Evolution of the average populations of spin components of spin-1 Bose-Einstein condensates beyond mean-field theory

Spin evolution of spin-1 Bose-Einstein condensates

An analytical formula is obtained to describe the evolution of the average populations of spin components of spin-1 atomic gases. The formula is derived from the exact time-dependent solution of the Hamiltonian HS = cS 2 without using approximation. Therefore it goes beyond the mean field theory and provides a general, accurate, and complete description for the whole process of nondissipative e...

Mean-field dynamics of spin-orbit coupled Bose-Einstein condensates.

Spin-orbit coupling (SOC), the interaction between the spin and momentum of a quantum particle, is crucial for many important condensed matter phenomena. The recent experimental realization of SOC in neutral bosonic cold atoms provides a new and ideal platform for investigating spin-orbit coupled quantum many-body physics. In this Letter, we derive a generic Gross-Pitaevskii equation as the sta...

Stability of nonstationary states of spin-1 Bose-Einstein condensates

Zero-Temperature, Mean-Field Theory of Atomic Bose-Einstein Condensates

We review the application of zero-temperature, mean-field theory to current experimental atomic Bose-Einstein condensates. We assess the validity of the approximations made by comparing the mean-field results with a variety of experimental data.

Spin-orbit coupled spinor Bose-Einstein condensates.

An effective spin-orbit coupling can be generated in a cold atom system by engineering atom-light interactions. In this Letter we study spin-1/2 and spin-1 Bose-Einstein condensates with Rashba spin-orbit coupling, and find that the condensate wave function will develop nontrivial structures. From numerical simulation we have identified two different phases. In one phase the ground state is a s...