ESPOSITO, Massimiliano ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
External co-authors :
yes
Language :
English
Title :
Macroscopic theory of multipartite correlations in permutation-invariant open quantum systems
L. Amico, R. Fazio, A. Osterloh, and V. Vedral, Entanglement in many-body systems, Rev. Mod. Phys. 80, 517 (2008) 0034-6861 10.1103/RevModPhys.80.517.
N. Laflorencie, Quantum entanglement in condensed matter systems, Phys. Rep. 646, 1 (2016) 0370-1573 10.1016/j.physrep.2016.06.008.
G. De Chiara and A. Sanpera, Genuine quantum correlations in quantum many-body systems: A review of recent progress, Rep. Prog. Phys. 81, 074002 (2018) 0034-4885 10.1088/1361-6633/aabf61.
D. A. Abanin, E. Altman, I. Bloch, and M. Serbyn, Colloquium: Many-body localization, thermalization, and entanglement, Rev. Mod. Phys. 91, 021001 (2019) 0034-6861 10.1103/RevModPhys.91.021001.
M. M. Wolf, F. Verstraete, M. B. Hastings, and J. I. Cirac, Area laws in quantum systems: Mutual information and correlations, Phys. Rev. Lett. 100, 070502 (2008) 0031-9007 10.1103/PhysRevLett.100.070502.
M. J. Gullans and D. A. Huse, Entanglement structure of current-driven diffusive fermion systems, Phys. Rev. X 9, 021007 (2019) 2160-3308 10.1103/PhysRevX.9.021007.
A. Panda and S. Banerjee, Entanglement in nonequilibrium steady states and many-body localization breakdown in a current-driven system, Phys. Rev. B 101, 184201 (2020) 2469-9950 10.1103/PhysRevB.101.184201.
A. D'Abbruzzo, V. Alba, and D. Rossini, Logarithmic entanglement scaling in dissipative free-fermion systems, Phys. Rev. B 106, 235149 (2022) 2469-9950 10.1103/PhysRevB.106.235149.
F. Caceffo and V. Alba, Entanglement negativity in a fermionic chain with dissipative defects: Exact results, J. Stat. Mech. (2023) 023102 1742-5468 10.1088/1742-5468/acb429.
S. Fraenkel and M. Goldstein, Extensive long-range entanglement in a nonequilibrium steady state, SciPost Phys. 15, 134 (2023) 2542-4653 10.21468/SciPostPhys.15.4.134.
S. Fraenkel and M. Goldstein, Exact asymptotics of long-range quantum correlations in a non-equilibrium steady state, J. Stat. Mech. (2024) 033107 1742-5468 10.1088/1742-5468/ad2924.
M. S. Sarandy, Classical correlation and quantum discord in critical systems, Phys. Rev. A 80, 022108 (2009) 1050-2947 10.1103/PhysRevA.80.022108.
J. Maziero, H. C. Guzman, L. C. Céleri, M. S. Sarandy, and R. M. Serra, Quantum and classical thermal correlations in the (Equation presented) spin-(Equation presented) chain, Phys. Rev. A 82, 012106 (2010) 1050-2947 10.1103/PhysRevA.82.012106.
J. Wilms, J. Vidal, F. Verstraete, and S. Dusuel, Finite-temperature mutual information in a simple phase transition, J. Stat. Mech. (2012) P01023 1742-5468 10.1088/1742-5468/2012/01/P01023.
R. Mattes, I. Lesanovsky, and F. Carollo, Entangled time-crystal phase in an open quantum light-matter system, Phys. Rev. A 108, 062216 (2023) 2469-9926 10.1103/PhysRevA.108.062216.
C. Zhou and J. Kurths, Noise-induced phase synchronization and synchronization transitions in chaotic oscillators, Phys. Rev. Lett. 88, 230602 (2002) 0031-9007 10.1103/PhysRevLett.88.230602.
