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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 conjecture that non-equilibrium boundary conditions generically trigger long range order in non-equilibrium steady states of locally interacting quantum chains. Our result is based on large scale density matrix renormalization group…

Statistical Mechanics · Physics 2010-08-11 Tomaz Prosen , Marko Znidaric

Time-dependent density matrix renormalization group method with a matrix product ansatz is employed for explicit computation of non-equilibrium steady state density operators of several integrable and non-integrable quantum spin chains,…

Quantum Physics · Physics 2012-03-06 Tomaz Prosen , Marko Znidaric

We consider the open XYZ spin chain with boundary fields. We solve the model by the new Separation of Variables approach introduced in arXiv:1904.00852. In this framework, the transfer matrix eigenstates are obtained as a particular…

Mathematical Physics · Physics 2025-10-15 G. Niccoli , V. Terras

The transfer matrix of the XXZ open spin-1/2 chain with general integrable boundary conditions and generic anisotropy parameter (q is not a root of unity and |q|=1) is diagonalized using the representation theory of the q-Onsager algebra.…

High Energy Physics - Theory · Physics 2015-06-26 P. Baseilhac , K. Koizumi

Spin helix states-characterized by their spatially modulated spin textures-are exact eigenstates of the one-dimensional anisotropic spin-$\frac{1}{2}$ Heisenberg model under specific parameter conditions. In this work, we extend this…

Mathematical Physics · Physics 2025-07-23 Mingchen Zheng , Chenguang Liang , Shu Chen , Xin Zhang

We derive an exact solution for the steady state of a setup where two $XX$-coupled $N$-qubit spin chains (with possibly non-uniform couplings) are subject to boundary Rabi drives, and common boundary loss generated by a waveguide (either…

The Lindblad quantum master equation is one of the central approaches to the physics of open quantum systems. In particular, boundary driving enables the study of transport, where a steady state emerges in the long-time limit, which…

Statistical Mechanics · Physics 2025-02-20 Markus Kraft , Mariel Kempa , Jiaozi Wang , Robin Steinigeweg

A Bethe Ansatz solution of the open spin-1/2 XXZ quantum spin chain with nondiagonal boundary terms has recently been proposed. Using a numerical procedure developed by McCoy et al., we find significant evidence that this solution can yield…

High Energy Physics - Theory · Physics 2008-11-26 Rafael I. Nepomechie , Francesco Ravanini

The off-diagonal Bethe ansatz method is generalized to the high spin integrable systems associated with the su(2) algebra by employing the spin-s isotropic Heisenberg chain model with generic integrable boundaries as an example. With the…

Statistical Mechanics · Physics 2015-06-19 Junpeng Cao , Shuai Cui , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We investigate integrable boundary states in the anisotropic Heisenberg chain under periodic or twisted boundary conditions, for both even and odd system lengths. Our work demonstrates that the concept of integrable boundary states can be…

High Energy Physics - Theory · Physics 2026-01-26 Xin Qian , Xin Zhang

The half-infinite XXZ open spin chain with general integrable boundary conditions is considered within the recently developed `Onsager's approach'. Inspired by the finite size case, for any type of integrable boundary conditions it is shown…

Mathematical Physics · Physics 2015-06-12 P. Baseilhac , S. Belliard

In our previous paper [1] we have obtained, for the XXX spin-1/2 Heisenberg open chain, new determinant representations for the scalar products of separate states in the quantum separation of variables (SoV) framework. In this article we…

Mathematical Physics · Physics 2018-11-14 N. Kitanine , J. M. Maillet , G. Niccoli , V. Terras

The open XXZ spin chain with the anisotropy parameter $\Delta=-\frac12$ and diagonal boundary magnetic fields that depend on a parameter $x$ is studied. For real $x>0$, the exact finite-size ground-state eigenvalue of the spin-chain…

Mathematical Physics · Physics 2022-03-28 Christian Hagendorf , Jean Liénardy

In this paper we investigate the spin currents and the von Neumann entropy (VNE) of an Heisenberg XXZ chain in contact with twisted XY-boundary magnetic reservoirs by means of the Lindblad master equation. Exact solutions for the stationary…

Statistical Mechanics · Physics 2015-06-12 Mario Salerno , Vladislav Popkov

We consider a finite one-dimensional Heisenberg XYZ spin chain under the influence of dissipative Lindblad environment obeying the Born-Markovian constrain in presence of an external magnetic field. We apply both closed and open boundary…

Quantum Physics · Physics 2016-08-03 Gehad Sadiek , Samaher Almalki

A variational ansatz for momentum eigenstates of translation invariant quantum spin chains is formulated. The matrix product state ansatz works directly in the thermodynamic limit and allows for an efficient implementation (cubic scaling in…

We investigate an open $XYZ$ spin $1/2$ chain driven out of equilibrium by boundary reservoirs targeting different spin orientations, aligned along the principal axes of anisotropy. We show that by tuning local magnetic fields, applied to…

Statistical Mechanics · Physics 2015-06-23 Vladislav Popkov , Mario Salerno , Roberto Livi

Using the Lindblad equation approach, we derive the range of the parameters of an interacting one-dimensional electronic chain connected to two reservoirs in the large bias limit in which an optimal working point (corresponding to a change…

Strongly Correlated Electrons · Physics 2021-03-23 Andrea Nava , Marco Rossi , Domenico Giuliano

We present an explicit construction of a family of steady state density matrices for an open integrable spin-1 chain with bilinear and biquadratic interactions, also known as the Lai-Sutherland model, driven far from equilibrium by means of…

Quantum Physics · Physics 2014-04-22 Enej Ilievski , Tomaz Prosen