47 research outputs found
Particle-Localized Ground State of Atom-Molecule Bose-Einstein Condensates in a Double-Well Potential
We study the effect of atom-molecule internal tunneling on the ground state
of atom-molecule Bose-Einstein condensates in a double-well potential. In the
absence of internal tunneling between atomic and molecular states, the ground
state is symmetric, which has equal-particle populations in two wells. From the
linear stability analysis, we show that the symmetric stationary state becomes
dynamically unstable at a certain value of the atom-molecule internal tunneling
strength. Above the critical value of the internal tunneling strength, the
ground state bifurcates to the particle-localized ground states. The origin of
this transition can be attributed to the effective attractive inter-atomic
interaction induced by the atom-molecule internal tunneling. This effective
interaction is similar to that familiar in the context of BCS-BEC crossover in
a Fermi gas with Feshbach resonance. Furthermore, we point out the possibility
of reentrant transition in the case of the large detuning between the atomic
and molecular states.Comment: 34 pages,10 figure
Damping of Condensate Oscillation of a Trapped Bose Gas in a One-Dimensional Optical Lattice at Finite Temperatures
We study damping of a dipole oscillation in a Bose-Condensed gas in a
combined cigar-shaped harmonic trap and one-dimensional (1D) optical lattice
potential at finite temperatures. In order to include the effect of thermal
excitations in the radial direction, we derive a quasi-1D model of the
Gross-Pitaeavskii equation and the Bogoliubov equations. We use the Popov
approximation to calculate the temperature dependence of the condensate
fraction with varying lattice depth. We then calculate the Landau damping rate
of a dipole oscillation as a function of the lattice depth and temperature. The
damping rate increases with increasing lattice depth, which is consistent with
experimental observations. The magnitude of the damping rate is in reasonable
agreement with experimental data. We also find that the damping rate has a
strong temperature dependence, showing a sharp increase with increasing
temperature. Finally, we emphasize the importance of the radial thermal
excitations in both equilibrium properties and the Landau damping.Comment: 11 pages, 6 figure