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arXiv · 2003.14202

Exact Liouvillian Spectrum of a One-Dimensional Dissipative Hubbard Model

Masaya Nakagawa·Norio Kawakami·Masahito Ueda
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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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Masaya Nakagawa, Norio Kawakami, Masahito Ueda. 2020-03-31. Exact Liouvillian Spectrum of a One-Dimensional Dissipative Hubbard Model. https://doi.org/10.1103/physrevlett.126.110404

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