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On the Kubo-Martin-Schwinger Boundary Condition (Nonlinear Nonequilibrium Statistical Mechanics--Proceedings of the 1978 Oji Seminar at Kyoto,July 10～14,1978)

Huzihiro Araki

Supplement of the Progress of theoretical physicsApr 1, 19790 citations

Non-Equilibrium Phase Transitions in Cooperative Atomic Systems

Daniel F. Walls, P. D. Drummond, Saad S. M. Hassan +1 more

We consider N two level atoms driven far from equilibrium by a coherent driving field. The atoms may decay by a cooperative (J2 preserving) mechanism or a non-cooperative (J2 non-conserving) mechanism where J is the atomic pseudo angular momentum. We adopt a mean field theory to study the J2 non-conserving interaction. This indicates that the system displays a first order phase transition in several observables, e.g., mean field, spectrum and photon statistics. The two stable branches of the hysteresis curve are shown to be regions of cooperative and non-cooperative behaviour respectively. In the case of cooperative atomic decays we find a solution to the Fokker-Planck equation in the atomic coherent state representation. This predicts a second order phase transition in atomic observables—a cooperative fluorescent critical point.We consider N two level atoms driven far from equilibrium by a coherent driving field. The atoms may decay by a cooperative (J2 preserving) mechanism or a non-cooperative (J2 non-conserving) mechanism where J is the atomic pseudo angular momentum. We adopt a mean field theory to study the J2 non-conserving interaction. This indicates that the system displays a first order phase transition in several observables, e.g., mean field, spectrum and photon statistics. The two stable branches of the hysteresis curve are shown to be regions of cooperative and non-cooperative behaviour respectively. In the case of cooperative atomic decays we find a solution to the Fokker-Planck equation in the atomic coherent state representation. This predicts a second order phase transition in atomic observables—a cooperative fluorescent critical point.

Progress of Theoretical Physics SupplementJan 1, 197887 citations

Equilibrium and Nonequilibrium Aspects of Phase Transitions in Quantum Physics Foreword

Martin Bodo Plenio

Jan 1, 20180 citations

Equilibrium and Nonequilibrium Aspects of Phase Transitions in Quantum Physics

Ricardo Puebla

Springer thesesJan 1, 20184 citations

New trends in nonequilibrium statistical mechanics: classical and quantum systems

Bernardo Spagnolo, Alexander A. Dubkov, Davide Valenti

Abstract The main aim of this special issue is to report recent advances and new trends in nonequilibrium statistical mechanics of classical and quantum systems, from both theoretical and experimental points of view, within an interdisciplinary context. In particular, the nonlinear relaxation processes in the dynamics of out-of-equilibrium systems and the role of the metastability and environmental noise will be overviewed. Three main areas of nonequilibrium statistical mechanics will be covered: slow relaxation phenomena and dissipative dynamics; long-range interactions and classical systems; quantum systems. New trends such as quantum thermodynamics and novel types of quantum phase transitions occurring in nonequilibrium steady states and topological phase transitions will be also highlighted.Abstract The main aim of this special issue is to report recent advances and new trends in nonequilibrium statistical mechanics of classical and quantum systems, from both theoretical and experimental points of view, within an interdisciplinary context. In particular, the nonlinear relaxation processes in the dynamics of out-of-equilibrium systems and the role of the metastability and environmental noise will be overviewed. Three main areas of nonequilibrium statistical mechanics will be covered: slow relaxation phenomena and dissipative dynamics; long-range interactions and classical systems; quantum systems. New trends such as quantum thermodynamics and novel types of quantum phase transitions occurring in nonequilibrium steady states and topological phase transitions will be also highlighted.

Journal of Statistical Mechanics Theory and ExperimentSep 1, 20203 citations

Physics of strongly correlated electron systems : proceedings of the Yukawa International Seminar 2004 : (YKIS 2004) : Yukawa Institute for Theoretical Physics, Kyoto University, November 1-19, 2004

正俊今田, 則雄川上, 弘行斯波 +1 more

Progress of Theoretical Physics eBooksJan 1, 20060 citations

Non-Equilibrium Phase Transitions in Cooperative Atomic Systems (Nonlinear Nonequilibrium Statistical Mechanics--Proceedings of the 1978 Oji Seminar at Kyoto,July 10～14,1978)

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Non-Equilibrium Phase Transitions in Cooperative Atomic Systems (Nonlinear Nonequilibrium Statistical Mechanics--Proceedings of the 1978 Oji Seminar at Kyoto,July 10～14,1978)

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