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We study energy transport in XXZ spin chains driven to nonequilibrium configurations by thermal reservoirs of different temperatures at the boundaries. We discuss the transition between diffusive and subdiffusive transport regimes in…

Disordered Systems and Neural Networks · Physics 2019-03-25 Juan Jose Mendoza-Arenas , Marko Znidaric , Vipin Kerala Varma , John Goold , Stephen R. Clark , Antonello Scardicchio

We present a numerical study of the diffusion of energy at high temperature in strongly disordered chains of interacting classical spins evolving deterministically. We find that quenched randomness strongly suppresses transport, with the…

Strongly Correlated Electrons · Physics 2013-05-29 Vadim Oganesyan , Arijeet Pal , David A. Huse

We study the ergodic side of the many-body localization transition in its standard model, the disordered Heisenberg quantum spin chain. We show that the Thouless energy, extracted from long-range spectral statistics and the power-spectrum…

Statistical Mechanics · Physics 2020-07-02 Ángel L. Corps , Rafael A. Molina , Armando Relaño

We study the transitions between ergodic and many-body localized phases in spin systems, subject to quenched disorder, including the Heisenberg chain and the central spin model. In both cases systems with common spin lengths $1/2$ and $1$…

Disordered Systems and Neural Networks · Physics 2021-05-19 John Schliemann , Joao Vitor I. Costa , Paul Wenk , J. Carlos Egues

We study finite-temperature magnetization transport in a one-dimensional anisotropic Heisenberg model, focusing in particular on the gapped phase. Using numerical simulations by two different methods, a propagation of localized wavepackets…

Strongly Correlated Electrons · Physics 2011-11-30 Simon Jesenko , Marko Znidaric

Quantum transport in disordered systems poses intriguing fundamental questions about the interplay of disorder, interactions, and decoherence, with important implications for nanoscale energy transfer and quantum information transfer. Here,…

Quantum Physics · Physics 2026-05-12 Roi Nevo , Brett Min , Maggie Lawrence , Dvira Segal , Nir Bar-Gill

Dissipation is a common occurrence in real-world systems and is generally considered to be detrimental to transport. In this study, we examine the transport properties of a narrow quantum anomalous Hall system with dissipation applied on…

Mesoscale and Nanoscale Physics · Physics 2024-04-02 Ming Lu , Xue-Zhu Liu , Hailong Li , Zhi-Qiang Zhang , Jie Liu , X. C. Xie

The isotropic Heisenberg chain represents a particular case of an integrable many-body system exhibiting superdiffusive spin transport at finite temperatures. Here, we show that this model has distinct properties also at finite…

Strongly Correlated Electrons · Physics 2023-10-09 S. Nandy , Z. Lenarčič , E. Ilievski , M. Mierzejewski , J. Herbrych , P. Prelovšek

A common wisdom posits that transports of conserved quantities across clean nonintegrable quantum systems at high temperatures are diffusive when probed from the emergent hydrodynamic regime. We show that this empirical paradigm may alter…

Strongly Correlated Electrons · Physics 2024-09-20 Chun Chen , Yan Chen , Xiaoqun Wang

We explore the physics of the disordered XYZ spin chain using two complementary numerical techniques: exact diagonalization (ED) on chains of up to 17 spins, and time-evolving block decimation (TEBD) on chains of up to 400 spins. Our…

Disordered Systems and Neural Networks · Physics 2018-11-14 Maximilian Schulz , Scott Richard Taylor , Christopher Andrew Hooley , Antonello Scardicchio

It is commonly believed that quantum isolated systems satisfying the eigenstate thermalization hypothesis (ETH) are diffusive. We show that this assumption is too restrictive, since there are systems that are asymptotically in a thermal…

Statistical Mechanics · Physics 2016-10-25 David J. Luitz , Yevgeny Bar Lev

We study the disordered Heisenberg spin chain, which exhibits many body localization at strong disorder, in the weak to moderate disorder regime. A continued fraction calculation of dynamical correlations is devised, using a variational…

Disordered Systems and Neural Networks · Physics 2016-06-22 Ilia Khait , Snir Gazit , Norman Y. Yao , Assa Auerbach

We derive and study the effective spin model that explains the anomalous spin dynamics in the one-dimensional Hubbard model with strong potential disorder. Assuming that charges are localized, we show that spins are delocalized and their…

Strongly Correlated Electrons · Physics 2018-06-20 Maciej Kozarzewski , Peter Prelovsek , Marcin Mierzejewski

We consider a one-dimensional fermionic lattice system with long-ranged power-law decaying hopping with exponent $\alpha$. The system is further subjected to dephasing noise in the bulk. We investigate two variants of the problem: (i) an…

Statistical Mechanics · Physics 2024-06-04 Abhinav Dhawan , Katha Ganguly , Manas Kulkarni , Bijay Kumar Agarwalla

We investigate the effect of ergodic inclusions in putative many-body localized systems. To this end, we consider the random field Heisenberg chain, which is many-body localized at strong disorder and we couple it to an ergodic bubble,…

Disordered Systems and Neural Networks · Physics 2024-07-08 Luis Colmenarez , David J. Luitz , Wojciech De Roeck

We analyze a one-dimensional XXZ spin chain in a disordered magnetic field. As the main probes of the system's behavior we use the sensitivity of eigenstates to adiabatic transformations, as expressed through the fidelity susceptibility, in…

Quantum Physics · Physics 2021-11-09 Dries Sels , Anatoli Polkovnikov

Many-body localization is characterized by a slow logarithmic growth of the entanglement entropy after a global quantum quench while the local memory of an initial density imbalance remains at infinite time. We investigate how much the…

Disordered Systems and Neural Networks · Physics 2017-05-30 David J. Luitz , Nicolas Laflorencie , Fabien Alet

We study the non-equilibrium transport properties of a highly anisotropic two-dimensional lattice of spin-1/2 particles governed by a Heisenberg XXZ Hamiltonian. The anisotropy of the lattice allows us to approximate the system at finite…

Strongly Correlated Electrons · Physics 2016-11-22 J. J. Mendoza-Arenas , M. T. Mitchison , S. R. Clark , J. Prior , D. Jaksch , M. B. Plenio

We investigate finite temperature spin transport in one spatial dimension by considering the spin-spin correlation function of the Hubbard model in the limiting case of infinitely strong repulsion. We find that in the absence of bias the…

Strongly Correlated Electrons · Physics 2023-08-30 Oleksandr Gamayun , Arthur Hutsalyuk , Balázs Pozsgay , Mikhail B. Zvonarev

We present a numerical study on the spin and thermal conductivities of the spin-1 Heisenberg chain in the high temperature limit, in particular of the Drude weight contribution and frequency dependence. We use the Exact Diagonalization and…

Strongly Correlated Electrons · Physics 2009-11-10 J. Karadamoglou , X. Zotos