qubits.
  • The same coherence-based routes might influence studies of quantum thermodynamics or open-system dynamics where timing coordination plays a role.

Load-bearing premise

The surveyed body of theoretical and experimental results is representative of the field and the distinction between classical and quantum synchronization mechanisms is both meaningful and experimentally testable.

What would settle it

An experiment on a quantum oscillator or network that exhibits no measurable synchronization under parameter regimes where the corresponding classical model synchronizes, or that shows no measurable difference traceable to coherence or correlations.

Figures

Figures reproduced from arXiv: 2606.21226 by Eric Lutz, Finn Schmolke.

Figure 1
Figure 1. Figure 1: FIG. 1. Semiclassical limit cycles and Wigner distributions of the unique stationary state of the Rayleigh-van der Pol oscillator. [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Entrainment of the quantum limit cycle oscillator, Eq. ( [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Dynamical synchronization. (a) Stable antisynchro [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Synchronization of a quantum van der Pol oscillator [PITH_FULL_IMAGE:figures/full_fig_p008_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Entangled noise-induced synchronization of super [PITH_FULL_IMAGE:figures/full_fig_p009_6.png] view at source ↗
read the original abstract

Can synchronization -- the widespread spontaneous emergence of coordinated dynamics in classical nonlinear systems -- also occur in the quantum regime? This question has recently sparked intense research into collective behavior and temporal self-organization in quantum systems. Typical quantum features such as the linearity of time evolution and the presence of quantum noise seem to hinder the appearance of synchrony at the microscopic level. At the same time, quantum coherence and quantum correlations may provide novel mechanisms for enhancing synchronization beyond its classical counterpart. We here survey recent theoretical and experimental advances in quantum synchronization, ranging from the characterization of synchronous oscillations and genuinely nonclassical forms of synchrony to many-body synchronization on quantum networks.

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

1 major / 0 minor

Summary. This manuscript is a survey of recent theoretical and experimental advances in quantum synchronization. It claims that synchronization can occur in the quantum regime despite apparent obstacles from linear time evolution and quantum noise, and that quantum coherence and correlations may supply novel mechanisms that enhance synchronization beyond classical limits. The survey addresses characterization of synchronous oscillations, genuinely nonclassical forms of synchrony, and many-body synchronization on quantum networks.

Significance. If the survey accurately and representatively covers the cited literature, it would provide a useful consolidation of an active interdisciplinary area at the intersection of quantum optics, open quantum systems, and nonlinear dynamics. The work could help identify open questions on whether quantum features enable qualitatively new synchronization phenomena.

major comments (1)
  1. [Abstract] Abstract: the central distinction between classical synchronization and 'genuinely nonclassical forms of synchrony' is invoked without an explicit operational criterion (e.g., a nonclassicality witness, Bell-like inequality for phase locking, or classical simulability bound) that the reviewed examples are shown to violate. This distinction is load-bearing for the claim that quantum coherence/correlations provide enhancement mechanisms unavailable classically.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for highlighting the need for greater precision in the abstract regarding the distinction between classical and genuinely nonclassical synchronization. We address this point below.

read point-by-point responses

  1. Referee: [Abstract] Abstract: the central distinction between classical synchronization and 'genuinely nonclassical forms of synchrony' is invoked without an explicit operational criterion (e.g., a nonclassicality witness, Bell-like inequality for phase locking, or classical simulability bound) that the reviewed examples are shown to violate. This distinction is load-bearing for the claim that quantum coherence/correlations provide enhancement mechanisms unavailable classically.

