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相关论文: Exact NESS of XXZ circuits boundary driven with ar…

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We obtain the exact many-body density operator of a boundary-driven XXZ quantum circuit via a spatially inhomogeneous matrix product Ansatz. The Ansatz has formally infinite bond-dimension and generalizes authors' previous construction…

量子物理 · 物理学 2026-05-19 Xin Zhang , Tomaz Prosen , Vladislav Popkov

We construct an explicit matrix product ansatz for the steady state of a boundary driven $XY\!Z$ spin-$\tfrac{1}{2}$ chain for arbitrary local polarizing channels at the chain's ends. The ansatz, where the Lax operators are written…

统计力学 · 物理学 2022-06-22 Vladislav Popkov , Xin Zhang , Tomaz Prosen

We demonstrate that the exact non-equilibrium steady state of the one-dimensional Heisenberg XXZ spin chain driven by boundary Lindblad operators can be constructed explicitly with a matrix product ansatz for the non-equilibrium density…

统计力学 · 物理学 2015-06-12 D. Karevski , V. Popkov , G. M. Schütz

In this short note we provide two extensions on the recent explicit results on the matrix-product ansatz for the non-equilibrium steady state of a markovianly boundary-driven anisotropic Heisenberg XXZ spin 1/2 chain. We write a…

统计力学 · 物理学 2013-09-05 Tomaz Prosen

We investigate the nonequilibrium steady state (NESS) in an open quantum XXZ chain with strong $XY$ plane boundary polarization gradient. Using the general theory developed in [1], we show that in the critical $XXZ$ $|\Delta|<1$ easy plane…

量子物理 · 物理学 2017-09-27 Vladislav Popkov , Johannes Schmidt , Carlo Presilla

We find that the density operator of non-equilibrium steady state (NESS) of XXZ spin chain with strong ``sink and source" boundary dissipation, can be described in terms of quasiparticles, with renormalized -- dissipatively dressed --…

统计力学 · 物理学 2025-12-08 Vladislav Popkov , Xin Zhang , Carlo Presilla , Tomaz Prosen

In this minireview we will discuss recent progress in the analytical study of current-carrying non-equilibrium steady states (NESS) that can be constructed in terms of a matrix product ansatz. We will focus on one-dimensional exactly…

统计力学 · 物理学 2018-10-17 Berislav Buča , Tomaž Prosen

We study nonequilibrium steady states (NESSs) in the weakly-coupled XXZ model in contact with two heat baths at different temperatures. We show that the density matrix can be represented using only projection operators specified by the…

统计力学 · 物理学 2024-09-24 Shimpei Senda , Tatsuro Sunami , Yuto Matsumoto , Ayumu Sugita

We find novel site-dependent Lax operators in terms of which we demonstrate exact solvability of a dissipatively driven XYZ spin-1/2 chain in the Zeno limit of strong dissipation, with jump operators polarizing the boundary spins in…

统计力学 · 物理学 2020-04-22 Vladislav Popkov , Tomaž Prosen , Lenart Zadnik

We study the out-of-equilibrium dynamics of the quantum cellular automaton Rule 54 using a time-channel approach. We exhibit a family of (non-equilibrium) product states for which we are able to describe exactly the full relaxation…

统计力学 · 物理学 2021-12-22 Katja Klobas , Bruno Bertini

The spin 1/2 XXZ chain driven out of equilibrium by coupling with boundary reservoirs targeting perpendicular spin orientations in XY plane, is investigated. The existence of an anomaly in the nonequilibrium steady state (NESS) at the…

统计力学 · 物理学 2015-06-12 Vladislav Popkov , Mario Salerno

We investigate a dissipatively driven XYZ spin-1/2 chain in the Zeno limit of strong dissipation, described by Lindblad master equation. The nonequilibrium steady state is expressed in terms of a matrix product ansatz using novel…

统计力学 · 物理学 2020-04-22 Vladislav Popkov , Tomaž Prosen , Lenart Zadnik

The nonequilibrium steady state (NESS) of integrable spin chains experiencing strong boundary dissipation is accounted by introducing quasiparticles with a renormalized -- dissipatively dressed -- dispersion relation. This allows us to…

统计力学 · 物理学 2025-05-23 Vladislav Popkov , Xin Zhang , Carlo Presilla , Tomaž Prosen

We construct the nonequilibrium steady state (NESS) density operator of the spin-1/2 XXZ chain with non-diagonal boundary magnetic fields coupled to boundary dissipators. The Markovian boundary dis- sipation is found with which the NESS…

统计力学 · 物理学 2017-09-13 Chihiro Matsui , Tomaz Prosen

We find an exact nonequilibrium steady state of an open dissipatively driven XXZ spin-1/2 chain with source or sink spin bath at one end and an arbitrary boundary field at the other end.

统计力学 · 物理学 2026-04-20 V. Popkov , T. Prosen

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…

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-$1/2$…

统计力学 · 物理学 2024-10-07 Leonardo Biagetti , Vincenzo Alba

The open spin $s$ XXZ model with non-diagonal boundaries is considered. Within the algebraic Bethe ansatz framework and in the spirit of earlier works we derive suitable reference states. The derivation of the reference state is the crucial…

高能物理 - 理论 · 物理学 2008-11-26 Anastasia Doikou

Electron transport through a strongly correlated quantum dot (QD) embedded in an Aharonov-Bohm (AB) ring is investigated with the aid of the finite-U slave-boson mean-field (SBMF) approach extended to nonequilibrium regime. A nonequilibrium…

介观与纳米尺度物理 · 物理学 2009-11-11 Junko Takahashi , Shuichi Tasaki

We construct exact strong zero mode operators (ESZM) in integrable quantum circuits and the spin-1/2 XXZ chain for general open boundary conditions, which break the bulk U(1) symmetry of the time evolution operators. We show that the ESZM…

统计力学 · 物理学 2026-05-27 Sascha Gehrmann , Fabian H. L. Essler
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