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

• URL: http://arxiv.org/abs/2502.09008v1
• Date: Thu, 13 Feb 2025 06:55:03 GMT
• Title: Dynamics of the Bose-Hubbard Model Induced by On-Site or Long-Range Two-Body Losses
• Authors: Julien Despres, Leonardo Mazza, Marco Schirò,
• Abstract summary: We study the dynamics induced by the sudden switch-on of two-body losses on a weakly-interacting superfluid state. For the Bose-Hubbard chain initially confined in the superfluid-correlated regime, an unexpected strong decay of the density appearing at short times is revealed.
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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. We finally investigate the dissipative quench dynamics starting from a strongly-correlated superfluid state or from a Mott-insulating state; for the Bose-Hubbard chain initially confined in the superfluid-correlated regime, an unexpected strong decay of the density appearing at short times is revealed.

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