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We use complexity theory to rigorously investigate the difficulty of classically simulating evolution under many-body localized (MBL) Hamiltonians. Using the defining feature that MBL systems have a complete set of quasilocal integrals of…

We present a systematic numerical investigation of the "entanglement geometry gravity" chain in random tensor networks (RTN) established by the ER EPR conjecture and Jacobson's thermodynamic derivation. First, we verify the kinematic…

无序系统与神经网络 · 物理学 2026-04-07 Zhihua Liang

We investigate the occurrence of many-body localization (MBL) on a spin-1/2 transverse-field Ising model defined on a Chimera connectivity graph with random exchange interactions and longitudinal fields. We observe a transition from an…

Non-interacting fermions in one dimension can undergo a localization-delocalization transition in the presence of a quasi-periodic potential as a function of that potential. In the presence of interactions, this transition transforms into a…

无序系统与神经网络 · 物理学 2018-03-28 Ranjan Modak , Soumi Ghosh , Subroto Mukerjee

Characterizing out-of-equilibrium many-body dynamics is a complex but crucial task for quantum applications and the understanding of fundamental phenomena. A central question is the role of localization in quenching quantum thermalization,…

无序系统与神经网络 · 物理学 2018-02-20 Ken Xuan Wei , Chandrasekhar Ramanathan , Paola Cappellaro

There is an ongoing search for a physical or operational definition for quantum mechanics. Several informational principles have been proposed which are satisfied by a theory less restrictive than quantum mechanics. Here, we introduce the…

量子物理 · 物理学 2017-11-28 Yuqian Zhou , Yu Cai , Jean-Daniel Bancal , Fei Gao , Valerio Scarani

The interplay of interactions and strong disorder can lead to an exotic quantum many-body localized (MBL) phase. Beyond the absence of transport, the MBL phase has distinctive signatures, such as slow dephasing and logarithmic entanglement…

In thermal phases, the quantum coherence of individual degrees of freedom is rapidly lost to the environment. Many-body localized (MBL) phases limit the spread of this coherence and appear promising for quantum information applications.…

量子物理 · 物理学 2015-08-31 Norman Y. Yao , Chris R. Laumann , Ashvin Vishwanath

We numerically explore the many body localization (MBL) transition through the lens of the {\it entanglement spectrum}. While a direct transition from localization to thermalization is believed to obtain in the thermodynamic limit (the…

无序系统与神经网络 · 物理学 2017-11-17 Scott D. Geraedts , Nicolas Regnault , Rahul M. Nandkishore

Many-body localization is a unique physical phenomenon driven by interactions and disorder for which a quantum system can evade thermalization. While the existence of a many-body localized phase is now well-established in one-dimensional…

无序系统与神经网络 · 物理学 2020-08-06 Hugo Théveniaut , Zhihao Lan , Gabriel Meyer , Fabien Alet

We address the critical properties of the many-body localization (MBL) phase transition in one-dimensional systems subject to spatially correlated disorder. We consider a general family of disorder models, parameterized by how strong the…

无序系统与神经网络 · 物理学 2022-10-18 Zhengyan Darius Shi , Vedika Khemani , Romain Vasseur , Sarang Gopalakrishnan

This paper addresses the so-called inverse problem which consists in searching for (possibly multiple) parent target Hamiltonian(s), given a single quantum state as input. Starting from $\Psi_0$, an eigenstate of a given local Hamiltonian…

无序系统与神经网络 · 物理学 2019-10-09 Maxime Dupont , Nicolas Macé , Nicolas Laflorencie

We study a quantum spin system with local bilinear interactions and without quenched disorder which seems to display characteristic signatures of a many-body localisation (MBL) transition. From direct diagonalisation of small systems, we…

统计力学 · 物理学 2016-06-01 James M. Hickey , Sam Genway , Juan P. Garrahan

Many-body localization (MBL) is understood theoretically through the existence of an extensive number of local integrals of motion (LIOMs). These conserved quantities are related to the microscopic quantum degrees of freedom that are…

无序系统与神经网络 · 物理学 2025-12-11 Ben Craps , Oleg Evnin , Dmitry Kovrizhin , Gabriele Pascuzzi

Using exact diagonalization technique, we investigate the many-body localization phenomenon in the 1D Heisenberg chain comparing several disorder models. In particular we consider a family of discrete distributions of disorder strengths and…

无序系统与神经网络 · 物理学 2018-04-25 Jakub Janarek , Dominique Delande , Jakub Zakrzewski

We address the fate of many-body localization (MBL) of mid-spectrum eigenstates of a matter-free $U(1)$ quantum-link gauge theory Hamiltonian with random couplings on ladder geometries. Apart from level spacing distribution indicators like…

无序系统与神经网络 · 物理学 2026-01-27 Indrajit Sau , Debasish Banerjee , Arnab Sen

A number of experimental platforms for quantum simulations of disordered quantum matter, from dipolar systems to trapped ions, involve degrees of freedom which are coupled by power-law decaying hoppings or interactions, yet the interplay of…

无序系统与神经网络 · 物理学 2021-01-04 S. J. Thomson , M. Schiró

Combining recent advances in superconducting quantum hardware, we explore quantum correlations in a previously inaccessible regime by observing \emph{simultaneously} high-dimensional and many-body Bell non-locality. We report a…

量子物理 · 物理学 2026-04-28 Yousef Mafi , Ali G. Moghaddam , Teemu Ojanen

Many-body localization (MBL) is well characterized in Fock space. To quantify the degree of this Fock space localization, the multifractal dimension $D_q$ is employed; it has been claimed that $D_q$ shows a jump from the delocalized value…

无序系统与神经网络 · 物理学 2021-06-30 Takahiro Orito , Ken-Ichiro Imura

We consider a one dimensional spin $1/2$ chain with Heisenberg interaction in a disordered parallel magnetic field. This system is known to exhibit the many body localization (MBL) transition at critical strength of disorder. We analyze the…

无序系统与神经网络 · 物理学 2017-03-01 Canran Xu , Maxim G. Vavilov