S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladares, and C. S. Zhou, The synchronization of chaotic systems, Phys. Rep. 366, 1 (2002) 0370-1573 10.1016/S0370-1573(02)00137-0.
G. L. Giorgi, F. Galve, G. Manzano, P. Colet, and R. Zambrini, Quantum correlations and mutual synchronization, Phys. Rev. A 85, 052101 (2012) 1050-2947 10.1103/PhysRevA.85.052101.
G. Manzano, F. Galve, G. L. Giorgi, E. Hernández-García, and R. Zambrini, Synchronization, quantum correlations and entanglement in oscillator networks, Sci. Rep. 3, 1439 (2013) 2045-2322 10.1038/srep01439.
G. L. Giorgi, F. Plastina, G. Francica, and R. Zambrini, Spontaneous synchronization and quantum correlation dynamics of open spin systems, Phys. Rev. A 88, 042115 (2013) 1050-2947 10.1103/PhysRevA.88.042115.
V. Ameri, M. Eghbali-Arani, A. Mari, A. Farace, F. Kheirandish, V. Giovannetti, and R. Fazio, Mutual information as an order parameter for quantum synchronization, Phys. Rev. A 91, 012301 (2015) 1050-2947 10.1103/PhysRevA.91.012301.
B. Zhu, J. Schachenmayer, M. Xu, F. Herrera, J. G. Restrepo, M. J. Holland, and A. M. Rey, Synchronization of interacting quantum dipoles, New J. Phys. 17, 083063 (2015) 1367-2630 10.1088/1367-2630/17/8/083063.
V. M. Bastidas, I. Omelchenko, A. Zakharova, E. Schöll, and T. Brandes, Quantum signatures of chimera states, Phys. Rev. E 92, 062924 (2015) 1539-3755 10.1103/PhysRevE.92.062924.
C. Benedetti, F. Galve, A. Mandarino, M. G. A. Paris, and R. Zambrini, Minimal model for spontaneous quantum synchronization, Phys. Rev. A 94, 052118 (2016) 2469-9926 10.1103/PhysRevA.94.052118.
C. Davis-Tilley and A. D. Armour, Synchronization of micromasers, Phys. Rev. A 94, 063819 (2016) 2469-9926 10.1103/PhysRevA.94.063819.
F. Galve, G. L. Giorgi, and R. Zambrini, Quantum correlations and synchronization measures, in Lectures on General Quantum Correlations and their Applications, Quantum Science and Technology, edited by F. F. Fanchini, D. Oliveira Soares Pinto, and G. Adesso (Springer, Cham, 2017), pp. 393-420.
A. Roulet and C. Bruder, Quantum synchronization and entanglement generation, Phys. Rev. Lett. 121, 063601 (2018) 0031-9007 10.1103/PhysRevLett.121.063601.
F. A. Cárdenas-López, M. Sanz, J. C. Retamal, and E. Solano, Enhanced quantum synchronization via quantum machine learning, Adv. Quantum Technol. 2, 1800076 (2019) 2511-9044 10.1002/qute.201800076.
S. Siwiak-Jaszek, T. P. Le, and A. Olaya-Castro, Synchronization phase as an indicator of persistent quantum correlations between subsystems, Phys. Rev. A 102, 032414 (2020) 2469-9926 10.1103/PhysRevA.102.032414.
N. Jaseem, M. Hajdušek, P. Solanki, L.-C. Kwek, R. Fazio, and S. Vinjanampathy, Generalized measure of quantum synchronization, Phys. Rev. Res. 2, 043287 (2020) 2643-1564 10.1103/PhysRevResearch.2.043287.
A. Ghosh, S. A. Pawar, and R. I. Sujith, Anticipating synchrony in dynamical systems using information theory, Chaos 32, 031103 (2022) 1054-1500 10.1063/5.0079255.
A. Ghosh, Early detection of synchrony in coupled oscillator model, Eur. Phys. J. Plus 137, 897 (2022) 2190-5444 10.1140/epjp/s13360-022-03122-7.