    Authors: We agree that the abstract would benefit from an explicit, albeit brief, operational framing of the distinction to make the central claim immediately accessible. While the survey relies on the operational criteria developed in the cited literature (e.g., witnesses based on phase-space nonclassicality, entanglement-assisted phase locking, or violations of classical simulability bounds), these are not restated in the abstract itself. We will therefore revise the abstract to include a short clarifying clause that defines genuinely nonclassical synchrony in terms of quantum features that cannot be reproduced by classical stochastic models, such as the presence of quantum correlations that enhance synchronization beyond classical limits. A corresponding elaboration will be added to the introduction for completeness. revision: yes

Circularity Check

0 steps flagged

Survey paper with no original derivations or predictions

full rationale

The manuscript is explicitly a survey of existing theoretical and experimental literature on quantum synchronization. It contains no new equations, derivations, fitted parameters, or predictions that could reduce to their own inputs by construction. The abstract and scope description frame the work as a review ranging from characterization of oscillations to many-body effects, without any load-bearing self-citation chains or self-definitional steps. All claims about quantum coherence providing novel mechanisms are presented as summaries of cited prior work rather than as internally derived results.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

As a survey the paper does not introduce new free parameters, axioms, or invented entities; its content rests on the prior literature surveyed rather than on any new postulates.

pith-pipeline@v0.9.1-grok · 5620 in / 1019 out tokens · 18563 ms · 2026-06-26T14:30:39.064055+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

157 extracted references · 6 linked inside Pith

  1. [1]

    Case (i) represents the generic behavior

    or (ii) induce oscillations when there were previously none (if Λk = 0 and Λ (1) k = iλk) [80]. Case (i) represents the generic behavior. This happens when a perturbation weakly breaks a strong symmetry, thereby introducing fi- nite leakage into previously protected subspaces through which dissipation can eventually reach the entire asymp- totic state spa...

    2020

  2. [2]

    A first observation of quantum phase locking to an external signal was made in spin-1 systems in 2020 [133, 144]

    and superconducting qubits [144, 145], to nuclear spins [146] and trapped ions [143, 147, 148]. A first observation of quantum phase locking to an external signal was made in spin-1 systems in 2020 [133, 144]. In one experiment, the system was realized with three hyperfine states of laser-cooled Rb atoms with no initial phase relation [133]. Laser fields ...

    2020

  3. [3]

    Kuramoto, Y.Chemical Oscillations, Waves, and Tur- bulence(Springer, Berlin, 1984)

    1984

  4. [4]

    I.Synchronization in Science and Technol- ogy(ASME Press, New York, 1988)

    Blekman, I. I.Synchronization in Science and Technol- ogy(ASME Press, New York, 1988)

    1988

  5. [5]

    & Postnov, D.Chaotic Synchronization(World Scientific, Singapore, 2002)

    Mosekilde, E., Maistrenko, Y. & Postnov, D.Chaotic Synchronization(World Scientific, Singapore, 2002)

    2002

  6. [6]

    & Kurths, J.Synchroniza- tion: A Universal Concept in Nonlinear Sciences(Cam- bridge University Press, Cambridge, 2003)

    Pikovsky, A., Rosenblum, M. & Kurths, J.Synchroniza- tion: A Universal Concept in Nonlinear Sciences(Cam- bridge University Press, Cambridge, 2003)

    2003

  7. [7]

    H.Sync: How Order Emerges from Chaos in the Universe, Nature, and Daily Life(Hyperion, New York, 2003)

    Strogatz, S. H.Sync: How Order Emerges from Chaos in the Universe, Nature, and Daily Life(Hyperion, New York, 2003)

    2003

  8. [8]

    A., Bonilla, L

    Acebr´ on, J. A., Bonilla, L. L., Vicente, C. J. P., Ri- tort, F. & Spigler, R. The Kuramoto model: A simple paradigm for synchronization phenomena.Rev. Mod. Phys.77, 137–185 (2005)

    2005

  9. [9]

    S., Astakhov, V., Vadivasova, T., Neiman, A

    Anishchenko, V. S., Astakhov, V., Vadivasova, T., Neiman, A. & Schimansky-Geier, L.Nonlinear Dynam- ics of Chaotic and Stochastic Systems(Springer, Berlin, 2007)

    2007

  10. [10]

    V., Kurths, J

    Osipov, G. V., Kurths, J. & Zhou, C.Synchronization in Oscillatory Networks(Springer, Berlin, 2007)

    2007

  11. [11]

