Asymmetric many-body loss in a bosonic double well

A Bose gas in a double well is investigated in the presence of single-particle, two-body, and three-body asymmetric loss. The loss induces an interesting decay behavior of the total population as well as a possibility to control the dynamics of the system. In the noninteracting limit with asymmetric single-body dissipation, the dynamics of the populations can be obtained analytically. The general many-body problem requires, however, an adequate approximation. We use a mean-field approximation and the Bogoliubov back reaction beyond mean-field truncation, which we extend up to three-body loss. Both methods are compared with exact many-body Monte Carlo simulations.