Y. Shen, H. Y. Soh, L.-C. Kwek, and W. Fan, Fisher information as general metrics of quantum synchronization, Entropy 25, 1116 (2023) 1099-4300 10.3390/e25081116.
M. Kumar and B. K. Agarwalla, Understanding synchronization between quantum self-sustained oscillators through coherence generation, arXiv:2506.01703.
B. Lücke, J. Peise, G. Vitagliano, J. Arlt, L. Santos, G. Tóth, and C. Klempt, Detecting multiparticle entanglement of Dicke states, Phys. Rev. Lett. 112, 155304 (2014) 0031-9007 10.1103/PhysRevLett.112.155304.
D. Girolami, T. Tufarelli, and C. E. Susa, Quantifying genuine multipartite correlations and their pattern complexity, Phys. Rev. Lett. 119, 140505 (2017) 0031-9007 10.1103/PhysRevLett.119.140505.
S. Calegari, A. C. Lourenço, G. T. Landi, and E. I. Duzzioni, Genuine multipartite correlations in Dicke superradiance, Phys. Rev. A 101, 052310 (2020) 2469-9926 10.1103/PhysRevA.101.052310.
A. C. Lourenço, S. Calegari, T. O. Maciel, T. Debarba, G. T. Landi, and E. I. Duzzioni, Genuine multipartite correlations distribution in the criticality of the Lipkin-Meshkov-Glick model, Phys. Rev. B 101, 054431 (2020) 2469-9950 10.1103/PhysRevB.101.054431.
A. C. Lourenço, D. R. Candido, and E. I. Duzzioni, Genuine (Equation presented)-partite correlations and entanglement in the ground state of the Dicke model for interacting qubits, Ann. Phys. 482, 170196 (2025) 10.1016/j.aop.2025.170196.
A. Vesperini, M. Cini, and R. Franzosi, Entanglement signature of the superradiant quantum phase transition, Front. Phys. 20, 23303 (2025) 2095-0462 10.15302/frontphys.2025.023303.
A. C. Lourenço, L. F. Prazeres, T. O. Maciel, F. Iemini, and E. I. Duzzioni, Genuine multipartite correlations in a boundary time crystal, Phys. Rev. B 105, 134422 (2022) 2469-9950 10.1103/PhysRevB.105.134422.
G. Passarelli, A. Russomanno, and P. Lucignano, Nonstabilizerness of a boundary time crystal, Phys. Rev. A 111, 062417 (2025) 2469-9926 10.1103/d7tm-9hkp.
J. Goold, C. Gogolin, S. R. Clark, J. Eisert, A. Scardicchio, and A. Silva, Total correlations of the diagonal ensemble herald the many-body localization transition, Phys. Rev. B 92, 180202 (R) (2015) 1098-0121 10.1103/PhysRevB.92.180202.
F. Pietracaprina, C. Gogolin, and J. Goold, Total correlations of the diagonal ensemble as a generic indicator for ergodicity breaking in quantum systems, Phys. Rev. B 95, 125118 (2017) 2469-9950 10.1103/PhysRevB.95.125118.
H. C. Braga, C. C. Rulli, T. R. de Oliveira, and M. S. Sarandy, Maxwell's demons in multipartite quantum correlated systems, Phys. Rev. A 90, 042338 (2014) 1050-2947 10.1103/PhysRevA.90.042338.
T. Yada, N. Yoshioka, and T. Sagawa, Measuring multipartite quantum correlations by thermodynamic work extraction, arXiv:2407.04058.
F. M. Paula, P. C. Obando, and M. S. Sarandy, Non-Markovianity through multipartite correlation measures, Phys. Rev. A 93, 042337 (2016) 2469-9926 10.1103/PhysRevA.93.042337.
V. Cavina, A. Soret, T. Aslyamov, K. Ptaszyński, and M. Esposito, Symmetry shapes thermodynamics of macroscopic quantum systems, Phys. Rev. Lett. 133, 130401 (2024) 0031-9007 10.1103/PhysRevLett.133.130401.
