Deterministic exclusion process with a stochastic defect: Matrix-product ground states

被引:23
|
作者
Hinrichsen, H
Sandow, S
机构
[1] VIRGINIA POLYTECH INST & STATE UNIV,DEPT PHYS,BLACKSBURG,VA 24061
[2] VIRGINIA POLYTECH INST & STATE UNIV,CTR STOCHAST PROC SCI & ENGN,BLACKSBURG,VA 24061
来源
关键词
OPEN BOUNDARIES; BLOCKAGE; SYSTEM; MODEL;
D O I
10.1088/0305-4470/30/8/020
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study a one-dimensional anisotropic exclusion model describing particles moving deterministically on a ring with a single defect, across which they move with probability 0 < q < 1. We show that the stationary state of this model can be represented as a matrix-product state.
引用
收藏
页码:2745 / 2756
页数:12
相关论文
共 50 条
  • [21] Continuous matrix-product states in inhomogeneous systems with long-range interactions
    Lukin, I., V
    Sotnikov, A. G.
    PHYSICAL REVIEW B, 2022, 106 (14)
  • [22] Matrix-product states for a one-dimensional lattice gas with parallel dynamics
    Honecker, A
    Peschel, I
    JOURNAL OF STATISTICAL PHYSICS, 1997, 88 (1-2) : 319 - 345
  • [23] Efficient construction of matrix-product representations of many-body Gaussian states
    Nuesseler, Alexander
    Dhand, Ish
    Huelga, Susana F.
    Plenio, Martin B.
    PHYSICAL REVIEW A, 2021, 104 (01)
  • [24] Matrix product states represent ground states faithfully
    Verstraete, F
    Cirac, JI
    PHYSICAL REVIEW B, 2006, 73 (09)
  • [25] Characterizing Matrix-Product States and Projected Entangled-Pair States Preparable via Measurement and Feedback
    Zhang, Yifan
    Gopalakrishnan, Sarang
    Styliaris, Georgios
    PRX QUANTUM, 2024, 5 (04):
  • [26] Exact matrix-product states for parallel dynamics: open boundaries and excess mass on the ring
    Woelki, Marko
    Schreckenberg, Michael
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2009,
  • [27] Matrix Product States for Quantum Stochastic Modeling
    Yang, Chengran
    Binder, Felix C.
    Narasimhachar, Varun
    Gu, Mile
    PHYSICAL REVIEW LETTERS, 2018, 121 (26)
  • [28] Classification of matrix-product ground states corresponding to one-dimensional chains of two-state sites of nearest neighbor interactions
    Fatollahi, Amir H.
    Khorrami, Mohammad
    Shariati, Ahmad
    Aghamohammadi, Amir
    PHYSICAL REVIEW A, 2011, 83 (04):
  • [29] VARIATIONAL STUDY OF ISOTROPIC SPIN-1 CHAINS USING MATRIX-PRODUCT STATES
    SCHADSCHNEIDER, A
    ZITTARTZ, J
    ANNALEN DER PHYSIK, 1995, 4 (02) : 157 - 163
  • [30] The matrix product solution of the multispecies partially asymmetric exclusion process
    Prolhac, S.
    Evans, M. R.
    Mallick, K.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (16)