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The interplay between interaction, disorder, and dissipation has shown a rich phenomenology. Here we investigate a disordered XXZ spin chain in contact with a bath which, alone, would drive the system towards a highly delocalized and…

Disordered Systems and Neural Networks · Physics 2021-04-01 Xiansong Xu , Dario Poletti

Out-of-time-ordered correlators (OTOC) have been extensively used as a major tool for exploring quantum chaos and also recently, there has been a classical analogue. Studies have been limited to closed systems. In this work, we probe an…

Statistical Mechanics · Physics 2020-11-11 Amit Kumar Chatterjee , Anupam Kundu , Manas Kulkarni

We numerically study spin transport and nonequilibrium spin-density profiles in a clean one-dimensional spin-chain with long-range interactions, decaying as a power-law,$r^{-\alpha}$ with distance. We find two distinct regimes of transport:…

Disordered Systems and Neural Networks · Physics 2019-03-27 Benedikt Kloss , Yevgeny Bar Lev

We investigate the dynamics of a critical XXZ spin-1/2 chain prepared in an inhomogeneous initial state with different magnetizations on the left and right halves. We simulate the real-time evolution using the time-evolving block decimation…

Strongly Correlated Electrons · Physics 2013-12-16 Thiago Sabetta , Grégoire Misguich

Understanding the transport properties of quantum many-body systems is a central challenge in condensed matter and statistical physics. Theoretical studies usually rely on two main approaches: Dynamics of linear-response functions in closed…

Statistical Mechanics · Physics 2026-02-24 Mariel Kempa , Markus Kraft , Sourav Nandy , Jacek Herbrych , Jiaozi Wang , Jochen Gemmer , Robin Steinigeweg

State-of-the-art approaches to extract transport coefficients of many-body quantum systems broadly fall into two categories: (i) they target the linear-response regime in terms of equilibrium correlation functions of the closed system; or…

Using quantum Monte Carlo, we study the non-equilibrium transport of magnetization in large open strongly correlated quantum spin $\frac{1}{2}$ systems driven by purely dissipative processes that conserve the uniform or staggered…

Strongly Correlated Electrons · Physics 2015-09-18 Debasish Banerjee , Florian Hebenstreit , Fu-Jiun Jiang , Uwe-Jens Wiese

We study spin transport of the XXZ model with next-nearest neighbor $\Delta_2$ terms. We compute numerically dependence of spin conductivity $\sigma(\omega)$ on the anisotropy $\Delta$ and the ratio $r= \Delta_2/\Delta$, in the large…

Strongly Correlated Electrons · Physics 2025-04-29 Zhi-Hua Li

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…

Statistical Mechanics · Physics 2009-11-03 Robin Steinigeweg , Jochen Gemmer

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 spin transport in a boundary driven XXZ spin chain. Driving at the chain boundaries is modeled by two additional spin chains prepared in oppositely polarized states. Emergent behavior, both in the transient dynamics and in the…

Quantum Physics · Physics 2017-12-21 Eduardo Mascarenhas , Giacomo Giudice , Vincenzo Savona

Understanding the physics of the integrable spin-1/2 XXZ chain has witnessed substantial progress, due to the development and application of sophisticated analytical and numerical techniques. In particular, infinite-temperature…

Statistical Mechanics · Physics 2025-08-08 Markus Kraft , Mariel Kempa , Jiaozi Wang , Sourav Nandy , Robin Steinigeweg

After almost half a century since the work of Anderson [Phys. Rev. {\bf 109}, 1492 (1958)], at present there is no well established theoretical framework for understanding the dynamics of interacting particles in the presence of disorder.…

Quantum Gases · Physics 2010-12-01 S. G. Bhongale , Paata Kakashvili , C. J. Bolech , H. Pu

We investigate the transport of excitations through a chain of atoms with non-local dissipation introduced through coupling to additional short-lived states. The system is described by an effective spin-1/2 model where the ratio of the…

Atomic Physics · Physics 2015-09-02 H. Schempp , G. Günter , S. Wüster , M. Weidemüller , S. Whitlock

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…

Strongly Correlated Electrons · Physics 2017-08-23 Andrea De Luca , Mario Collura , Jacopo De Nardis

We study the transport and equilibration properties of a classical Heisenberg chain, whose couplings are random variables drawn from a one-parameter family of power-law distributions. The absence of a scale in the couplings makes the system…

Statistical Mechanics · Physics 2023-10-09 Adam J. McRoberts , Federico Balducci , Roderich Moessner , Antonello Scardicchio

Studying the real-time dynamics of strongly correlated systems poses significant challenges, which have recently become more manageable thanks to advances in density matrix renormalization group (DMRG) and tensor network methods. A notable…

Strongly Correlated Electrons · Physics 2025-05-19 Jeong Hyeok Cha , Hyun-Yong Lee , Heung-Sik Kim

We study a model of free fermions on a chain with dynamics generated by random unitary gates acting on nearest neighbor bonds and present an exact calculation of time-ordered and out-of-time-ordered correlators. We consider three distinct…

Strongly Correlated Electrons · Physics 2021-02-22 Beatriz C. Dias , Masudul Haque , Pedro Ribeiro , Paul McClarty

We revisit the out-of-equilibrium physics arising during the unitary evolution of a one-dimensional XXZ spin chain initially prepared in a domain wall state $\vert\psi_0\rangle=\vert\dots \uparrow\uparrow\downarrow\downarrow\dots\rangle$.…

Statistical Mechanics · Physics 2023-09-27 Stefano Scopa , Dragi Karevski

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…

Statistical Mechanics · Physics 2017-07-14 Marko Ljubotina , Marko Znidaric , Tomaz Prosen