Exact Bethe-ansatz solutions for open quantum many-body systems
Masaya Nakagawa
U. Tokyo

I will present an exact solution of a one-dimensional dissipative Fermi-Hubbard model described by the quantum master equation [1]. Specifically, we obtain an exact eigenspectrum of the Liouvillian superoperator by using a non-Hermitian extension of the Bethe ansatz method. If time permits, I will also talk about our recent result on an exact solution of a non-Hermitian XXZ chain [2].

[1] M. Nakagawa, N. Kawakami, and M. Ueda, Phys. Rev. Lett. 126, 110404 (2021).
[2] K. Yamamoto, M. Nakagawa, M. Tezuka, M. Ueda, and N. Kawakami, Phys. Rev. B 105, 205125 (2022).