Berry Phases and Quantum Phase Transitions

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dc.creatorHamma, Alioscia
dc.date2006-02-10
dc.date.accessioned2026-07-07T07:04:17Z
dc.date.available2026-07-07T07:04:17Z
dc.descriptionWe study the connection between Berry phases and quantum phase transitions of generic quantum many-body systems. Consider sequences of Berry phases associated to sequences of loops in the parameter space whose limit is a point. If the sequence of Berry phases does not converge to zero, then the limit point is a quantum critical point. Quantum critical points are associated to failures of adiabaticity. We discuss the remarkable example of the anisotropic XY spin chain in a transverse magnetic field and detect the XX region of criticality.
dc.identifierhttps://arxiv.org/abs/quant-ph/0602091
dc.identifierhttp://arxiv.org/abs/quant-ph/0602091
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109303
dc.subjectQuantum Physics
dc.subjectOther Condensed Matter
dc.titleBerry Phases and Quantum Phase Transitions
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