Kosterlitz-Thouless Phase Transition and Ground State Fidelity: a Novel Perspective from Matrix Product States

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dc.creatorWang, Hong-Lei
dc.creatorZhao, Jian-Hui
dc.creatorLi, Bo
dc.creatorZhou, Huan-Qiang
dc.date2009-02-10
dc.date.accessioned2026-07-07T12:39:54Z
dc.date.available2026-07-07T12:39:54Z
dc.descriptionThe Kosterlitz-Thouless transition is studied from the representation of the systems's ground state wave functions in terms of Matrix Product States for a quantum system on an infinite-size lattice in one spatial dimension. It is found that, in the critical regime for a one-dimensional quantum lattice system with continuous symmetry, the newly-developed infinite Matrix Product State algorithm automatically leads to infinite degenerate ground states, due to the finiteness of the truncation dimension. This results in \textit{pseudo} continuous symmetry spontaneous breakdown, which allows to introduce a pseudo-order parameter that must be scaled down to zero, in order to be consistent with the Mermin-Wegner theorem. We also show that the ground state fidelity per lattice site exhibits a \textit{catastrophe point}, thus resolving a controversy regarding whether or not the ground state fidelity is able to detect the Kosterlitz-Thouless transition.
dc.description4+pages, 2 figures, 1 table
dc.identifierhttps://arxiv.org/abs/0902.1670
dc.identifierhttp://arxiv.org/abs/0902.1670
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219281
dc.subjectStatistical Mechanics
dc.subjectStrongly Correlated Electrons
dc.titleKosterlitz-Thouless Phase Transition and Ground State Fidelity: a Novel Perspective from Matrix Product States
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