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We construct a solvable spin chain model of many-body localization (MBL) with a tunable mobility edge. This simple model not only demonstrates analytically the existence of mobility edges in interacting one-dimensional (1D) disordered…

Statistical Mechanics · Physics 2015-07-07 Yichen Huang

We explore the environment-induced synchronization phenomenon in two-level systems in contact with a thermal dissipative environment. We first discuss the conditions under which synchronization emerges between a pair of two-level particles.…

Quantum Physics · Physics 2020-04-24 G. Karpat , İ. Yalçınkaya , B. Çakmak

Many-body localization (MBL) has been proposed to enable and protect topological order in all eigenstates, vastly expanding the traditional ground-state setting. However, for the most intriguing case of two-dimensional (2D) systems with…

Disordered Systems and Neural Networks · Physics 2024-11-15 Florian Venn , Thorsten B. Wahl , Benjamin Béri

We introduce the numerical linked cluster (NLC) expansion as a controlled numerical tool for the study of the many-body localization (MBL) transition in a disordered system with continuous non-perturbative disorder. Our approach works…

Strongly Correlated Electrons · Physics 2015-10-29 Trithep Devakul , Rajiv R. P. Singh

Many-body localization (MBL) has emerged as a novel paradigm for robust ergodicity breaking in closed quantum many-body systems. However, it is not yet clear to which extent MBL survives in the presence of dissipative processes induced by…

Strongly Correlated Electrons · Physics 2016-06-21 Emanuele Levi , Markus Heyl , Igor Lesanovsky , Juan P. Garrahan

The question of how systems respond to perturbations is ubiquitous in physics. Predicting this response for large classes of systems becomes particularly challenging if many degrees of freedom are involved and linear response theory cannot…

Statistical Mechanics · Physics 2024-01-10 Lennart Dabelow , Peter Reimann

The low-lying Dirac modes become localised at the finite-temperature transition in QCD and in other gauge theories, suggesting a general connection between their localisation and deconfinement. The simplest model where this connection can…

High Energy Physics - Lattice · Physics 2021-10-29 György Baranka , Matteo Giordano

Many-body localization (MBL) describes a quantum phase where an isolated interacting system subject to sufficient disorder displays non-ergodic behavior, evading thermal equilibrium that occurs under its own dynamics. Previously, the…

When two initially thermal many-body systems start interacting strongly, their transient states quickly become non-Gibbsian, even if the systems eventually equilibrate. To see beyond this apparent lack of structure during the transient…

Quantum Physics · Physics 2023-08-15 Karen V. Hovhannisyan , Somayyeh Nemati , Carsten Henkel , Janet Anders

An analytical prediction is established of how an isolated many-body quantum system relaxes towards its thermal long-time limit under the action of a time-independent perturbation, but still remaining sufficiently close to a reference case…

Statistical Mechanics · Physics 2020-03-25 Lennart Dabelow , Peter Reimann

We consider a many body fermionic system with an incommensurate external potential and a short range interaction in one dimension. We prove that, for certain densities and weak interactions, the zero temperature thermodynamical correlations…

Strongly Correlated Electrons · Physics 2016-02-23 Vieri Mastropietro

Topology and many-body localization (MBL) have opened new avenues for preserving quantum information at finite energy density. Resonant delocalization plays a crucial role in destabilizing these phenomena. In this work, we study the…

Disordered Systems and Neural Networks · Physics 2023-09-26 Jared Jeyaretnam , Christopher J. Turner , Arijeet Pal

We study the delocalization dynamics of interacting disordered hard-core bosons for quasi-1D and 2D geometries, with system sizes and time scales comparable to state-of-the-art experiments. The results are strikingly similar to the 1D case,…

Disordered Systems and Neural Networks · Physics 2020-10-09 Elmer V. H. Doggen , Igor V. Gornyi , Alexander D. Mirlin , Dmitry G. Polyakov

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…

Disordered Systems and Neural Networks · Physics 2019-05-29 Ionut-Dragos Potirniche , Sumilan Banerjee , Ehud Altman

At low energy, the dynamics of excitations of many physical systems are locally constrained. Examples include frustrated anti-ferromagnets, fractional quantum Hall fluids and Rydberg atoms in the blockaded regime. Can such locally…

Disordered Systems and Neural Networks · Physics 2018-08-30 Chun Chen , Fiona Burnell , Anushya Chandran

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…

Strongly Correlated Electrons · Physics 2019-03-05 T. Tzen Ong

Understanding how closed quantum systems dynamically approach thermal equilibrium presents a major unresolved problem in statistical physics. Generically, non-integrable quantum systems are expected to thermalize as they comply with the…

We study the many-body localization of spin chain systems with quasiperiodic fields. We identify the lower bound for the critical disorder necessary to drive the transition between the thermal and many-body localized phase to be $W_{cl}\sim…

Disordered Systems and Neural Networks · Physics 2017-08-30 Mac Lee , Thomas R. Look , D. N. Sheng , S. P. Lim

Many-body localisation is believed to be generically unstable in quantum systems with continuous non-Abelian symmetries, even in the presence of strong disorder. Breaking these symmetries can stabilise the localised phase, leading to the…

Disordered Systems and Neural Networks · Physics 2023-06-14 S. J. Thomson

We study the entanglement in momentum space of the ground state of a disordered one-dimensional fermion lattice model with attractive interaction. We observe two components in the entanglement spectrum, one of which is related to…

Disordered Systems and Neural Networks · Physics 2017-12-05 Bing-Tian Ye , Zhao-Yu Han , Liang-Zhu Mu , Heng Fan
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