Quantum phase transitions without thermodynamic limits

dc.creatorBrody, Dorje C.
dc.creatorHook, Daniel W.
dc.creatorHughston, Lane P.
dc.date2005-11-16
dc.date2006-04-18
dc.date.accessioned2026-07-07T08:38:31Z
dc.date.available2026-07-07T08:38:31Z
dc.descriptionA new microcanonical equilibrium state is introduced for quantum systems with finite-dimensional state spaces. Equilibrium is characterised by a uniform distribution on a level surface of the expectation value of the Hamiltonian. The distinguishing feature of the proposed equilibrium state is that the corresponding density of states is a continuous function of the energy, and hence thermodynamic functions are well defined for finite quantum systems. The density of states, however, is not in general an analytic function. It is demonstrated that generic quantum systems therefore exhibit second-order (continuous) phase transitions at finite temperatures.
dc.description4 Pages, further references added
dc.identifierhttps://arxiv.org/abs/quant-ph/0511162
dc.identifierhttp://arxiv.org/abs/quant-ph/0511162
dc.identifierProc. R. Soc. A (2007) 463, 2021--2030
dc.identifierdoi:10.1098/rspa.2007.1865
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140757
dc.subjectQuantum Physics
dc.subjectStatistical Mechanics
dc.titleQuantum phase transitions without thermodynamic limits
dc.typetext

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