K. Merkel, V. Link, K. Luoma, and W. T. Strunz, Phase space theory for open quantum systems with local and collective dissipative processes, J. Phys. A 54, 035303 (2021) 1751-8113 10.1088/1751-8121/abd155.
R. Alicki and J. Messer, Nonlinear quantum dynamical semigroups for many-body open systems, J. Stat. Mech. (1983) 299 10.1007/BF01012712.
T. E. Lee, S. Gopalakrishnan, and M. D. Lukin, Unconventional magnetism via optical pumping of interacting spin systems, Phys. Rev. Lett. 110, 257204 (2013) 0031-9007 10.1103/PhysRevLett.110.257204.
T. E. Lee, C.-K. Chan, and S. F. Yelin, Dissipative phase transitions: Independent versus collective decay and spin squeezing, Phys. Rev. A 90, 052109 (2014) 1050-2947 10.1103/PhysRevA.90.052109.
F. Benatti, F. Carollo, R. Floreanini, and H. Narnhofer, Non-markovian mesoscopic dissipative dynamics of open quantum spin chains, Phys. Lett. A 380, 381 (2016) 0375-9601 10.1016/j.physleta.2015.10.062.
F. Benatti, F. Carollo, R. Floreanini, and H. Narnhofer, Quantum spin chain dissipative mean-field dynamics, J. Phys. A 51, 325001 (2018) 1751-8113 10.1088/1751-8121/aacbdb.
E. Fiorelli, M. Müller, I. Lesanovsky, and F. Carollo, Mean-field dynamics of open quantum systems with collective operator-valued rates: Validity and application, New J. Phys. 25, 083010 (2023) 1367-2630 10.1088/1367-2630/ace470.
K. Tucker, B. Zhu, R. J. Lewis-Swan, J. Marino, F. Jimenez, J. G. Restrepo, and A. M. Rey, Shattered time: Can a dissipative time crystal survive many-body correlations New J. Phys. 20, 123003 (2018) 1367-2630 10.1088/1367-2630/aaf18b.
V. Zhang, S. Ostermann, O. Rubies-Bigorda, and S. F. Yelin, Emergent limit cycles, chaos, and bistability in driven-dissipative atomic arrays, Phys. Rev. Res. 7, 013144 (2025) 2643-1564 10.1103/PhysRevResearch.7.013144.
K. Ptaszyński and M. Esposito, Dissipation enables robust extensive scaling of multipartite correlations, Phys. Rev. Lett. 135, 057401 (2025) 0031-9007 10.1103/j21x-hrsq.
N. Shammah, S. Ahmed, N. Lambert, S. De Liberato, and F. Nori, Open quantum systems with local and collective incoherent processes: Efficient numerical simulations using permutational invariance, Phys. Rev. A 98, 063815 (2018) 2469-9926 10.1103/PhysRevA.98.063815.
P. Rotondo, M. Marcuzzi, J. P. Garrahan, I. Lesanovsky, and M. Müller, Open quantum generalisation of Hopfield neural networks, J. Phys. A 51, 115301 (2018) 1751-8113 10.1088/1751-8121/aaabcb.
E. Fiorelli, I. Lesanovsky, and M. Müller, Phase diagram of quantum generalized Potts-Hopfield neural networks, New J. Phys. 24, 033012 (2022) 1367-2630 10.1088/1367-2630/ac5490.
E. Fiorelli, Quantum fluctuation dynamics of open quantum systems with collective operator-valued rates, and applications to Hopfield-like networks, J. Phys. A 57, 325003 (2024) 1751-8113 10.1088/1751-8121/ad6363.
R. A. Bertlmann and P. Krammer, Bloch vectors for qudits, J. Phys. A 41, 235303 (2008) 1751-8113 10.1088/1751-8113/41/23/235303.
