English

Quantum Ising chain with boundary dephasing

Statistical Mechanics 2021-05-27 v2 Strongly Correlated Electrons Quantum Physics

Abstract

We study the quantum Ising chain with boundary dephasing. By doubling the Hilbert space, the model is mapped to the Su-Schrieffer-Heeger model with imaginary chemical potential at the edges. We show analytically and numerically that the Liouvillian gap, i.e., the inverse relaxation time of the model, scales with the system size N N as N3 N^{-3} .

Keywords

Cite

@article{arxiv.2006.00746,
  title  = {Quantum Ising chain with boundary dephasing},
  author = {Naoyuki Shibata and Hosho Katsura},
  journal= {arXiv preprint arXiv:2006.00746},
  year   = {2021}
}

Comments

11 pages, 5 figures

R2 v1 2026-06-23T15:57:11.846Z