Quantum Monte Carlo study of hard-core bosons in Creutz ladder with zero flux

doi:10.1088/1674-1056/27/1/010204

中国物理B ›› 2018, Vol. 27 ›› Issue (1): 10204-010204.doi: 10.1088/1674-1056/27/1/010204

Quantum Monte Carlo study of hard-core bosons in Creutz ladder with zero flux

Yang Lin(林洋), Weichang Hao(郝维昌), Huaiming Guo(郭怀明)

Department of Physics, Key Laboratory of Micro-Nano Measurement-Manipulation and Physics(Ministry of Education), Beihang University, Beijing 100191, China

收稿日期:2017-04-13 修回日期:2017-09-12 出版日期:2018-01-05 发布日期:2018-01-05
通讯作者: Huaiming Guo E-mail:hmguo@buaa.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11274032, 11774019, 51472016, and 51672018).

Quantum Monte Carlo study of hard-core bosons in Creutz ladder with zero flux

Yang Lin(林洋), Weichang Hao(郝维昌), Huaiming Guo(郭怀明)

Department of Physics, Key Laboratory of Micro-Nano Measurement-Manipulation and Physics(Ministry of Education), Beihang University, Beijing 100191, China

Received:2017-04-13 Revised:2017-09-12 Online:2018-01-05 Published:2018-01-05
Contact: Huaiming Guo E-mail:hmguo@buaa.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11274032, 11774019, 51472016, and 51672018).

摘要/Abstract

摘要： The quantum phase of hard-core bosons in Creutz ladder with zero flux is studied. For a specific regime of the parameters (t_x=t_p, t_y<0), the exact ground-state is found analytically, which is a dimerized insulator with one electron bound in each rung of the ladder. For the case t_x,t_y,t_p>0, the system is exactly studied using quantum Monte Carlo (QMC) method without a sign problem. It is found that the system is a Mott insulator for small t_p and a quantum phase transition to a superfluid phase is driven by increasing t_p. The critical t_p^c is determined precisely by a scaling analysis. Since it is possible that the Creutz ladder is realized experimentally, the theoretical results are interesting to the cold-atom experiments.

关键词: quantum Monte Carlo method, Creutz ladder, Mott insulator

Abstract: The quantum phase of hard-core bosons in Creutz ladder with zero flux is studied. For a specific regime of the parameters (t_x=t_p, t_y<0), the exact ground-state is found analytically, which is a dimerized insulator with one electron bound in each rung of the ladder. For the case t_x,t_y,t_p>0, the system is exactly studied using quantum Monte Carlo (QMC) method without a sign problem. It is found that the system is a Mott insulator for small t_p and a quantum phase transition to a superfluid phase is driven by increasing t_p. The critical t_p^c is determined precisely by a scaling analysis. Since it is possible that the Creutz ladder is realized experimentally, the theoretical results are interesting to the cold-atom experiments.

Key words: quantum Monte Carlo method, Creutz ladder, Mott insulator

中图分类号: (Quantum Monte Carlo methods)

02.70.Ss

05.30.Rt (Quantum phase transitions)

林洋, 郝维昌, 郭怀明. Quantum Monte Carlo study of hard-core bosons in Creutz ladder with zero flux[J]. 中国物理B, 2018, 27(1): 10204-010204.

Yang Lin(林洋), Weichang Hao(郝维昌), Huaiming Guo(郭怀明). Quantum Monte Carlo study of hard-core bosons in Creutz ladder with zero flux[J]. Chin. Phys. B, 2018, 27(1): 10204-010204.

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Quantum Monte Carlo study of hard-core bosons in Creutz ladder with zero flux

Quantum Monte Carlo study of hard-core bosons in Creutz ladder with zero flux

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