PMID: 18233815Feb 1, 2008Paper

Fidelity and quantum phase transition for the Heisenberg chain with next-nearest-neighbor interaction

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Shu ChenYupeng Wang

Abstract

In this paper, we investigate the fidelity for the Heisenberg chain with the next-nearest-neighbor interaction (or the J1-J2 model) and analyze its connections with quantum phase transition. We compute the fidelity between the ground states and find that the phase transition point of the J1-J2 model cannot be well characterized by the ground-state fidelity for finite-size systems. Instead, we introduce and calculate the fidelity between the first excited states. Our results show that the quantum transition can be well characterized by the fidelity of the first excited state even for a small-size system.

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Citations

Jun 11, 2008·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Wen-Qiang NingHai-Qing Lin
Oct 14, 2009·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Yu-Yu ZhangKe-Lin Wang
Mar 21, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nikola Paunković, Vitor Rocha Vieira
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ho-Man KwokHai-Qing Lin
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H T Quan, F M Cucchietti
Oct 3, 2014·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Mischa Thesberg, Erik S Sørensen
Oct 16, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J HutchinsonF Mezzadri
Feb 20, 2013·Journal of Physics. Condensed Matter : an Institute of Physics Journal·V M L Durga Prasad GoliDiptiman Sen
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Qiang ZhengZhongzhou Ren
Dec 31, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jian MaXiaoguang Wang
Nov 7, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yu-Quan Ma
Oct 2, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jian MaShi-Jian Gu
Jul 18, 2021·Physical Review. E·Johanna Vielhaben, Nils Strodthoff

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