Dissipative two-mode Bose–Einstein condensate coupled to the environment

• We provided new technique to understand the physics of two-mode BEC–environment coupling system.
• Analytical solution is given for the non-interacting case.
• Beyond mean-field numerical calculation provided for the interacting system.
• Our technique may pave the way for studying on more challenging thermodynamical systems.

We study the dynamics of an atomic condensate loaded in two symmetric traps where one of the trap is coupled to a reservoir. Analytical solution of the population dynamics is given for the non-interacting two-mode Bose–Einstein condensate system in the Markovian limit. In our model dissipation is induced by the reservoir fluctuation in agreement with the Fluctuation–Dissipation theorem. For the interacting two-mode case however, we resort to numerical calculation to study the effect of damping on the population evolution. We have shown that dissipation acting concurrently with repulsion interaction drives the BEC self trapping state back to the quantum tunnelling state for the zero-temperature case. For the finite temperature case however much surprising dynamics were observed as the tunnelling between the traps is suppressed when the temperature of the system is increased.