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- W3100235220 endingPage "72" @default.
- W3100235220 startingPage "1" @default.
- W3100235220 abstract "In this article we provide a review of geometrical methods employed in the analysis of quantum phase transitions and non-equilibrium dissipative phase transitions. After a pedagogical introduction to geometric phases and geometric information in the characterisation of quantum phase transitions, we describe recent developments of geometrical approaches based on mixed-state generalisation of the Berry-phase, i.e. the Uhlmann geometric phase, for the investigation of non-equilibrium steady-state quantum phase transitions (NESS-QPTs ). Equilibrium phase transitions fall invariably into two markedly non-overlapping categories: classical phase transitions and quantum phase transitions, whereas in NESS-QPTs this distinction may fade off. The approach described in this review, among other things, can quantitatively assess the quantum character of such critical phenomena. This framework is applied to a paradigmatic class of lattice Fermion systems with local reservoirs, characterised by Gaussian non-equilibrium steady states. The relations between the behaviour of the geometric phase curvature, the divergence of the correlation length, the character of the criticality and the gap – either Hamiltonian or dissipative – are reviewed." @default.
- W3100235220 created "2020-11-23" @default.
- W3100235220 creator A5015929134 @default.
- W3100235220 creator A5057756312 @default.
- W3100235220 creator A5080054926 @default.
- W3100235220 date "2020-01-01" @default.
- W3100235220 modified "2023-10-16" @default.
- W3100235220 title "Geometry of quantum phase transitions" @default.
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