    & Sosnovtseva, O.Synchronization: From Simple to Complex(Springer, Berlin, 2009)

    Balanov, A., Janson, N., Postnov, D. & Sosnovtseva, O.Synchronization: From Simple to Complex(Springer, Berlin, 2009)

    2009

  12. [12]

    N., del Genio, C

    Boccaletti, S., Pisarchik, A. N., del Genio, C. I. & Amann, A.Synchronization. From Coupled Systems to Complex Networks(Cambridge University Press, Cam- bridge, 2018)

    2018

  13. [13]

    & Chaudhari, O

    Serpedin, E. & Chaudhari, O. M.Synchronization Wireless Sensor Networks(Cambridge University Press, Cambridge, 2009)

    2009

  14. [14]

    Ling, F.Synchronization in Digital Communica- tion Systems(Cambridge University Press, Cambridge, 2017)

    2017

  15. [15]

    & Lee, J.-R

    Choi, H.-H. & Lee, J.-R. Principles, applications, and challenges of synchronization in nature for future mo- bile communication systems.Mobile Inf. Syst.2017, 8932631 (2017)

    2017

  16. [16]

    R., Strogatz, S

    Liu, C., Weaver, D. R., Strogatz, S. H. & Reppert, S. M. Cellular construction of a circadian clock: period deter- mination in the suprachiasmatic nuclei.Cell91, 855– 860 (1997)

    1997

  17. [17]

    Synchronization of metronomes.Am

    Pantaleone, J. Synchronization of metronomes.Am. J. Phys.70, 992–1000 (2002)

    2002

  18. [18]

    Neiman, A. B. & Russell, D. F. Synchronization of noise- induced bursts in noncoupled sensory neurons.Phys. Rev. Lett.88, 138103 (2002)

    2002

  19. [19]

    Poole, C. P. & Owens, F. J.Introduction to Nanotech- nology(Wiley, New York, 2003)

    2003

  20. [20]

    Nielsen, M. A. & Chuang, I. L.Quantum computation and quantum information(Cambridge University Press, Cambridge, 2010)

    2010

  21. [21]

    & H¨ anggi, P

    Goychuk, I., Casado-Pascual, J., Morillo, M., Lehmann, J. & H¨ anggi, P. Quantum stochastic synchronization. Phys. Rev. Lett.97, 210601 (2006)

    2006

  22. [22]

    Zhirov, O. V. & Shepelyansky, D. L. Quantum synchro- nization.Eur. Phys. J. D38, 375–379 (2006)

    2006

  23. [23]

    Zhirov, O. V. & Shepelyansky, D. L. Synchronization and bistability of a qubit coupled to a driven dissipative oscillator.Phys. Rev. Lett.100, 014101 (2008)

    2008

  24. [24]

    & Hornberger, K

    Arndt, M. & Hornberger, K. Testing the limits of quan- tum mechanical superpositions.Nature Phys.10, 271– 277 (2014)

    2014

  25. [25]

    & Plenio, M

    Streltsov, A., Adesso, G. & Plenio, M. B. Colloquium: Quantum coherence as a resource.Rev. Mod. Phys.89, 041003 (2017)

    2017

  26. [26]

    & Horodecki, K

    Horodecki, R., Horodecki, P., Horodecki, M. & Horodecki, K. Quantum entanglement.Rev. Mod. Phys. 81, 865–942 (2009)

    2009

  27. [27]

    & Ve- dral, V

    Modi, K., Brodutch, A., Cable, H., Paterek, T. & Ve- dral, V. The classical-quantum boundary for correla- tions: discord and related measures.Rev. Mod. Phys. 84, 1655–1707 (2012)

    2012

  28. [28]

    Hillery, M. O. S. M., O’Connell, R. F., Scully, M. O. & Wigner, E. P. Distribution functions in physics: Funda- 11 mentals.Phys. Rep.106, 121–167 (1984)

    1984

  29. [29]

    H.Nonlinear Dynamics and Chaos(CRC Press, Boca Raton, 2024)