M. Merkli and G. Berman, Mean-field evolution of open quantum systems: An exactly solvable model, Proc. R. Soc. A 468, 3398 (2012) 1364-5021 10.1098/rspa.2012.0327.
J. Keizer, Thermodynamics at nonequilibrium steady states, J. Chem. Phys. 69, 2609 (1978) 0021-9606 10.1063/1.436908.
M. Dykman, X. Chu, and J. Ross, Stationary probability distribution near stable limit cycles far from Hopf bifurcation points, Phys. Rev. E 48, 1646 (1993) 1063-651X 10.1103/PhysRevE.48.1646.
W. Vance and J. Ross, Fluctuations near limit cycles in chemical reaction systems, J. Chem. Phys. 105, 479 (1996) 0021-9606 10.1063/1.471901.
H. Ge and H. Qian, Landscapes of non-gradient dynamics without detailed balance: Stable limit cycles and multiple attractors, Chaos 22, 023140 (2012) 1054-1500 10.1063/1.4729137.
G. Nicolis and V. Balakrishnan, Comments on the amplification of intrinsic fluctuations by chaotic dynamics, Phys. Rev. A 46, 3569 (1992) 1050-2947 10.1103/PhysRevA.46.3569.
X.-G. Wu and R. Kapral, Internal fluctuations and deterministic chemical chaos, Phys. Rev. Lett. 70, 1940 (1993) 0031-9007 10.1103/PhysRevLett.70.1940.
P. Geysermans and G. Nicolis, Thermodynamic fluctuations and chemical chaos in a well-stirred reactor: A master equation analysis, J. Chem. Phys. 99, 8964 (1993) 0021-9606 10.1063/1.465566.
P. Geysermans and F. Baras, Particle simulation of chemical chaos, J. Chem. Phys. 105, 1402 (1996) 0021-9606 10.1063/1.472032.
P. Gaspard, Stochastic approach to entropy production in chemical chaos, Chaos 30, 113103 (2020) 1054-1500 10.1063/5.0025350.
P. D. Drummond and P. Kinsler, Quantum tunneling and thermal activation in the parametric oscillator, Phys. Rev. A 40, 4813 (1989) 0556-2791 10.1103/PhysRevA.40.4813.
M. I. Dykman, Critical exponents in metastable decay via quantum activation, Phys. Rev. E 75, 011101 (2007) 1539-3755 10.1103/PhysRevE.75.011101.
K. Macieszczak, D. C. Rose, I. Lesanovsky, and J. P. Garrahan, Theory of classical metastability in open quantum systems, Phys. Rev. Res. 3, 033047 (2021) 2643-1564 10.1103/PhysRevResearch.3.033047.
M. J. Kewming, M. T. Mitchison, and G. T. Landi, Diverging current fluctuations in critical Kerr resonators, Phys. Rev. A 106, 033707 (2022) 2469-9926 10.1103/PhysRevA.106.033707.
C.-W. Lee, P. Brookes, K.-S. Park, M. H. Szymańska, and E. Ginossar, Real-time instanton approach to quantum activation, Phys. Rev. A 112, 012216 (2025) 2469-9926 10.1103/5jtm-ht4n.
Y.-X. Xiang, W. Li, Z. Bai, and Y.-Q. Ma, Switching dynamics of metastable open quantum systems, arXiv:2505.05202.
H. Carmichael, Analytical and numerical results for the steady state in cooperative resonance fluorescence, J. Phys. B 13, 3551 (1980) 0022-3700 10.1088/0022-3700/13/18/009.
S. Watanabe, Information theoretical analysis of multivariate correlation, IBM J. Res. Develop. 4, 66 (1960) 0018-8646 10.1147/rd.41.0066.
R. Alicki, S. Rudnicki, and S. Sadowski, Symmetry properties of product states for the system of (Equation presented)-level atoms, J. Math. Phys. 29, 1158 (1988) 0022-2488 10.1063/1.527958.
