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Related papers: Boundary driven $XYZ$ chain: Exact inhomogeneous t…

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We calculate a nonequilibrium steady state of a quantum XX chain in the presence of dephasing and driving due to baths at chain ends. The obtained state is exact in the limit of weak driving while the expressions for one- and two-point…

Statistical Mechanics · Physics 2012-03-06 Marko Znidaric

The power of matrix product states to describe infinite-size translational-invariant critical spin chains is investigated. At criticality, the accuracy with which they describe ground state properties of a system is limited by the size…

Statistical Mechanics · Physics 2008-09-19 L. Tagliacozzo , Thiago. R. de Oliveira , S. Iblisdir , J. I. Latorre

Finite pieces of locally isostatic networks have a large number of floppy modes because of missing constraints at the surface. Here we show that by imposing suitable boundary conditions at the surface, the network can be rendered…

Disordered Systems and Neural Networks · Physics 2017-11-15 Louis Theran , Anthony Nixon , Elissa Ross , Mahdi Sadjadi , Brigitte Servatius , M. F. Thorpe

The trigonometric su(n) spin chain with anti-periodic boundary condition (su(n) spin torus) is demonstrated to be Yang-Baxter integrable. Based on some intrinsic properties of the R-matrix, certain operator product identities of the…

Mathematical Physics · Physics 2016-08-18 Kun Hao , Junpeng Cao , Guang-Liang Li , Wen-Li Yang , Kangjie Shi , Yupeng Wang

Based on the inhomogeneous T-Q relation constructed via the off-diagonal Bethe Ansatz, the Bethe-type eigenstates of the XXZ spin-1/2 chain with arbitrary boundary fields are constructed. It is found that by employing two sets of gauge…

Mathematical Physics · Physics 2015-05-20 Xin Zhang , Yuan-Yuan Li , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

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

The hamiltonian of an asymmetric diffusion process with injection and ejection of particles at the ends of a chain of finite length is known to be relevant to that of the spin-1/2 XXZ chain with integrable boundary terms. However, the…

Statistical Mechanics · Physics 2007-05-23 M. T. Batchelor

Explicit solution for the 2-point correlation function in a non-equilibrium steady state of a nearly isotropic boundary-driven open XY spin 1/2 chain in the Lindblad formulation is provided. A non-equilibrium quantum phase transition from…

Statistical Mechanics · Physics 2014-11-21 Bojan Zunkovic , Tomaz Prosen

Given a finite rhombus tiling of a polygonal region in the plane, the associated critical $Z$-invariant Ising model is invariant under star-triangle transformations. We give a simple matrix formula describing spin correlations between…

Mathematical Physics · Physics 2021-08-17 Pavel Galashin

We study inhomogeneous continuous-time weakly ergodic Markov chains with a finite state space. We introduce the notion of a Markov chain with the regular structure of an infinitesimal matrix and study the sharp upper bounds on the rate of…

Probability · Mathematics 2020-02-17 A. I. Zeifman , Y. A. Satin , K. M. Kiseleva

Recently Prosen and Mej\'ia-Monasterio (J. Phys. A: Math. Theor. 49 (2016) 185003) obtained exact nonequilibrium steady states of an integrable and reversible cellular automaton driven by some stochastic boundary conditions. In this paper,…

Statistical Mechanics · Physics 2018-09-26 Atsuo Inoue , Shinji Takesue

We investigate the exact overlaps between eigenstates of integrable spin chains and a special class of states called "integrable initial/final states". These states satisfy a special integrability constraint, and they are closely related to…

Statistical Mechanics · Physics 2021-05-05 Tamás Gombor , Balázs Pozsgay

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

A mixed Ising-Heisenberg spin system consisting of triangular XXZ-Heisenberg spin clusters assembled into a chain by alternating with Ising spins interacting to all three spins in the triangle is considered. The exact solution of the model…

Statistical Mechanics · Physics 2009-11-13 Diana Antonosyan , Stefano Bellucci , Vadim Ohanyan

The critical behavior associated with a transverse magnetic field applied at the edge of a semi-infinite xxz S=1/2 chain is calculated using field theory techniques. Contrary to a recent claim, we find that the long-time behavior is given…

Strongly Correlated Electrons · Physics 2009-10-30 Ian Affleck

We exploit the inherent entanglement of the ground state of a spin chain with dimerized XX or XXZ Hamiltonian to investigate the entanglement generation between the ends of the chain. We follow the strategy has been introduced in Ref. [14]…

Quantum Physics · Physics 2016-04-12 Morteza Rafiee , Hossein Mokhtari

We derive temporally shaped control pulses for the creation of long-distance entanglement in disordered spin chains. Our approach is based on a time-dependent target functional and a time-local control strategy that permits to ensure that…

Quantum Physics · Physics 2015-09-23 Jian Cui , Florian Mintert

The exact solutions of the $D^{(1)}_3$ model (or the $so(6)$ quantum spin chain) with either periodic or general integrable open boundary conditions are obtained by using the off-diagonal Bethe Ansatz. From the fusion, the complete operator…

Mathematical Physics · Physics 2022-12-27 Guang-Liang Li , Junpeng Cao , Panpan Xue , Kun Hao , Pei Sun , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We study the thermodynamic limit of the anisotropic XYZ spin chain with non-diagonal integrable open boundary conditions. Although the $U(1)$-symmetry is broken, by using the new parametrization scheme, we exactly obtain the surface energy…

Mathematical Physics · Physics 2024-10-16 Zhirong Xin , Junpeng Cao , Wen-Li Yang , Yupeng Wang

The exact solution of the asymmetric exclusion problem and several of its generalizations is obtained by a matrix product {\it ansatz}. Due to the similarity of the master equation and the Schr\"odinger equation at imaginary times the…

Statistical Mechanics · Physics 2015-06-25 Francisco C Alcaraz , M J Lazo
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