Theory of Relaxation Time of the Bose-Einstein Condensate

Solitons for nearly integrable bright spinor Bose-Einstein condensate

‎Using the explicit forms of eigenstates for linearized operator related to a matrix version of Nonlinear Schrödinger equation‎, ‎soliton perturbation theory is developed for the $F=1$ bright spinor Bose-Einstein condensates‎. ‎A small disturbance of the integrability condition can be considered as a small correction to the integrable equation‎. ‎By choosing appropriate perturbation‎, ‎the soli...

Fluctuations of Bose-Einstein Condensate

The recent achievement of Bose-Einstein condensation (BEC) in trapped atoms of dilute gases [1–3] has been quickly followed by the quantitative measurements of the condensate’s properties. In particular the dependence of the fraction of atoms in the condensate on the temperature has been found to be in agreement with the theory of the noninteracting Bose gas in a harmonic trap [4]. From the poi...

Diffraction of a Bose-Einstein Condensate in the Time Domain

Theory of coherent photoassociation of a Bose - Einstein condensate

We study coherent photoassociation, phenomena analogous to coherent optical transients in fewlevel systems, which may take place in photoassociation of an atomic Bose-Einstein condensate but not in a nondegenerate gas. We develop a second-quantized Hamiltonian to describe photoassociation, and apply the Hamiltonian both in the momentum representation and in the position representation (field th...

Theory of decoherence in Bose-Einstein condensate interferometry

A full treatment of decoherence and dephasing effects in BEC interferometry has been developed based on using quantum correlation functions for treating interferometric effects. The BEC is described via a phase space distribution functional of the Wigner type for the condensate modes and the positive P type for the non-condensate modes. Ito equations for stochastic condensate and non-condensate...