A. Bermudez, T. Schaetz, and M. B. Plenio, Dissipation-assisted quantum information processing with trapped ions, Phys. Rev. Lett. 110, 110502 (2013) 0031-9007 10.1103/PhysRevLett.110.110502.
A. Shankar, J. Cooper, J. G. Bohnet, J. J. Bollinger, and M. Holland, Steady-state spin synchronization through the collective motion of trapped ions, Phys. Rev. A 95, 033423 (2017) 2469-9926 10.1103/PhysRevA.95.033423.
M. A. Norcia, R. J. Lewis-Swan, J. R. Cline, B. Zhu, A. M. Rey, and J. K. Thompson, Cavity-mediated collective spin-exchange interactions in a strontium superradiant laser, Science 361, 259 (2018) 0036-8075 10.1126/science.aar3102.
J. A. Muniz, D. Barberena, R. J. Lewis-Swan, D. J. Young, J. R. Cline, A. M. Rey, and J. K. Thompson, Exploring dynamical phase transitions with cold atoms in an optical cavity, Nature (London) 580, 602 (2020) 0028-0836 10.1038/s41586-020-2224-x.
D. Meiser, J. Ye, D. R. Carlson, and M. J. Holland, Prospects for a millihertz-linewidth laser, Phys. Rev. Lett. 102, 163601 (2009) 0031-9007 10.1103/PhysRevLett.102.163601.
G. Falasco and M. Esposito, Macroscopic stochastic thermodynamics, Rev. Mod. Phys. 97, 015002 (2025) 0034-6861 10.1103/RevModPhys.97.015002.
H. Watanabe and M. Oshikawa, Absence of quantum time crystals, Phys. Rev. Lett. 114, 251603 (2015) 0031-9007 10.1103/PhysRevLett.114.251603.
R. H. Dicke, Coherence in spontaneous radiation processes, Phys. Rev. 93, 99 (1954) 0031-899X 10.1103/PhysRev.93.99.
Y. Huang, T. Li, and Z.-q. Yin, Symmetry-breaking dynamics of the finite-size Lipkin-Meshkov-Glick model near ground state, Phys. Rev. A 97, 012115 (2018) 2469-9926 10.1103/PhysRevA.97.012115.
J. M. T. Thompson and H. B. Stewart, Nonlinear Dynamics and Chaos (Wiley, New York, 2002).
V. S. Anishchenko, T. E. Vadivasova, and G. I. Strelkova, Deterministic Nonlinear Systems: A Short Course (Springer, Cham, 2014).
J. Guckenheimer and R. F. Williams, Structural stability of Lorenz attractors, Publ. Math. de l'IHÉS 50, 59 (1979) 0073-8301 10.1007/BF02684769.
W. Tucker, The Lorenz attractor exists, C. R. Acad. Sci., Paris, Sér. I, Math. 328, 1197 (1999) 0764-4442 10.1016/S0764-4442(99)80439-X.
S. Gonchenko, A. Kazakov, and D. Turaev, Wild pseudohyperbolic attractor in a four-dimensional Lorenz system, Nonlinearity 34, 2018 (2021) 0951-7715 10.1088/1361-6544/abc794.
E. Karatetskaia, A. Kazakov, K. Safonov, and D. Turaev, Robust chaos in a totally symmetric network of four phase oscillators, Phys. Rev. Lett. 134, 167201 (2025) 0031-9007 10.1103/PhysRevLett.134.167201.
A. Soret, V. Cavina, and M. Esposito, Thermodynamic consistency of quantum master equations, Phys. Rev. A 106, 062209 (2022) 2469-9926 10.1103/PhysRevA.106.062209.
K. Wood, C. Van den Broeck, R. Kawai, and K. Lindenberg, Critical behavior and synchronization of discrete stochastic phase-coupled oscillators, Phys. Rev. E 74, 031113 (2006) 1539-3755 10.1103/PhysRevE.74.031113.
