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相关论文: Hilbert space fragmentation from lattice geometry

200 篇论文

Non-equilibrium properties of quantum materials present many intriguing properties, among them athermal behavior, which violates the eigenstate thermalization hypothesis. Such behavior has primarily been observed in disordered systems. More…

强关联电子 · 物理学 2020-07-01 Kyungmin Lee , Ronald Melendrez , Arijeet Pal , Hitesh J. Changlani

We study the infinite temperature dynamics of a prototypical one-dimensional system expected to exhibit many-body localization. Using numerically exact methods, we establish the dynamical phase diagram of this system based on the statistics…

无序系统与神经网络 · 物理学 2015-03-18 Yevgeny Bar Lev , Guy Cohen , David R. Reichman

Field theories place one or more degrees of freedom at every point in space. Hilbert spaces describing quantum field theories, or their finite-dimensional discretizations on lattices, therefore have large amounts of structure: they are…

量子物理 · 物理学 2018-02-15 Jason Pollack , Ashmeet Singh

We investigate the quantum dynamics of the 1D spinless Fermi-Hubbard model with a linear-tilted potential. Surprisingly in a strong resonance regime, we show that the model can be described by the kinetically constrained effective…

强关联电子 · 物理学 2024-03-01 Wei-Jie Huang , Yu-Biao Wu , Guang-Can Guo , Wu-Ming Liu , Xu-Bo Zou

Quantum systems that violate the eigenstate thermalisation hypothesis thereby falling outside the paradigm of conventional statistical mechanics are of both intellectual and practical interest. We show that such a breaking of ergodicity may…

无序系统与神经网络 · 物理学 2020-05-20 Sthitadhi Roy , Achilleas Lazarides

Partial solvability plays an important role in the context of statistical mechanics, since it has turned out to be closely related to the emergence of quantum many-body scar states, i.e., exceptional energy eigenstates which do not obey the…

统计力学 · 物理学 2025-01-09 Chihiro Matsui , Naoto Tsuji

The complexity of highly excited eigenstates is a central theme in nonequilibrium many-body physics, underpining questions of thermalization, classical simulability, and quantum information structure. In this work, considering the…

量子物理 · 物理学 2026-03-04 Sabhyata Gupta , Piotr Sierant , Luis Santos , Paolo Stornati

Generic quantum many-body systems are expected to thermalize, scrambling initial coherence while local observables relax to equilibrium values. Weak ergodicity breaking, often associated with quantum many-body scarring of homogeneous…

量子物理 · 物理学 2026-05-25 Aron Kerschbaumer , Jean-Yves Desaules , Maksym Serbyn

We present a study of thermalisation of a small isolated Hubbard lattice cluster prepared in a pure state with a well-defined energy. We examine how a two-site subsystem of the lattice thermalises with the rest of the system as its…

量子气体 · 物理学 2013-06-14 S. Genway , A. F. Ho , D. K. K. Lee

Understanding the evolution towards thermal equilibrium of an isolated quantum system is at the foundation of statistical mechanics and a subject of interest in such diverse areas as cold atom physics or the quantum mechanics of black…

统计力学 · 物理学 2014-03-13 Sergei Khlebnikov , Martin Kruczenski

We study the potential influence of the particle multi-occupations on the stability of many-body localization in the disordered Bose-Hubbard model. Within the higher-energy section of the dynamical phase diagram, we find that there is no…

无序系统与神经网络 · 物理学 2025-10-30 Jie Chen , Chun Chen , Xiaoqun Wang

In this paper, we study the thermodynamic properties of spin-$1/2$ antiferromagnetic Heisenberg ladders by means of the stochastic series expansion quantum Monte Carlo technique. This includes the thermal properties of the specific heat,…

统计力学 · 物理学 2024-04-01 Erol Vatansever , Georgi G. Grahovski , Nikolaos G. Fytas

We propose an entanglement-enhanced sensing scheme that is robust against spatially inhomogeneous always-on Ising interactions. Our strategy is to tailor coherent quantum dynamics employing the Hilbert-space fragmentation (HSF), a recently…

量子物理 · 物理学 2022-11-18 Atsuki Yoshinaga , Yuichiro Matsuzaki , Ryusuke Hamazaki

Many-body localization is a profound phase of matter affecting the entire spectrum which emerges in the presence of disorder in interacting many-body systems. Recently, the stability of many-body localization has been challenged by the…

量子物理 · 物理学 2025-10-21 Muhammad Sajid , Rozhin Yousefjani , Abolfazl Bayat

We numerically examine slow and hierarchical relaxation dynamics of interacting bosons described by a tilted two-band Bose-Hubbard model. The system is found to exhibit signatures of quantum chaos within the spectrum and the validity of the…

量子气体 · 物理学 2018-04-19 Jayson G. Cosme

Hilbert space fragmentation (HSF) is a mechanism for generating quantum many-body scar (QMBS), which provides a route to weakly break ergodicity. The zero-energy QMBSs widely exist across various systems due to the intertwining of chiral…

量子物理 · 物理学 2025-02-26 Li Zhang , Yongguan Ke , Chaohong Lee

Exotic phases of matter can emerge from strong correlations in quantum many-body systems. Quantum gas microscopy affords the opportunity to study these correlations with unprecedented detail. Here we report site-resolved observations of…

Eigenstate thermalization is widely accepted as the mechanism behind thermalization in generic isolated quantum systems. Using the example of a single magnetic defect embedded in the integrable spin-1/2 $XXZ$ chain, we show that locally…

统计力学 · 物理学 2020-08-14 Marlon Brenes , Tyler LeBlond , John Goold , Marcos Rigol

Matrix elements of observables in eigenstates of generic Hamiltonians are described by the Srednicki ansatz within the eigenstate thermalization hypothesis (ETH). We study a quantum chaotic spin-fermion model in a one-dimensional lattice,…

统计力学 · 物理学 2021-09-28 C. Schönle , D. Jansen , F. Heidrich-Meisner , L. Vidmar

We find non-monotonic equilibrium energy distributions, qualitatively different from the Fermi-Dirac and Bose-Einstein forms, in strongly-interacting many-body chaotic systems. The effect emerges in systems with finite energy spectra,…

量子气体 · 物理学 2026-01-01 Vladimir A. Yurovsky , Amichay Vardi