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Quantum degenerate gases trapped in optical lattices are ideal testbeds for fundamental physics because these systems are tunable, well characterized, and isolated from the environment. Controlled disorder can be introduced to explore…

量子气体 · 物理学 2015-12-09 V. W. Scarola , B. DeMarco

Many low-dimensional materials are well described by integrable one-dimensional models such as the Hubbard model of electrons or the Heisenberg model of spins. However, the small perturbations to these models required to describe real…

强关联电子 · 物理学 2013-10-02 Y. Huang , C. Karrasch , J. E. Moore

Many experimentally relevant quantum spin chains are approximately integrable, and support long-lived quasiparticle excitations. A canonical example of integrable model of quantum magnetism is the XXZ spin chain, for which energy spreads…

强关联电子 · 物理学 2023-02-03 Sarang Gopalakrishnan , Romain Vasseur

We consider the non-equilibrium time evolution of piecewise homogeneous states in the XXZ spin-1/2 chain, a paradigmatic example of an interacting integrable model. The initial state can be thought as the result of joining chains with…

统计力学 · 物理学 2016-11-28 Bruno Bertini , Mario Collura , Jacopo De Nardis , Maurizio Fagotti

A recent work [Mierzejewski et al., Phys. Rev. B 107, 045134 (2023)] observed "quasiballistic spin transport" - long-lived and transiently ballistic modes of the magnetization density - in numerical simulations of infinite-temperature XXZ…

统计力学 · 物理学 2025-12-15 Jeffrey Z. Song , Hyunsoo Ha , Wen Wei Ho , Vir B. Bulchandani

We investigate transport in several translationally invariant spin-1/2 chains in the limit of high temperatures. We concretely consider spin transport in the anisotropic Heisenberg chain, the pure Heisenberg chain within an alternating…

统计力学 · 物理学 2009-11-03 Robin Steinigeweg , Jochen Gemmer

In this Chapter, we present recent theoretical developments on the finite temperature transport of one dimensional electronic and magnetic quantum systems as described by a variety of prototype models. In particular, we discuss the…

强关联电子 · 物理学 2007-05-23 X. Zotos , P. Prelovsek

It is known that quantum transport of non-interacting Bose particles across the tight-binding chain is ballistic in the sense that the current does not depend on the chain length. We address the question whether the transport of strongly…

其他凝聚态物理 · 物理学 2022-12-21 P. S. Muraev , D. N. Maksimov , A. R. Kolovsky

We construct exact steady states of unitary non-equilibrium time evolution in the gapless XXZ spin-1/2 chain where integrability preserves ballistic spin transport at long-times. We characterize the quasi-local conserved quantities…

强关联电子 · 物理学 2017-08-23 Andrea De Luca , Mario Collura , Jacopo De Nardis

We study transport in the one-dimensional mass-imbalanced Fermi-Hubbard model at infinite temperature, focusing on the case of strong interactions. Prior theoretical and experimental investigations have revealed unconventionally long…

量子气体 · 物理学 2024-06-03 Thomas G. Kiely , Erich J. Mueller

We present numerical results for the spin and thermal conductivity of one-dimensional (1D) quantum spin systems. We contrast the properties of integrable models such as the spin-1/2 XXZ chain against nonintegrable ones such as frustrated…

强关联电子 · 物理学 2008-01-09 F. Heidrich-Meisner , A. Honecker , W. Brenig

A unified theoretical description of ballistic and diffusive carrier transport in parallel-plane semiconductor structures is developed within the semiclassical model. The approach is based on the introduction of a thermo-ballistic current…

材料科学 · 物理学 2009-11-10 R. Lipperheide , U. Wille

We study a Yang-Baxter integrable quantum spin-1/2 chain with random interactions. The Hamiltonian is local and involves two and three-spin interactions with random parameters. We show that the energy eigenstates of the model are never…

无序系统与神经网络 · 物理学 2018-09-27 Fabian H. L. Essler , Rianne van den Berg , Vladimir Gritsev

Simple models of interacting spins play an important role in physics. They capture the properties of many magnetic materials, but also extend to other systems, such as bosons and fermions in a lattice, systems with gauge fields, high-Tc…

Transport properties are among the defining characteristics of many important phases in condensed matter physics. In the presence of strong correlations they are difficult to predict even for model systems like the Hubbard model. In real…

We study the energy transport in a system of two half-infinite XXZ chains initially kept separated at different temperatures, and later connected and let free to evolve unitarily. By changing independently the parameters of the two halves,…

统计力学 · 物理学 2016-06-01 Alberto Biella , Andrea De Luca , Jacopo Viti , Davide Rossini , Leonardo Mazza , Rosario Fazio

Generalised hydrodynamics predicts universal ballistic transport in integrable lattice systems when prepared in generic inhomogeneous initial states. However, the ballistic contribution to transport can vanish in systems with additional…

统计力学 · 物理学 2017-07-14 Marko Ljubotina , Marko Znidaric , Tomaz Prosen

Using a numerically exact technique we study spin transport and the evolution of spin-density excitation profiles in a disordered spin-chain with long-range interactions, decaying as a power-law, $r^{-\alpha}$ with distance and $\alpha<2$.…

无序系统与神经网络 · 物理学 2020-09-02 Benedikt Kloss , Yevgeny Bar Lev

We study transport in spin chains employing the Thouless approach based on the level sensitivity to the boundary conditions, $R$. Although spin transport in the integrable easy-axis XXZ model is diffusive, corresponding $R$ is much closer…

强关联电子 · 物理学 2025-05-27 J. Pawlowski , M. Mierzejewski , P. Prelovsek

Whether in the thermodynamic limit of lattice length infinite, hole concentration tending to zero, nonzero temperature, and U/t > 0 the charge stiffness of the 1D Hubbard model with first neighbor transfer integral t and on-site repulsion U…

强关联电子 · 物理学 2018-04-18 J. M. P. Carmelo , S. Nemati , T. Prosen