Gapless deconfined phase in aℤ𝑁-symmetric Hamiltonian created in a cold-atom setup

IF 3.7 2区 物理与天体物理 Q1 Physics and Astronomy
Mykhailo V. Rakov, Luca Tagliacozzo, Maciej Lewenstein, Jakub Zakrzewski, Titas Chanda
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引用次数: 0

Abstract

We investigate a quasi-two-dimensional system consisting of two species of alkali atoms confined in a specific optical lattice potential [Phys. Rev. A 95, 053608 (2017)]. In the low-energy regime, this system is governed by a unique 𝑁 gauge theory, where field theory arguments have suggested that it may exhibit two exotic gapless deconfined phases, namely a dipolar liquid phase and a Bose liquid phase, along with two gapped (confined and deconfined) phases. We address these predictions numerically by using large-scale density matrix renormalization group simulations. Our findings provide conclusive evidence for the existence of a gapless Bose liquid phase for 𝑁7. We demonstrate that this gapless phase shares the same critical properties as one-dimensional critical phases, resembling weakly coupled chains of Luttinger liquids. In the range of ladder and cylinder geometries and 𝑁 considered, the gapless dipolar phase predicted theoretically is still elusive and its characterization will probably require a full two-dimensional treatment.
在冷原子装置中创建的ℤ𝑁对称哈密顿中的无间隙去约束相
我们研究了一个由两种碱原子组成的准二维系统,它被限制在一个特定的光学晶格势中[Phys. Rev. A 95, 053608 (2017)]。在低能体系中,该体系受一个独特的ℤ𝑁规理论支配,场论论证表明它可能表现出两个奇异的无间隙去致密相,即双极液相和玻色液相,以及两个间隙(致密和去致密)相。我们利用大尺度密度矩阵重正化群模拟对这些预测进行了数值处理。我们的发现为𝑁≥7 存在无间隙玻色液相提供了确凿的证据。我们证明了这种无间隙相具有与一维临界相相同的临界性质,类似于弱耦合的鲁丁格液体链。在所考虑的梯形和圆柱体几何形状及𝑁 的范围内,理论上预测的无间隙偶极相仍然难以捉摸,其特征可能需要全面的二维处理。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Physical Review B
Physical Review B 物理-物理:凝聚态物理
CiteScore
6.70
自引率
32.40%
发文量
0
审稿时长
3.0 months
期刊介绍: Physical Review B (PRB) is the world’s largest dedicated physics journal, publishing approximately 100 new, high-quality papers each week. The most highly cited journal in condensed matter physics, PRB provides outstanding depth and breadth of coverage, combined with unrivaled context and background for ongoing research by scientists worldwide. PRB covers the full range of condensed matter, materials physics, and related subfields, including: -Structure and phase transitions -Ferroelectrics and multiferroics -Disordered systems and alloys -Magnetism -Superconductivity -Electronic structure, photonics, and metamaterials -Semiconductors and mesoscopic systems -Surfaces, nanoscience, and two-dimensional materials -Topological states of matter
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