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We demonstrate ballistic spin transport of an integrable unitary quantum circuit, which can be understood either as a paradigm of an integrable periodically driven (Floquet) spin chain, or as a Trotterized anisotropic ($XXZ$) Heisenberg…

Statistical Mechanics · Physics 2019-04-24 Marko Ljubotina , Lenart Zadnik , Tomaž Prosen

An environment interacting with a quantum system can enhance transport through the suppression of quantum effects responsible for localization. In this paper, we study the interplay between bulk dephasing and a linear potential in a…

Motivated by recent experiments on Google's sycamore NISQ platform on the spin transport resulting from a non-unitary periodic boundary drive of an XXZ chain, we study a classical variant thereof by a combination of analytical and numerical…

Statistical Mechanics · Physics 2025-01-15 Adam J. McRoberts , Roderich Moessner

We study high-temperature spin transport through an anisotropic spin-1/2 Heisenberg chain in which integrability is broken by a single impurity close to the center of the chain. For a finite impurity strength, the level spacing statistics…

Strongly Correlated Electrons · Physics 2018-12-24 Marlon Brenes , Eduardo Mascarenhas , Marcos Rigol , John Goold

Mobility properties inside and around degenerate domains of an elastic lattice partially pinned on a square array of traps are explored by means of a fully controllable model system of macroscopic particles. We focus on the different…

Superconductivity · Physics 2009-11-11 Gwennou Coupier , Michel Saint Jean , Claudine Guthmann

We consider translationally invariant tight-binding all-bands-flat networks which lack dispersion. In a recent work [arXiv:2004.11871] we derived the subset of these networks which preserves nonlinear caging, i.e. keeps compact excitations…

Quantum Gases · Physics 2021-08-25 Carlo Danieli , Alexei Andreanov , Thudiyangal Mithun , Sergej Flach

The transport of magnetization is analyzed for the classical Heisenberg chain at and especially above the isotropic point. To this end, the Hamiltonian equations of motion are solved numerically for initial states realizing harmonic-like…

Statistical Mechanics · Physics 2012-03-15 Robin Steinigeweg

It has been conjectured that transport in integrable one-dimensional (1D) systems is necessarily ballistic. The large diffusive response seen experimentally in nearly ideal realizations of the S=1/2 1D Heisenberg model is therefore puzzling…

Strongly Correlated Electrons · Physics 2010-12-01 J. Sirker , R. G. Pereira , I. Affleck

We study transport and relaxation of spinless fermions with long-range Coulomb interactions at high temperatures through numerical simulations of out-of-equilibrium dynamics. We find that the transport and relaxation are continuously…

Strongly Correlated Electrons · Physics 2023-08-02 Zhi-hua Li

Recent progress in material design enables the study of correlated, low-temperature phases and associated anomalous transport in two-dimensional kagome systems. Here, we show that unconventional spin transport can arise in such systems even…

Strongly Correlated Electrons · Physics 2024-03-20 Masataka Kawano , Frank Pollmann , Michael Knap

Lectures deal with the theory of electronic transport, in particular with the electrical conductivity, in systems dominated by strong electron-electron repulsion. The concept of charge stiffness is introduced to distinguish conductors and…

Strongly Correlated Electrons · Physics 2009-11-07 P. Prelovsek , X. Zotos

We study high temperature spin transport in a disordered Heisenberg chain in the ergodic regime when bulk dephasing is present. We find that while dephasing always renders the transport diffusive, there is nonetheless a remnant of the…

Disordered Systems and Neural Networks · Physics 2017-07-19 Marko Žnidarič , Juan Jose Mendoza-Arenas , Stephen R. Clark , John Goold

We revisit the so-called folded XXZ model, which was treated earlier by two independent research groups. We argue that this spin-1/2 chain is one of the simplest quantum integrable models, yet it has quite remarkable physical properties.…

Statistical Mechanics · Physics 2021-10-13 Balázs Pozsgay , Tamás Gombor , Arthur Hutsalyuk , Yunfeng Jiang , Levente Pristyák , Eric Vernier

We show that in a nonintegrable spin ladder system with the XX type of coupling along the legs and the XXZ type along the rungs there are invariant subspaces that support ballistic magnetization transport. In the complementary subspace the…

Strongly Correlated Electrons · Physics 2013-02-26 Marko Znidaric

We present new integrable models of interacting spin-1/2 chains, which can be interpreted as hard rod deformations of the XXZ Heisenberg chains. The models support multiple particle types: dynamical hard rods of length $\ell$ and particles…

Statistical Mechanics · Physics 2022-01-05 Balázs Pozsgay , Tamás Gombor , Arthur Hutsalyuk

We study ballistic thermal transport in Heisenberg spin chain with nearest-neighbor ferromagnetic interactions at low temperatures. Explicit expressions for transmission coefficients are derived for thermal transport in a periodic spin…

Statistical Mechanics · Physics 2008-10-16 Lifa Zhang , Jian-Sheng Wang , Baowen Li

Inelastic transport of electrons through a two-impurity chain is studied theoretically with account of intersite Coulomb interaction, U. Both limits of ohmic transport (at low bias) and strongly non-ohmic transport (at high bias) are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. D. Ballard , M. E. Raikh

The late-time dynamics of quantum many-body systems is organized in distinct dynamical universality classes, characterized by their conservation laws and thus by their emergent hydrodynamic transport. Here, we study transport in the…

Quantum Gases · Physics 2022-08-30 Philip Zechmann , Alvise Bastianello , Michael Knap

We investigate the Heisenberg XXZ-chain with long-range interactions in the Z-dimension. By applying two magnetic boundary reservoirs we drive the system out of equilibrium and induce a non-zero steady state current. The long-range coupled…

Strongly Correlated Electrons · Physics 2017-11-22 Leon Droenner , Alexander Carmele

The transport of excitation probabilities amongst weakly coupled subunits is investigated for a class of finite quantum systems. It is demonstrated that the dynamical behavior of the transported quantity depends on the considered length…

Statistical Mechanics · Physics 2007-10-09 Robin Steinigeweg , Heinz-Peter Breuer , Jochen Gemmer