Nakagawa Masaya, Kawakami Norio, Ueda Masahito
Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan.
Department of Physics, Kyoto University, Kyoto 606-8502, Japan.
Phys Rev Lett. 2021 Mar 19;126(11):110404. doi: 10.1103/PhysRevLett.126.110404.
A one-dimensional dissipative Hubbard model with two-body loss is shown to be exactly solvable. We obtain an exact eigenspectrum of a Liouvillian superoperator by employing a non-Hermitian extension of the Bethe-ansatz method. We find steady states, the Liouvillian gap, and an exceptional point that is accompanied by the divergence of the correlation length. A dissipative version of spin-charge separation induced by the quantum Zeno effect is also demonstrated. Our result presents a new class of exactly solvable Liouvillians of open quantum many-body systems, which can be tested with ultracold atoms subject to inelastic collisions.
一个具有两体损耗的一维耗散哈伯德模型被证明是精确可解的。我们通过采用贝塞耳假设方法的非厄米扩展来获得一个刘维尔超算符的精确本征谱。我们找到了稳态、刘维尔能隙以及一个伴随着关联长度发散的例外点。还展示了由量子芝诺效应诱导的自旋 - 电荷分离的耗散版本。我们的结果给出了一类新的开放量子多体系统的精确可解刘维尔算符，它可以用经历非弹性碰撞的超冷原子来进行测试。
