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We study the charge conductivity in one-dimensional prototype models of interacting particles, such as the Hubbard and the t-V spinless fermion model, when coupled to some external baths injecting and extracting particles at the boundaries.…

Strongly Correlated Electrons · Physics 2009-07-09 Giuliano Benenti , Giulio Casati , Tomaz Prosen , Davide Rossini , Marko Znidaric

In this work we study the treatment of asymmetric open quantum systems with neural networks based on the restricted Boltzmann machine. In particular, we are interested in the non-equilibrium steady state current in the boundary-driven…

Quantum Physics · Physics 2023-05-10 Johannes Mellak , Enrico Arrigoni , Thomas Pock , Wolfgang von der Linden

Integrable systems possess stable families of quasiparticles, which are composite objects (bound states) of elementary excitations. Motivated by recent quantum computer experiments, we investigate bound-state transport in the spin-$1/2$…

Statistical Mechanics · Physics 2024-10-07 Leonardo Biagetti , Vincenzo Alba

We analyze transport of local magnetization and develop schemes to control transport behavior in finite spin-1/2 Heisenberg chains and spin-1/2 Heisenberg two-leg ladders at zero temperature. By adjusting parameters in the Hamiltonians,…

Statistical Mechanics · Physics 2009-11-13 L. F. Santos

We study the energy transport between two interacting spin chains which are initially separated, held at different temperatures and subsequently put in contact. We consider the spin-1/2 XXZ model in the gapless regime and exploit its…

Statistical Mechanics · Physics 2014-10-15 Andrea De Luca , Jacopo Viti , Leonardo Mazza , Davide Rossini

We investigate the role of momentum for the transport of magnetization in the spin-1/2 Heisenberg chain above the isotropic point at finite temperature and momentum. Using numerical and analytical approaches, we analyze the autocorrelations…

Strongly Correlated Electrons · Physics 2011-12-20 Robin Steinigeweg , Wolfram Brenig

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

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…

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…

Statistical Mechanics · Physics 2016-11-28 Bruno Bertini , Mario Collura , Jacopo De Nardis , Maurizio Fagotti

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

Using quantization in the Fock space of operators we compute the non-equilibrium steady state in an open Heisenberg XY spin 1/2 chain of finite but large size coupled to Markovian baths at its ends. Numerical and theoretical evidence is…

Quantum Physics · Physics 2008-10-01 Tomaz Prosen , Iztok Pizorn

We study the spin transport in the quantum Heisenberg spin chain subject to boundary magnetic fields and driven out of equilibrium by Lindblad dissipators. An exact solution is given in terms of matrix product states, which allows us to…

Quantum Physics · Physics 2015-06-30 Gabriel T. Landi , Dragi Karevski

We study the dynamics of a Heisenberg-XY spin chain with an unknown state coded into one qubit or a pair of entangled qubits, with the rest of the spins being in a polarized state. The time evolution involves magnon excitations, and through…

Quantum Physics · Physics 2009-11-10 V. Subrahmanyam

We consider the nonequilibrium protocol where two semi-infinite gapped XXZ chains, initially prepared in different equilibrium states, are suddenly joint together. At large times, a generalized hydrodynamic description applies, according to…

Statistical Mechanics · Physics 2017-09-15 Lorenzo Piroli , Jacopo De Nardis , Mario Collura , Bruno Bertini , Maurizio Fagotti

We show that, when a finite anisotropic Heisenberg spin-1/2 chain in the gapped regime is driven far from equilibrium, oppositely polarized ferromagnetic domains build up at the edges of the chain, thus suppressing quantum spin transport.…

Strongly Correlated Electrons · Physics 2009-02-03 Giuliano Benenti , Giulio Casati , Tomaz Prosen , Davide Rossini

We study quantum transport properties of an open Heisenberg XXZ spin 1/2 chain driven by a pair of Lindblad jump operators satisfying a global `microcanonical' constraint, i.e. conserving the total magnetization. We will show that this…

Quantum Physics · Physics 2012-08-10 Berislav Buca , Tomaz Prosen

We study high temperature spin transport in a disordered Heisenberg chain in the ergodic regime. By employing a density matrix renormalization group technique for the study of the stationary states of the boundary-driven Lindblad equation…

Disordered Systems and Neural Networks · Physics 2016-07-27 Marko Znidaric , Antonello Scardicchio , Vipin Kerala Varma

We investigate an open XXZ spin 1/2 chain driven out of equilibrium by coupling with boundary reservoirs targeting different spin orientations in XY plane. Symmetries of the model are revealed which appear to be different for spin chains of…

Statistical Mechanics · Physics 2015-06-11 V. Popkov

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 ballistic transport in integrable lattice models, i.e., the spin XXZ and Hubbard chains, close to the noninteracting limit. The stiffnesses of spin and charge currents reveal, at high temperatures, a discontinuous reduction…

Strongly Correlated Electrons · Physics 2021-06-18 M. Mierzejewski , J. Herbrych , P. Prelovsek