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相关论文: Logarithmic entanglement growth in two-dimensional…

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We study many-body localization for a disordered chain of spin 1/2 fermions. In [Phys. Rev. B \textbf{94}, 241104 (2016)], when both down and up components are exposed to the same strong disorder, the authors observe a power law growth of…

无序系统与神经网络 · 物理学 2018-07-25 Jakub Zakrzewski , Dominique Delande

We study the time evolution of the R\'enyi entanglement entropies following a quantum quench in a two-dimensional (2D) free-fermion system. By employing dimensional reduction, we effectively transform the 2D problem into decoupled chains, a…

统计力学 · 物理学 2023-10-30 Shion Yamashika , Filiberto Ares , Pasquale Calabrese

Motivated by recent development of the concept of the disorder operator and its relation with entanglement entropy in bosonic systems, here we show the disorder operator successfully probes many aspects of quantum entanglement in fermionic…

强关联电子 · 物理学 2023-09-06 Weilun Jiang , Bin-Bin Chen , Zi Hong Liu , Junchen Rong , Fakher F. Assaad , Meng Cheng , Kai Sun , Zi Yang Meng

Entanglement has become central for the characterization of quantum matter both in and out of equilibrium. In a dynamical context entanglement exhibits universal linear temporal growth in generic systems, which stems from the underlying…

统计力学 · 物理学 2020-10-13 Arkadiusz Kosior , Markus Heyl

Entanglement plays a prominent role in the study of condensed matter many-body systems: Entanglement measures not only quantify the possible use of these systems in quantum information protocols, but also shed light on their physics.…

量子物理 · 物理学 2021-11-02 Shachar Fraenkel , Moshe Goldstein

We investigate how information spreads in three paradigmatic one-dimensional models with spatial disorder. The models we consider are unitarily related to a system of free fermions and are thus manifestly integrable. We demonstrate that…

强关联电子 · 物理学 2019-01-23 Max McGinley , Andreas Nunnenkamp , Johannes Knolle

The dynamics of entanglement has recently been realized as a useful probe in studying ergodicity and its breakdown in quantum many-body systems. In this paper, we study theoretically the growth of entanglement in quantum many-body systems…

统计力学 · 物理学 2017-03-02 Wen Wei Ho , Dmitry A. Abanin

We compare the capacity of entanglement with the entanglement entropy by considering various aspects of these quantities for free bosonic and fermionic models in one spatial dimension, both in the continuum and on the lattice. Substantial…

统计力学 · 物理学 2023-04-20 Raúl Arias , Giuseppe Di Giulio , Esko Keski-Vakkuri , Erik Tonni

We consider different disordered lattice models composed of $M$ linear chains glued together in a star-like manner, and study the scaling of the entanglement between one arm and the rest of the system using a numerical strong-disorder…

统计力学 · 物理学 2018-08-09 Róbert Juhász , Johannes M. Oberreuter , Zoltán Zimborás

Understanding quantum entanglement in interacting higher-dimensional conformal field theories is a challenging task, as direct analytical calculations are often impossible to perform. With holographic entanglement entropy, calculations of…

高能物理 - 理论 · 物理学 2018-06-29 Alexander Jahn , Tadashi Takayanagi

Effective light cones, characterized by Lieb-Robinson bounds, emerge in nonrelativistic local quantum systems. Here, we present several analytical results derived from logarithmic light cones (LLCs). Possible origins of LLCs include the…

量子物理 · 物理学 2025-09-17 Yu Zeng , Alioscia Hamma , Yu-Ran Zhang , Qiang Liu , Rengang Li , Heng Fan , Wu-Ming Liu

A formidable perspective in understanding quantum criticality of a given many-body system is through its entanglement contents. Until now, most progress are only limited to the disorder-free case. Here, we develop an efficient scheme to…

强关联电子 · 物理学 2022-12-01 Qicheng Tang , W. Zhu

We study the scaling of ground state entanglement entropy of various free fermionic models on one dimensional lattices, where the hopping and pairing terms decay as a power law. We seek to understand the scaling of entanglement entropy in…

强关联电子 · 物理学 2024-05-27 Debarghya Chakraborty , Nikolaos Angelinos

We investigate a quantum quench from a critical to an exceptional point. The initial state, prepared in the ground state of a critical hermitian system, is time evolved with a non-hermitian SSH model, tuned to its exceptional point. The…

强关联电子 · 物理学 2021-02-26 Ádám Bácsi , Balázs Dóra

The study of the entanglement dynamics plays a fundamental role in understanding the behaviour of many-body quantum systems out of equilibrium. In the presence of a globally conserved charge, further insights are provided by the knowledge…

统计力学 · 物理学 2023-03-31 Gilles Parez , Riccarda Bonsignori , Pasquale Calabrese

In this paper, we discuss the possibility of unexplored behaviours for the entanglement entropy in extended quantum systems. Namely, we study the R\'enyi entanglement entropy for the ground state of long-range Kitaev chains with slow…

统计力学 · 物理学 2019-11-27 Filiberto Ares , José G. Esteve , Fernando Falceto , Zoltán Zimborás

We investigate the finite-size corrections of the entanglement entropy of critical ladders and propose a conjecture for its scaling behavior. The conjecture is verified for free fermions, Heisenberg and quantum Ising ladders. Our results…

统计力学 · 物理学 2015-06-22 J. C. Xavier , F. B. Ramos

We study the growth of entanglement entropy and bond dimension with time in density matrix renormalization group simulations of the periodically driven single-impurity Anderson model. The growth of entanglement entropy is found to be…

强关联电子 · 物理学 2019-05-29 Zhuoran He , Andrew J. Millis

We relate the reduced density matrices of quadratic bosonic and fermionic models to their Green's function matrices in a unified way and calculate the scaling of bipartite entanglement of finite systems in an infinite universe exactly. For…

统计力学 · 物理学 2007-05-23 Thomas Barthel , Ming-Chiang Chung , Ulrich Schollwoeck

We study out of time order correlations, $C(x,t)$ and entanglement growth in the random field XX model with open boundary conditions using the exact Jordan-Wigner transformation to a fermionic Hamiltonian. For any non-zero strength of the…

统计力学 · 物理学 2019-02-20 Jonathon Riddell , Erik S. Sorensen