Liouvillian skin effects and fragmented condensates in an integrable dissipative Bose-Hubbard model
arxiv(2024)
摘要
Strongly interacting non-equilibrium systems are of great fundamental
interest, yet their inherent complexity make then notoriously hard to analyze.
We demonstrate that the dynamics of the Bose-Hubbard model, which by itself
evades solvability, can be solved exactly at any interaction strength in the
presence of loss tuned to a rate matching the hopping amplitude. Remarkably,
the full solvability of the corresponding Liouvillian, and the integrability of
the pertinent effective non-Hermitian Hamiltonian, survives the addition of
disorder and generic boundary conditions. By analyzing the Bethe ansatz
solutions we find that even weak interactions change the qualitative features
of the system, leading to an intricate dynamical phase diagram featuring
non-Hermitian Mott-skin effects, disorder induced localization, highly
degenerate exceptional points, and a Bose glass-like phase of fragmented
condensates. We discuss realistic implementations of this model with cold
atoms.
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