Exact spectral function and nonequilibrium dynamics of the strongly interacting Hubbard model

IF 3.7 2区 物理与天体物理 Q1 Physics and Astronomy Physical Review B Pub Date : 2024-11-01 DOI:10.1103/physrevb.110.205101
Ovidiu I. Pâţu, Andreas Klümper, Angela Foerster
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Abstract

Analytical results on the correlation functions of strongly correlated many-body systems are rare in the literature and their importance cannot be overstated. We present determinant representations for the space-, time-, and temperature-dependent correlation functions of the strongly interacting one-dimensional Hubbard model in the presence of an external trapping potential. These representations are exact and valid in both equilibrium and nonequilibrium scenarios like the ones initiated by a sudden change of the confinement potential. In addition, they can be implemented numerically very easily, significantly outperforming other numerical approaches. As applications of our results we investigate the single-particle spectral functions of systems with harmonic trapping and show that dynamical quasicondensation occurs for both fermionic and bosonic spin-1/2 systems released from a Mott insulator state.
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强相互作用哈伯德模型的精确谱函数和非平衡动力学
关于强相关多体系统相关函数的分析结果在文献中非常罕见,其重要性怎么强调都不过分。我们提出了强相互作用一维哈伯德模型在存在外部捕获势时与空间、时间和温度有关的相关函数的行列式表示。这些表示法是精确的,在平衡和非平衡情况下都有效,比如禁锢势突然改变所引发的情况。此外,它们可以非常容易地在数值上实现,明显优于其他数值方法。作为我们研究成果的应用,我们研究了具有谐波捕获的系统的单粒子谱函数,并表明从莫特绝缘体状态释放出来的费米子和玻色子自旋-1/2 系统都会发生动态类凝聚。
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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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