Ground-state fidelity in one-dimensional gapless models

2007/07/31 by Min-Fong Yang · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.1103/physrevb.76.180403

published as Phys. Rev. B 76, 180403(R) (2007) · 4+ pages, no figure, published version

openalex publication_date 2007/11/08 · arxiv created 2007/11/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A general relation between quantum phase transitions and the second derivative of the fidelity (or the ``fidelity susceptibility'') is proposed. The validity and the limitation of the fidelity susceptibility in characterizing quantum phase transitions are thus established. Moreover, based on the bosonization method, general formulas of the fidelity and the fidelity susceptibility are obtained for a class of one-dimensional gapless systems known as the Tomonaga-Luttinger liquid. Applying these formulas to the one-dimensional spin-1∕2 XXZ model, we find that quantum phase transitions, even of the Beresinskii-Kosterlitz-Thouless type, can be signaled by the fidelity susceptibility.

Citations

• The critical properties of the two-dimensional xy model
• Ordering, metastability and phase transitions in two-dimensional systems

Cited by

• Thermal states of the Kitaev honeycomb model: Bures metric analysis
• Ground state fidelity of Luttinger liquids: a wavefunctional approach
• Partial-state fidelity and quantum phase transitions induced by continuous level crossing