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Physical review letters, 2015-09, Vol.115 (10), p.100402-100402, Article 100402
2015

Details

Autor(en) / Beteiligte
Titel
Thermal Equilibrium of a Macroscopic Quantum System in a Pure State
Ist Teil von
  • Physical review letters, 2015-09, Vol.115 (10), p.100402-100402, Article 100402
Ort / Verlag
United States
Erscheinungsjahr
2015
Link zum Volltext
Quelle
PROLA
Beschreibungen/Notizen
  • We consider the notion of thermal equilibrium for an individual closed macroscopic quantum system in a pure state, i.e., described by a wave function. The macroscopic properties in thermal equilibrium of such a system, determined by its wave function, must be the same as those obtained from thermodynamics, e.g., spatial uniformity of temperature and chemical potential. When this is true we say that the system is in macroscopic thermal equilibrium (MATE). Such a system may, however, not be in microscopic thermal equilibrium (MITE). The latter requires that the reduced density matrices of small subsystems be close to those obtained from the microcanonical, equivalently the canonical, ensemble for the whole system. The distinction between MITE and MATE is particularly relevant for systems with many-body localization for which the energy eigenfuctions fail to be in MITE while necessarily most of them, but not all, are in MATE. We note, however, that for generic macroscopic systems, including those with MBL, most wave functions in an energy shell are in both MATE and MITE. For a classical macroscopic system, MATE holds for most phase points on the energy surface, but MITE fails to hold for any phase point.
Sprache
Englisch
Identifikatoren
ISSN: 0031-9007
eISSN: 1079-7114
DOI: 10.1103/physrevlett.115.100402
Titel-ID: cdi_proquest_miscellaneous_1713946882

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