    Strogatz, S. H.Nonlinear Dynamics and Chaos(CRC Press, Boca Raton, 2024)

    2024

  30. [30]

    The quantum phase problem: a critical re- view.Phys

    Lynch, R. The quantum phase problem: a critical re- view.Phys. Rep.256, 367–436 (1995)

    1995

  31. [31]

    Lee, T. E. & Sadeghpour, H. R. Quantum synchroniza- tion of quantum van der Pol oscillators with trapped ions.Phys. Rev. Lett.111, 234101 (2013)

    2013

  32. [32]

    & Bruder, C

    Walter, S., Nunnenkamp, A. & Bruder, C. Quan- tum synchronization of a driven self-sustained oscillator. Phys. Rev. Lett.112, 094102 (2014)

    2014

  33. [33]

    Self-oscillation.Phys

    Jenkins, A. Self-oscillation.Phys. Rep.525, 167–222 (2013)

    2013

  34. [34]

    Rayleigh, L. XXXIII. On maintained vibrations.Lon- don Edinburgh Dublin Philos. Mag. & J. Sci.15, 229– 235 (1883)

  35. [35]

    van der Pol Jun., B. VII. Forced oscillations in a circuit with non-linear resistance. (reception with reactive tri- ode).London Edinburgh Dublin Philos. Mag. & J. Sci. 3, 65–80 (1927)

    1927

  36. [36]

    E., Chan, C.-K

    Lee, T. E., Chan, C.-K. & Wang, S. Entanglement tongue and quantum synchronization of disordered os- cillators.Phys. Rev. E89, 022913 (2014)

    2014

  37. [37]

    & Bruder, C

    L¨ orch, N., Amitai, E., Nunnenkamp, A. & Bruder, C. Genuine quantum signatures in synchronization of an- harmonic self-oscillators.Phys. Rev. Lett.117, 073601 (2016)

    2016

  38. [38]

    E., Nunnenkamp, A., Tiwari, R

    L¨ orch, N., Nigg, S. E., Nunnenkamp, A., Tiwari, R. P. & Bruder, C. Quantum synchronization blockade: En- ergy quantization hinders synchronization of identical oscillators.Phys. Rev. Lett.118, 243602 (2017)

    2017

  39. [39]

    Sonar, S.et al.Squeezing enhances quantum synchro- nization.Phys. Rev. Lett.120, 163601 (2018)

    2018

  40. [40]

    & Heimonen, H

    Mok, W.-K., Kwek, L.-C. & Heimonen, H. Synchroniza- tion boost with single-photon dissipation in the deep quantum regime.Phys. Rev. Res.2, 033422 (2020)

    2020

  41. [41]

    Ben Arosh, L., Cross, M. C. & Lifshitz, R. Quantum limit cycles and the Rayleigh and van der Pol oscillators. Phys. Rev. Res.3, 013130 (2021)

    2021

  42. [42]

    & Bruder, C

    Nadolny, T. & Bruder, C. Macroscopic quantum syn- chronization effects.Phys. Rev. Lett.131, 190402 (2023)

    2023

  43. [43]

    Chia, A., Kwek, L. C. & Noh, C. Relaxation oscilla- tions and frequency entrainment in quantum mechanics. Phys. Rev. E102, 042213 (2020)

    2020

  44. [44]

    & Noh, C

    Chia, A., Mok, W.-K., Kwek, L.-C. & Noh, C. Quan- tization of nonlinear non-Hamiltonian systems.Phys. Rev. E112, 054206 (2025)

    2025

  45. [45]

    & Solanki, P

    Kehrer, T., Bruder, C. & Solanki, P. Quantum synchro- nization of twin limit-cycle oscillators.Phys. Rev. Lett. 135, 063601 (2025)

    2025

  46. [46]

    & Petruccione, F.The Theory of Open Quantum Systems(Oxford University Press, Oxford, 2007)

    Breuer, H.-P. & Petruccione, F.The Theory of Open Quantum Systems(Oxford University Press, Oxford, 2007)

