On quantum phase crossovers in finite systems

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dc.creatorDunning, Clare
dc.creatorHibberd, Katrina E.
dc.creatorLinks, Jon
dc.date2006-02-13
dc.date2006-11-14
dc.date.accessioned2026-07-07T07:04:17Z
dc.date.available2026-07-07T07:04:17Z
dc.descriptionIn this work we define a formal notion of a quantum phase crossover for certain Bethe ansatz solvable models. The approach we adopt exploits an exact mapping of the spectrum of a many-body integrable system, which admits an exact Bethe ansatz solution, into the quasi-exactly solvable spectrum of a one-body Schrödinger operator. Bifurcations of the minima for the potential of the Schrödinger operator determine the crossover couplings. By considering the behaviour of particular ground-state correlation functions, these may be identified as quantum phase crossovers in the many-body integrable system with finite particle number. In this approach the existence of the quantum phase crossover is not dependent on the existence of a thermodynamic limit, rendering applications to finite systems feasible. We study two examples of bosonic Hamiltonians which admit second-order crossovers.
dc.description11 pages, 2 figures. Final version accepted for publication
dc.identifierhttps://arxiv.org/abs/quant-ph/0602098
dc.identifierhttp://arxiv.org/abs/quant-ph/0602098
dc.identifierJ Stat Mech: Theor. Exp. (2006) P11005
dc.identifierdoi:10.1088/1742-5468/2006/11/P11005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109307
dc.subjectQuantum Physics
dc.titleOn quantum phase crossovers in finite systems
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