Dissipative quantum Ising chain as a non-Hermitian Ashkin-Teller model

Article

关键词: BETHE-ANSATZ;    OPERATOR CONTENT;    PHASE-DIAGRAM;    DRIVEN;   

DOI  :  10.1103/PhysRevB.99.224432

来源: SCIE

【 摘 要 】

We study a quantum Ising chain with tailored bulk dissipation, which can be mapped onto a non-Hermitian Ashkin-Teller model. By exploiting the Kohmoto-den Nijs-Kadanoff transformation, we further map it to a staggered XXZ spin chain with pure-imaginary anisotropy parameters. This allows us to study the eigenstates of the original Liouvillian in great detail. We show that the steady state in each parity sector is a completely mixed state. The uniqueness of each is proved rigorously. We then study the decay modes on the self-dual line corresponding to the uniform XXZ chain and obtain an exact formula for the Liouvillian gap g, the inverse relaxation time, in the thermodynamic limit. The gap g as a function of dissipation strength A has a cusp, implying a kind of phase transition for the first decay mode.

【 授权许可】

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