    2007

  47. [47]

    & Gregoratti, M.Quantum Trajecto- ries and Measurements in Continuous Time(Springer, Berlin, 2009)

    Barchielli, A. & Gregoratti, M.Quantum Trajecto- ries and Measurements in Continuous Time(Springer, Berlin, 2009)

    2009

  48. [48]

    Wiseman, H. M. & Milburn, G. J.Quantum Measure- ment and Control(Cambridge University Press, Cam- bridge, 2009)

    2009

  49. [49]

    Jacobs, K.Quantum Measurement Theory and its Applications(Cambridge University Press, Cambridge, 2014)

    2014

  50. [50]

    Jordan, A. N. & Siddiqi, I. A.Quantum Mea- surement: Theory and Practice(Cambridge University Press, Cambridge, 2024)

    2024

  51. [51]

    & Hasegawa, Y

    Setoyama, W. & Hasegawa, Y. Lie algebraic quantum phase reduction.Phys. Rev. Lett.132, 093602 (2024)

    2024

  52. [52]

    & Hasegawa, Y

    Setoyama, W. & Hasegawa, Y. Lie-algebraic quantum phase reduction based on heterodyne detection.Phys. Rev. A111, 012202 (2025)

    2025

  53. [53]

    J., Moore, J

    Zhao, Y. J., Moore, J. E., Thingna, J. & W¨ achtler, C. W. Quantum synchronization of perturbed oscillat- ing coherences.arXiv:2510.11601(2025)

    arXiv 2025

  54. [54]

    & Bruder, C

    Nadolny, T. & Bruder, C. Quantum limit cycles and synchronization from a measurement perspective.Phys. Rev. Res.8, 023050 (2026)

    2026

  55. [55]

    & Clerk, A

    Chen, S. & Clerk, A. A. Quantum limit cycles with continuous symmetries from coherent paramet- ric driving: exact solutions and many-body extensions. arXiv:2604.25864(2026)

    Pith/arXiv arXiv 2026

  56. [56]

    & Kim, S

    Hassler, F., Scheer, D., Saquaque, S. & Kim, S. Quan- tum synchronization of fock states.arXiv:2605.30271 (2026)

    Pith/arXiv arXiv 2026

  57. [57]

    & Paaske, J

    Christiansen, H. & Paaske, J. Quantum desynchroniza- tion of limit cycles.arXiv:2605.30302(2026)

    Pith/arXiv arXiv 2026

  58. [58]

    R., Li, W., Genway, S., Lesanovsky, I

    Hush, M. R., Li, W., Genway, S., Lesanovsky, I. & Ar- mour, A. D. Spin correlations as a probe of quantum synchronization in trapped-ion phonon lasers.Phys. Rev. A91, 061401(R) (2015)

    2015

  59. [59]

    & Mar- quardt, F

    Heinrich, G., Ludwig, M., Qian, J., Kubala, B. & Mar- quardt, F. Collective dynamics in optomechanical ar- rays.Phys. Rev. Lett.107, 043603 (2011)

    2011

  60. [60]

    & Marquardt, F

    Ludwig, M. & Marquardt, F. Quantum many-body dy- namics in optomechanical arrays.Phys. Rev. Lett.111, 073603 (2013)

    2013

  61. [61]

    & Marquardt, F

    Weiss, T., Kronwald, A. & Marquardt, F. Noise-induced transitions in optomechanical synchronization.New J. Phys.18, 013043 (2016)

    2016

  62. [62]

    & Bruder, C

    Roulet, A. & Bruder, C. Synchronizing the smallest possible system.Phys. Rev. Lett.121, 053601 (2018)

    2018

  63. [63]

    & Bruder, C

    Roulet, A. & Bruder, C. Quantum synchronization and entanglement generation.Phys. Rev. Lett.121, 063601 (2018)

    2018

  64. [64]

    & Roulet, A

    Koppenh¨ ofer, M. & Roulet, A. Optimal synchronization deep in the quantum regime: Resource and fundamental limit.Phys. Rev. A99, 043804 (2019)

