Fidelity of Interference Between Two Bose-Einstein Condensateswith Collision and Dissipation

Interference between the two Bose-Einstein condensates with collision and dissipation is investigated. It is found that when the two condensates are initially in the coherent state, theinterference intensity is affected by the collision and dissipation, but for the initial Fock state, it is only related to the dissipation. Whether the initial state is in the coherentstate or in a Fock state, the fidelity time has nothing to do withcollision. For the initial coherent state, the fidelity loss rateis zero, but for the initial Fock state, it is determined by theinitial particle number of the two condensates and dissipation.