K. Wood, C. Van den Broeck, R. Kawai, and K. Lindenberg, Universality of synchrony: Critical behavior in a discrete model of stochastic phase-coupled oscillators, Phys. Rev. Lett. 96, 145701 (2006) 0031-9007 10.1103/PhysRevLett.96.145701.
K. Wood, C. Van den Broeck, R. Kawai, and K. Lindenberg, Effects of disorder on synchronization of discrete phase-coupled oscillators, Phys. Rev. E 75, 041107 (2007) 1539-3755 10.1103/PhysRevE.75.041107.
K. Wood, C. Van den Broeck, R. Kawai, and K. Lindenberg, Continuous and discontinuous phase transitions and partial synchronization in stochastic three-state oscillators, Phys. Rev. E 76, 041132 (2007) 1539-3755 10.1103/PhysRevE.76.041132.
V. R. Assis, M. Copelli, and R. Dickman, An infinite-period phase transition versus nucleation in a stochastic model of collective oscillations, J. Stat. Mech. (2011) P09023 1742-5468 10.1088/1742-5468/2011/09/P09023.
V. R. Assis and M. Copelli, Collective behavior of coupled nonuniform stochastic oscillators, Physica A 391, 1900 (2012) 0378-4371 10.1016/j.physa.2011.10.012.
D. Escaff, A. Rosas, R. Toral, and K. Lindenberg, Synchronization of coupled noisy oscillators: Coarse graining from continuous to discrete phases, Phys. Rev. E 94, 052219 (2016) 2470-0045 10.1103/PhysRevE.94.052219.
D. J. Jörg, Stochastic Kuramoto oscillators with discrete phase states, Phys. Rev. E 96, 032201 (2017) 2470-0045 10.1103/PhysRevE.96.032201.
D. Zhang, Y. Cao, Q. Ouyang, and Y. Tu, The energy cost and optimal design for synchronization of coupled molecular oscillators, Nat. Phys. 16, 95 (2020) 1745-2473 10.1038/s41567-019-0701-7.
T. Herpich, J. Thingna, and M. Esposito, Collective power: Minimal model for thermodynamics of nonequilibrium phase transitions, Phys. Rev. X 8, 031056 (2018) 2160-3308 10.1103/PhysRevX.8.031056.
T. Herpich and M. Esposito, Universality in driven Potts models, Phys. Rev. E 99, 022135 (2019) 2470-0045 10.1103/PhysRevE.99.022135.
J. Meibohm and M. Esposito, Minimum-dissipation principle for synchronized stochastic oscillators far from equilibrium, Phys. Rev. E 110, L042102 (2024) 2470-0045 10.1103/PhysRevE.110.L042102.
J. Meibohm and M. Esposito, Small-amplitude synchronization in driven Potts models, Phys. Rev. E 110, 044114 (2024) 2470-0045 10.1103/PhysRevE.110.044114.
L. Guislain and E. Bertin, Nonequilibrium phase transition to temporal oscillations in mean-field spin models, Phys. Rev. Lett. 130, 207102 (2023) 0031-9007 10.1103/PhysRevLett.130.207102.
L. Guislain and E. Bertin, Discontinuous phase transition from ferromagnetic to oscillating states in a nonequilibrium mean-field spin model, Phys. Rev. E 109, 034131 (2024) 2470-0045 10.1103/PhysRevE.109.034131.
M. Xu, D. A. Tieri, E. C. Fine, J. K. Thompson, and M. J. Holland, Synchronization of two ensembles of atoms, Phys. Rev. Lett. 113, 154101 (2014) 0031-9007 10.1103/PhysRevLett.113.154101.
T. Nadolny and C. Bruder, Macroscopic quantum synchronization effects, Phys. Rev. Lett. 131, 190402 (2023) 0031-9007 10.1103/PhysRevLett.131.190402.
G. Passarelli, P. Lucignano, R. Fazio, and A. Russomanno, Dissipative time crystals with long-range Lindbladians, Phys. Rev. B 106, 224308 (2022) 2469-9950 10.1103/PhysRevB.106.224308.
