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We study quantum information scrambling, specifically the growth of Heisenberg operators, in large disordered spin chains using matrix product operator dynamics to scan across the thermalization-localization quantum phase transition. We…

Strongly Correlated Electrons · Physics 2019-10-23 Subhayan Sahu , Shenglong Xu , Brian Swingle

The presence of quantum scars, athermal eigenstates of a many-body Hamiltonian with finite energy density, leads to absence of ergodicity and long-time coherent dynamics in closed quantum systems starting from simple initial states. Such…

Quantum Physics · Physics 2020-06-02 Bhaskar Mukherjee , Sourav Nandy , Arnab Sen , Diptiman Sen , K. Sengupta

The semi-infinite XY spin chain with an impurity at the boundary has been chosen as a prototype of interacting many-body systems to test for non-ergodic behavior. The model is exactly solvable in analytic way in the thermodynamic limit,…

Statistical Mechanics · Physics 2018-10-17 A. O. García Rodríguez , G. G. Cabrera

We investigate a one-dimensional correlated-hopping model of spinless fermions with an East constraint. We first analytically unravel the complete fragmentation structure of this model by labeling each fragment by a unique root…

Statistical Mechanics · Physics 2025-01-13 Maitri Ganguli , Sreemayee Aditya , Diptiman Sen

We investigate the onset and mechanism of Hilbert space fragmentation (HSF) in a chain of strongly interacting Rydberg atoms subject to local dephasing. It is found that the emergence of multiple long-lived metastable states is…

Quantum Physics · Physics 2025-12-01 Tianyi Yan , Chun Hei Leung , Weibin Li

Thermalization in many-body systems can be inhibited by the application of a linearly increasing potential, which is known as Stark many-body localization. Here we investigate the fate of this phenomenon on a two-dimensional disorder-free…

Strongly Correlated Electrons · Physics 2022-04-29 Elmer V. H. Doggen , Igor V. Gornyi , Dmitry G. Polyakov

The phenomenon of many-body localization in disordered quantum many-body systems occurs when all transport is suppressed despite the fact that the excitations of the system interact. In this work we report on the numerical simulation of…

Disordered Systems and Neural Networks · Physics 2017-05-18 Vipin Kerala Varma , Alessio Lerose , Francesca Pietracaprina , John Goold , Antonello Scardicchio

We study theoretically transitions between the localized and chaotic many-body regimes in one-dimensional quantum lattice systems with long-range couplings between particles and linear external potential. In terms of established criteria…

Quantum Gases · Physics 2022-06-02 I. V. Lukin , Yu. V. Slyusarenko , A. G. Sotnikov

The recent observations of persistent revivals in the Rydberg atom chain have revealed a weak ergodicity breaking mechanism known as quantum many-body scars, which is typically a collection of states with low entanglement embedded in…

Disordered Systems and Neural Networks · Physics 2023-12-14 Qianqian Chen , Zheng Zhu

This paper explores the effect of strong-to-weak fragmentation transition, namely freezing transition, and its rich characteristics in a family of one-dimensional spinless fermionic models involving short-to-long-range facilitated hoppings…

Statistical Mechanics · Physics 2025-12-10 Sreemayee Aditya

We present here for the first time a unifying perspective for the lack of equipartition in non-linear ordered systems and the low temperature phase-space fragmentation in disordered systems. We demonstrate that they are just two…

Statistical Mechanics · Physics 2021-02-08 Giacomo Gradenigo , Fabrizio Antenucci , Luca Leuzzi

Modern thermodynamic theories can be used to study highly complex quantum dynamics. Here, we experimentally demonstrate that the violation of thermodynamic constraints allows to detect the coupling of a quantum system to a hidden…

Quantum Physics · Physics 2021-03-10 Ivan Henao , Raam Uzdin , Nadav Katz

Quantum many-body scars (QMBS) represent a mechanism for weak ergodicity breaking, characterized by the coexistence of atypical non-thermal eigenstates within an otherwise thermalizing many-body spectrum. In this work, we revisit the…

Strongly Correlated Electrons · Physics 2026-02-25 Sashikanta Mohapatra , Sanjay Moudgalya , Ajit C. Balram

We consider a model arising in facilitated Rydberg chains with positional disorder which features a Hilbert space with the topology of a $d$-dimensional hypercube. This allows for a straightforward interpretation of the many-body dynamics…

Statistical Mechanics · Physics 2021-06-09 Bart van Voorden , Matteo Marcuzzi , Kareljan Schoutens , Jiří Minář

We present a systematic study of quantum system compression for the evolution of generic many-body problems. The necessary numerical simulations of such systems are seriously hindered by the exponential growth of the Hilbert space dimension…

Quantum Physics · Physics 2021-01-20 Robert L. Kosut , Tak-San Ho , Herschel Rabitz

We study the localization in the Hilbert space of a modified Tomonaga-Luttinger model. For the standard version of this model, the states are found to be extended in the basis of Slater determinants, representing the eigenstates of the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Dimitry M. Gangardt , Shmuel Fishman

We investigate the thermodynamical content of a cellular model which describes nuclear fragmentation as a process taking place in an excited disordered system. The model which reproduces very well the size distribution of fragments does not…

Nuclear Theory · Physics 2009-10-30 J. Richert , D. Boose , A. Lejeune , P. Wagner

We investigate the ergodicity-to-localization transition in interacting fermion systems subjected to a spatially uniform electric field. For that we employ the recently proposed Tensorflow Equations (TFE), a type of continuous unitary flow…

Disordered Systems and Neural Networks · Physics 2025-07-16 Jan-Niklas Herre , Qiyu Liu , Roman Rausch , Christoph Karrasch , Dante M. Kennes

We use exact diagonalization to study the eigenstate thermalization hypothesis (ETH) in the quantum dimer model on the square and triangular lattices. Due to the nonergodicity of the local plaquette-flip dynamics, the Hilbert space, which…

Statistical Mechanics · Physics 2017-09-25 Zhihao Lan , Stephen Powell

Statistical mechanics provides a framework for describing the physics of large, complex many-body systems using only a few macroscopic parameters to determine the state of the system. For isolated quantum many-body systems, such a…

Disordered Systems and Neural Networks · Physics 2025-02-11 Piotr Sierant , Maciej Lewenstein , Antonello Scardicchio , Lev Vidmar , Jakub Zakrzewski