Ground-state phases of a mixture of spin-1 and spin-2 Bose-Einstein condensates

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...

Ground State Patterns and Phase Transitions for Spin-1 Bose-Einstein Condensates, Numerics and Analysis

The ultra-cold non-interacting Boson gases form so-called Bose-Einstein condensates (BECs). It is desirable to have a rigorous mathematical theory for such quantum phenomenon. In this talk, I will report our numerical and analytical results on the ground state patterns and their phase transitions of spin-1 BECs in a uniform magnetic field. The macroscopic model for spin-1 BECs is a generalized ...

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

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...

Spin-3 chromium Bose-Einstein condensates.

We analyze the physics of spin-3 Bose-Einstein condensates, and, in particular, the new physics expected in ongoing experiments with condensates of chromium atoms. We first discuss the ground-state properties, which, depending on still unknown chromium parameters, and for low magnetic fields, can present various types of phases. We also discuss the spinor dynamics in chromium spinor condensates...