Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Statistical Physics

About the poor decay of certain cross-correlation functions in the statistical mechanics of phase transitions in the static and dynamical regime

Manfred Requardt

Published Sep 1, 1982• 6 citations
Publisher
DOI
10.1007/bf01008252

Related papers

About the non vanishing of boundary terms in correlation functions as origin of phase transitions. A microscopic proof of a Goldstone theorem in classical statistical mechanics

Manfred Requardt

The European Physical Journal B•Jun 1, 1979•10 citations

Dynamical cluster properties in the quantum statistical mechanics of phase transitions

Manfred Requardt

Investigates the influence of spontaneous symmetry breaking on the dynamical cluster properties of correlation functions of a quantum statistical ensemble, that is clustering with respect to time and space-time. While the impact of phase transitions on pure space-like clustering, i.e. the static results, is well known, less seems to be known about the dynamical behaviour of response functions and susceptibilities. Precise statements are made which show that, contrary to the static case, the decay properties depend sensitively on the type of Goldstone excitation.

Journal of Physics A Mathematical and General•May 1, 1980•11 citations

Correlation Functions in the Theory of Phase Transitions: Violation of the Scaling Laws

Alexander Migdal

Journal of Experimental and Theoretical Physics•Jan 1, 1971•0 citations

Temporal hopping dynamics in exciton-polariton condensation

Elena Rozas, Wojciech Bukalski, Yannik Brune +9 more

Polariton condensates provide a versatile platform for exploring non-equilibrium phase transitions and collective phenomena in open quantum systems. Near the condensation threshold, these systems are particularly sensitive to fluctuations and instabilities, yet how these dynamics govern the initial formation of the condensate remains poorly understood. To address this, we directly access the photon statistics and second-order correlation function g (2) (0) of the condensate by using optical trapping and homodyne detection. We show that polariton condensation near the threshold is not a purely static transition, but instead undergoes a dynamical regime characterized by stochastic hopping between condensed and non-condensed states. These intermittent dynamics are accompanied by a gradual reduction of g (2) (0) toward unity, revealing the progressive build-up of coherence even in the presence of strong temporal fluctuations. Numerical simulations, based on a stochastic truncated Wigner description of the driven-dissipative polariton field, reproduce these dynamics and capture the essential role of noise and reservoir interactions. This work demonstrates that the observed temporal hopping is an intrinsic feature of polariton condensation, challenging traditional static descriptions of phase transitions and offering a framework for controlling noise and coherence in driven-dissipative quantum technologies.

Optica•Jul 13, 2026•0 citations

On the evaluation of the correlation functions in quantum statistical physics

D. N. Zubarev, Yu. G. Rudoi

Physics-Uspekhi•Mar 31, 1993•6 citations

Statistical Physics: Statics, Dynamics and Renormalization

Leo P. Kadanoff

Fundamentals of statistical physics: the lectures - a survey one particle and many Gaussian distributions quantum mechanics and lattices. Random dynamics: diffusion and hopping from hops to statistical mechanics correlations and response. More statistical mechanics: statistical thermodynamics Fermi, Bose, and other. Phase transitions: overview of phase transitions mean field theory of critical behaviour continuous phase transitions renormalization in one dimension real space renormalization techniques duality planar model and Coulomb systems XY model, renormalization and duality.

•May 5, 2000•335 citations
Investigates the influence of spontaneous symmetry breaking on the dynamical cluster properties of correlation functions of a quantum statistical ensemble, that is clustering with respect to time and space-time. While the impact of phase transitions on pure space-like clustering, i.e. the static results, is well known, less seems to be known about the dynamical behaviour of response functions and susceptibilities. Precise statements are made which show that, contrary to the static case, the decay properties depend sensitively on the type of Goldstone excitation.
Polariton condensates provide a versatile platform for exploring non-equilibrium phase transitions and collective phenomena in open quantum systems. Near the condensation threshold, these systems are particularly sensitive to fluctuations and instabilities, yet how these dynamics govern the initial formation of the condensate remains poorly understood. To address this, we directly access the photon statistics and second-order correlation function g (2) (0) of the condensate by using optical trapping and homodyne detection. We show that polariton condensation near the threshold is not a purely static transition, but instead undergoes a dynamical regime characterized by stochastic hopping between condensed and non-condensed states. These intermittent dynamics are accompanied by a gradual reduction of g (2) (0) toward unity, revealing the progressive build-up of coherence even in the presence of strong temporal fluctuations. Numerical simulations, based on a stochastic truncated Wigner description of the driven-dissipative polariton field, reproduce these dynamics and capture the essential role of noise and reservoir interactions. This work demonstrates that the observed temporal hopping is an intrinsic feature of polariton condensation, challenging traditional static descriptions of phase transitions and offering a framework for controlling noise and coherence in driven-dissipative quantum technologies.
Fundamentals of statistical physics: the lectures - a survey one particle and many Gaussian distributions quantum mechanics and lattices. Random dynamics: diffusion and hopping from hops to statistical mechanics correlations and response. More statistical mechanics: statistical thermodynamics Fermi, Bose, and other. Phase transitions: overview of phase transitions mean field theory of critical behaviour continuous phase transitions renormalization in one dimension real space renormalization techniques duality planar model and Coulomb systems XY model, renormalization and duality.