Ensemble Inequivalence in Long-Range Quantum Systems
Year: 2024
Authors: Defenu N., Mukamel D., Ruffo S.
Autors Affiliation: Swiss Fed Inst Technol, Inst Theoret Phys, Wolfgang Pauli Str 27, CH-8093 Zurich, Switzerland; Weizmann Inst Sci, Dept Phys Complex Syst, IL-7610001 Rehovot, Israel; SISSA, Via Bonomea 265, I-34136 Trieste, Italy; INFN Sez Trieste, Via Bonomea 265, I-34136 Trieste, Italy; CNR, Ist Sistemi Complessi, Via Madonna Piano 10, I-50019 Sesto Fiorentino, Italy.
Abstract: Ensemble inequivalence, i.e., the possibility of observing different thermodynamic properties depending on the statistical ensemble which describes the system, is one of the hallmarks of long-range physics, which has been demonstrated in numerous classical systems. Here, an example of ensemble inequivalence of a long-range quantum ferromagnet is presented. While the T = 0 microcanonical quantum phase-diagram coincides with that of the canonical ensemble, the phase diagrams of the two ensembles are different at finite temperature. This is in contrast with the common lore of statistical mechanics of systems with shortrange interactions where thermodynamic properties are bound to coincide for macroscopic systems described by different ensembles. The consequences of these findings in the context of atomic, molecular, and optical setups are delineated.
Journal/Review: PHYSICAL REVIEW LETTERS
Volume: 133″ (5) Pages from: 50403-1 to: 50403-8
More Information: Valuable discussions with G. Gori and A. Trombettoni are gratefully acknowledged. Relevant discussions on the experimental feasibility of our research with T. Donner are also acknowledged. This research was funded by the Swiss National Science Foundation (SNSF) Grant No. 200021 207537, by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany ’ s Excellence Strategy EXC2181/1-390900948 (the Heidelberg STRUCTURES Excellence Cluster) , and the Swiss State Secretariat for Education, Research and Innovation (SERI) . This work is part of MUR-PRIN2017 project Coarse -grained description for non-equilibrium systems and transport phenomena (CONEST) No. 201798CZL whose partial financial sup-port is acknowledged. D. M. acknowledges the support of the Center for Scientific Excellence of the Weizmann Institute of Science. This research was supported in part by NSF Grants No. PHY-1748958 and No. PHY-2309135 to the Kavli Institute for Theoretical Physics (KITP) .KeyWords: Body Approximation Methods; Solvable Model; Multibody Interactions; Phase-transition; Validity; GasDOI: 10.1103/PhysRevLett.133.050403Citations: 1data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-10-20References taken from IsiWeb of Knowledge: (subscribers only)