Asymmetric many-body loss in a bosonic double well

Abstract

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.

Dynamical phase transition of two-component Bose–Einstein condensate with nonlinear tunneling in an optomechanical cavity-mediated double-well system

“…This means that the system experiences a stability point bifurcation for certain choices of the coupling parameters. From equations (11), (13) and figure 4, one can see that the distribution of the phase diagram is symmetric about z=0 without the cavity-field-induced tilt. However, this symmetry is broken when the coupling strength between the atoms and the cavity with the moving end mirror exists.…”

“…It is natural to expect that this term can produce new roots and potentially make the phase portrait of the system quantitatively or even qualitatively different from that without nonlinear tunneling. For the case of interplay between the cavity and the BECs, the roots of equation (13) have to be solved numerically. When the nonlinear tunneling strength is small, the corresponding phase diagram is similar to the one without a nonlinear tunneling term [22], as shown in figure 2(a).…”

“…First of all, we numerically solve the roots of equation (13) with different parameters, as shown in figures 4(a)-(d). Figure 4(a) indicates that the stability points of system can move upwards with the increasing coupling strength between the cavity and the mirror along the line f=0, when the detuning between the pumping field and the mirror has a fixed value.…”

“…These include the dynamics of spin-orbit-coupled condensates [3][4][5], the existence of nonlinear steady state [6], the cross structure of the level [7,8], the nonlinear Landau-Zener tunneling [9], and the the nonlinear Josephson oscillation [10,11]. Most recently, the tunneling probabilities of few bosons [12], the nonequilibrium dynamical ion transfer [13], the asymmetric many-body loss [14], the dynamical phase transition of binary species BECs [15], Interaction blockade [16]and the interaction-modulated tunneling dynamics [17] have also been explored, respectively.…”