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arXiv · 2502.09008

Dynamics of the Bose-Hubbard Model Induced by On-Site or Long-Range Two-Body Losses

Julien Despres·Leonardo Mazza·Marco Schirò
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Abstract

We present a theoretical study of the dissipative dynamics of the Bose-Hubbard model induced by on-site or long-range two-body losses. We first consider the one-dimensional chain and the two-dimensional square lattice, and study the dynamics induced by the sudden switch-on of two-body losses on a weakly-interacting superfluid state. The time-dependent density is obtained in the spirit of the Bogolyubov approach by calculating theoretically the equations of motion associated to the relevant quadratic bosonic correlators. In the one-dimensional case, our results compare very well with quasi-exact numerical calculations based on the quantum jump method implemented using tensor networks. We find that the intermediate-time dynamics of the density displays an algebraic decay characterized by an interaction-dependent power-law exponent. The latter property still holds for long-range two-body loss processes but it is absent in the two-dimensional square lattice with on-site losses.

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Julien Despres, Leonardo Mazza, Marco Schirò. 2025-02-13. Dynamics of the Bose-Hubbard Model Induced by On-Site or Long-Range Two-Body Losses. https://arxiv.org/abs/2502.09008

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