    2019

  65. [65]

    & Bergli, J

    Parra-L´ opez, A. & Bergli, J. Synchronization in two- level quantum systems.Phys. Rev. A101, 062104 (2020)

    2020

  66. [66]

    & Bruder, C

    Kehrer, T., Nadolny, T. & Bruder, C. Quantum syn- chronization through the interference blockade.Phys. Rev. A110, 042203 (2024)

    2024

  67. [67]

    & Nakao, H

    Kato, Y. & Nakao, H. Quantum spin van der pol oscil- lator: Spin-based limit-cycle oscillator exhibiting quan- tum synchronization.Phys. Rev. Res.7, 043133 (2025)

    2025

  68. [68]

    Gilmore, R., Bowden, C. M. & Narducci, L. M. Classical-quantum correspondence for multilevel sys- tems.Phys. Rev. A12, 1019–1031 (1975)

    1975

  69. [69]

    & Serrano- Ensastiga, E

    Chryssomalakos, C., Guzman-Gonzalez, E. & Serrano- Ensastiga, E. Geometry of spin coherent states.J. Phys. A: Math. Theor.51, 165202 (2018)

    2018

  70. [70]

    & Feng, D.-H.Coherent States(Springer, Berlin, 2023)

    Kam, C.-F., Zhang, W.-M. & Feng, D.-H.Coherent States(Springer, Berlin, 2023)

    2023

  71. [71]

    Phase reduction approach to synchronisation of nonlinear oscillators.Contemp

    Nakao, H. Phase reduction approach to synchronisation of nonlinear oscillators.Contemp. Phys.57, 188–214 (2016)

    2016

  72. [72]

    & Bruder, C

    Walter, S., Nunnenkamp, A. & Bruder, C. Quantum 12 synchronization of two van der Pol oscillators.Ann. Phys.527, 131–138 (2015)

    2015

  73. [73]

    Davis-Tilley, C., Teoh, C. K. & Armour, A. D. Dy- namics of many-body quantum synchronisation.New J. Phys.20, 113002 (2018)

    2018

  74. [74]

    P., Roosen, D., Hofstetter, W

    Orth, P. P., Roosen, D., Hofstetter, W. & Le Hur, K. Dynamics, synchronization, and quantum phase transi- tions of two dissipative spins.Phys. Rev. B82, 144423 (2010)

    2010

  75. [75]

    L., Galve, F., Manzano, G., Colet, P

    Giorgi, G. L., Galve, F., Manzano, G., Colet, P. & Zam- brini, R. Quantum correlations and mutual synchroniza- tion.Phys. Rev. A85, 052101 (2012)

    2012

  76. [76]

    L., Plastina, F., Francica, G

    Giorgi, G. L., Plastina, F., Francica, G. & Zambrini, R. Spontaneous synchronization and quantum correlation dynamics of open spin systems.Phys. Rev. A88, 042115 (2013)

    2013

  77. [77]

    & Zambrini, R.Quan- tum Correlations and Synchronization Measures, 393– 420 (Springer, Berlin, 2017)

    Galve, F., Luca Giorgi, G. & Zambrini, R.Quan- tum Correlations and Synchronization Measures, 393– 420 (Springer, Berlin, 2017)

    2017

  78. [78]

    L., Palma, G

    Bellomo, B., Giorgi, G. L., Palma, G. M. & Zambrini, R. Quantum synchronization as a local signature of super- and subradiance.Phys. Rev. A95, 043807 (2017)

    2017

  79. [79]

    & C ¸ akmak, B

    Karpat, G., Yal¸ cı nkaya, I. & C ¸ akmak, B. Quantum synchronization in a collision model.Phys. Rev. A100, 012133 (2019)

    2019

  80. [80]

    L., Galve, F

    Cabot, A., Giorgi, G. L., Galve, F. & Zambrini, R. Quantum synchronization in dimer atomic lattices. Phys. Rev. Lett.123, 023604 (2019)

    2019

Showing first 80 references.