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相关论文: Area laws in a many-body localized state and its i…

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Recent work by De Roeck et al. [Phys. Rev. B 95, 155129 (2017)] has argued that many-body localization (MBL) is unstable in two and higher dimensions due to a thermalization avalanche triggered by rare regions of weak disorder. To examine…

无序系统与神经网络 · 物理学 2019-05-29 Ionut-Dragos Potirniche , Sumilan Banerjee , Ehud Altman

Anderson localization (AL) phenomena usually exists in systems with random potential. However, disorder-free quantum many-body systems with local conservation can also exhibit AL or even many-body localization transition. In this work, we…

强关联电子 · 物理学 2020-10-20 Wei-Wei Yang , Lan Zhang , Xue-Ming Guo , Yin Zhong

We show that the presence of a harmonic trap may in itself lead to many-body localization for cold atoms confined in that trap in a quasi-one-dimensional geometry. Specifically, the coexistence of delocalized phase in the center of the trap…

统计力学 · 物理学 2020-10-13 Titas Chanda , Ruixiao Yao , Jakub Zakrzewski

We investigate a mechanism for non-ergodic behavior in many-body quantum systems arising from destructive interference, leading to localization in Fock space. Drawing parallels with single-particle flat-band localization and Aharonov-Bohm…

量子物理 · 物理学 2026-04-28 Cheryne Jonay , Frank Pollmann

We consider fully many-body localized systems, i.e. isolated quantum systems where all the many-body eigenstates of the Hamiltonian are localized. We define a sense in which such systems are integrable, with localized conserved operators.…

统计力学 · 物理学 2014-11-19 David A. Huse , Rahul Nandkishore , Vadim Oganesyan

We study a simple and tractable model of many-body localization. The main idea is to take a renormalization group perspective in which local entanglement is removed to reach a product state. The model is built from a random local unitary…

无序系统与神经网络 · 物理学 2013-07-03 Brian Swingle

We prove the existence of extensive many-body Hamiltonians with few-body interactions and a many-body mobility edge: all eigenstates below a nonzero energy density are localized in an exponentially small fraction of "energetically allowed…

统计力学 · 物理学 2024-09-24 Chao Yin , Rahul Nandkishore , Andrew Lucas

We study a partially disordered one-dimensional system with interacting particles. Concretely, we impose a disorder potential to only every other site, followed by a clean site. Our numerical analysis of eigenstate properties is based on…

量子气体 · 物理学 2024-03-29 Suman Mondal , Fabian Heidrich-Meisner

We study many-body localization (MBL) in a one-dimensional system of spinless fermions with a deterministic aperiodic potential in the presence of long-range interactions or long-range hopping. Based on perturbative arguments there is a…

无序系统与神经网络 · 物理学 2019-06-14 Sabyasachi Nag , Arti Garg

Understanding the metal-insulator transition in disordered many-fermion systems, both with and without interactions, is one of the most challenging and consequential problems in condensed matter physics. In this paper we address this issue…

无序系统与神经网络 · 物理学 2015-10-19 Vipin Kerala Varma , Sebastiano Pilati

Many-body localisation is studied in a disordered quantum spin-1/2 chain with long-ranged power-law interactions, and distinct power-law exponents for interactions between longitudinal and transverse spin components. Using a self-consistent…

无序系统与神经网络 · 物理学 2019-10-09 Sthitadhi Roy , David E. Logan

In this work we demonstrate that non-random mechanisms that lead to single-particle localization may also lead to many-body localization, even in the absence of disorder. In particular, we consider interacting spins and fermions in the…

无序系统与神经网络 · 物理学 2019-04-26 Evert P. L. van Nieuwenburg , Yuval Baum , Gil Refael

We show, using quasi-exact numerical simulations, that Anderson localization of one-dimensional particles in a disordered potential survives in the presence of attractive interaction between particles. The localization length of the…

Many-body localization (MBL) is a result of the balance between interference-based Anderson localization and many-body interactions in an ultra-high dimensional Fock space. It is usually expected that dissipation is blurring interference…

无序系统与神经网络 · 物理学 2018-07-25 I. Vakulchyk , I. Yusipov , M. Ivanchenko , S. Flach , S. Denisov

The existence of many-body mobility edges in closed quantum systems has been the focus of intense debate after the emergence of the description of the many-body localization phenomenon. Here we propose that this issue can be settled in…

强关联电子 · 物理学 2019-05-01 Xing Bo Wei , Chen Cheng , Gao Xianlong , Rubem Mondaini

We analyze many-body entanglement in interacting fermionic systems by using the $M$-body reduced density matrix. We demonstrate that if a particle number conserving fermionic Hamiltonian contains only up to $M$-body interaction terms, then…

量子物理 · 物理学 2026-04-06 Irakli Giorgadze , Grayson Welch , Haixuan Huang , Elio J. König , Jukka I. Väyrynen

We consider a two dimensional itinerant SYK model of spin-less fermions, with a linear dispersion, interacting via random long range all-to-all interactions. In the large-N limit, we find an asymptotic power series solution of the…

强关联电子 · 物理学 2019-03-05 T. Tzen Ong

We probe the existence of a many-body localized phase (MBL-phase) in a spinless fermionic Hubbard chain with algebraically localized single-particle states, by investigating both static and dynamical properties of the system. This MBL-phase…

无序系统与神经网络 · 物理学 2019-02-11 Giuseppe De Tomasi

We generalize Page's result on the entanglement entropy of random pure states to the many-body eigenstates of realistic disordered many-body systems subject to long range interactions. This extension leads to two principal conclusions:…

无序系统与神经网络 · 物理学 2021-07-21 Felipe Monteiro , Masaki Tezuka , Alexander Altland , David A. Huse , Tobias Micklitz

A prime characterization of many-body localized (MBL) systems is the entanglement of their eigenstates; in contrast to the typical ergodic phase whose eigenstates are volume law, MBL eigenstates obey an area law. In this work, we show that…

无序系统与神经网络 · 物理学 2018-09-12 Xiongjie Yu , Di Luo , Bryan K. Clark