Exact Liouvillian Spectrum of a One-Dimensional Dissipative Hubbard Model

• URL: http://arxiv.org/abs/2003.14202v2
• Date: Thu, 25 Mar 2021 06:40:20 GMT
• Title: Exact Liouvillian Spectrum of a One-Dimensional Dissipative Hubbard Model
• Authors: Masaya Nakagawa, Norio Kawakami, Masahito Ueda
• Abstract summary: A one-dimensional dissipative Hubbard model with two-body loss is shown to be exactly solvable. We find steady states, the Liouvillian gap, and an exceptional point that is accompanied by the divergence of the correlation length. Our result presents a new class of exactly solvable Liouvillians of open quantum many-body systems.
• Score: 4.511923587827301
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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