R. Mattes, I. Lesanovsky, and F. Carollo, Long-range interacting systems are locally noninteracting, Phys. Rev. Lett. 134, 070402 (2025) 0031-9007 10.1103/PhysRevLett.134.070402.
F. Russo and T. Pohl, Quantum dissipative continuous time crystals, Phys. Rev. Lett. 135, 110404 (2025) 0031-9007 10.1103/dc2s-94gv.
Z. Wang, R. Gao, X. Wu, B. Buča, K. Mølmer, L. You, and F. Yang, Boundary time crystals induced by local dissipation and long-range interactions, arXiv:2503.20761.
E. Y. Song, D. Barberena, D. J. Young, E. Chaparro, A. Chu, S. Agarwal, Z. Niu, J. T. Young, A. M. Rey, and J. K. Thompson, A dissipation-induced superradiant transition in a strontium cavity-QED system, Sci. Adv. 11, eadu5799 (2025) 2375-2548 10.1126/sciadv.adu5799.
K. Ptaszyński, M. Chudak, and M. Esposito, Macroscopic theory of multipartite correlations in permutation-invariant open quantum systems, Zenodo (2025), doi: 10.5281/zenodo.16679907.
M. Chudak, Lmg-mmi-pytorch, gitHub repository (2025), https://github.com/mch-ifm/lmg-mmi-pytorch.
S. Machnes and M. B. Plenio, Surprising interactions of Markovian noise and coherent driving, arXiv:1408.3056.
M. Am-Shallem, A. Levy, I. Schaefer, and R. Kosloff, Three approaches for representing Lindblad dynamics by a matrix-vector notation, arXiv:1510.08634.
R. Uzdin and R. Kosloff, Speed limits in Liouville space for open quantum systems, Europhys. Lett. 115, 40003 (2016) 0295-5075 10.1209/0295-5075/115/40003.
F. Minganti, A. Biella, N. Bartolo, and C. Ciuti, Spectral theory of Liouvillians for dissipative phase transitions, Phys. Rev. A 98, 042118 (2018) 2469-9926 10.1103/PhysRevA.98.042118.
M. R. Hestenes and E. Stiefel, Methods of conjugate gradients for solving linear systems, J. Res. Natl. Bur. Stan. 49, 409 (1952) 0091-0635 10.6028/jres.049.044.
J. R. Shewchuk, An Introduction to the Conjugate Gradient Method Without the Agonizing Pain, Technical Report CMU-CS-94-125 (Carnegie Mellon University, Department of Computer Science, Pittsburgh, PA, 1994).
R. F. Fox and J. E. Keizer, Effect of molecular fluctuations on the description of chaos by macrovariable equations, Phys. Rev. Lett. 64, 249 (1990) 0031-9007 10.1103/PhysRevLett.64.249.
R. F. Fox and J. Keizer, Amplification of intrinsic fluctuations by chaotic dynamics in physical systems, Phys. Rev. A 43, 1709 (1991) 1050-2947 10.1103/PhysRevA.43.1709.
J. Keizer and R. F. Fox, Reply to "Comments on the amplification of intrinsic fluctuations by chaotic dynamics", Phys. Rev. A 46, 3572 (1992) 1050-2947 10.1103/PhysRevA.46.3572.
H. Wang and H. Xin, Intrinsic fluctuations and deterministic chemical chaos, J. Chem. Phys. 107, 6681 (1997) 0021-9606 10.1063/1.474941.
H. Wang and Q. Li, Master equation analysis of deterministic chemical chaos, J. Chem. Phys. 108, 7555 (1998) 0021-9606 10.1063/1.476189.
F. Iemini, A. Russomanno, J. Keeling, M. Schirò, M. Dalmonte, and R. Fazio, Boundary time crystals, Phys. Rev. Lett. 121, 035301 (2018) 0031-9007 10.1103/PhysRevLett.121.035301.