Ground-state phases of ultracold bosons with Rashba-Dresselhaus spin-orbit coupling

Abstract

We study ultracold bosons in three dimensions with an anisotropic Rashba-Dresselhaus spinorbit coupling. We first carry out the exact summation of ladder diagrams for the two-boson t matrix at zero energy. Then, with the t matrix as the effective interaction, we find the ground-state phase diagrams of bosons in mean field, as a function of the spin-orbit coupling, the anisotropy, and the scattering lengths between particles in the same and in different pseudospin states. The resulting phase diagrams have much richer structures than those obtained using mean-field couplings, exhibiting three different phases: a plane wave condensate, a striped condensate, and an unstable phase. The differences between the present approach using the t matrix compared to using meanfield couplings is significant for large scattering lengths, large spin-orbit-coupling strength, or small anisotropy.

Harmonically trapped two-atom systems: Interplay of short-ranges-wave interaction and spin-orbit coupling

“…At the mean-field level, spin-orbit coupled gases exhibit rich phase diagrams [4,[12][13][14][15][16][17][18]. Effects beyond mean-field theory [19][20][21][22], associated with the renormalization of interactions, are enhanced by the spin-orbit coupling, especially in the pure Rashba case, and can qualitatively change the mean-field results. Thus, the interplay between the spin-orbit coupling and the s-wave interaction is a crucial aspect of the many-body physics of such systems.…”

“…The perturbative energy and wave function expressions are given in Eqs. (15)- (20) and Eqs. (21)- (24), respectively, and the perturbative energies are compared to the exact ones in Fig.…”

Drag force on a moving impurity in a spin-orbit-coupled Bose-Einstein condensate

“…It provides physicists with a new platform to study the effects of SOC in many-body systems. A plenty of researches have been done on the properties of the BEC with SOC, including the groundstate phase [14][15][16][17][18][19], fluctuations above the ground state [20][21][22][23], and spin-orbit coupled BECs with other coldatom techniques, such as dipole-dipole interactions, optical lattice and rotating trap [24][25][26][27][28].…”

Spin measurements and control of cold atoms using spin-orbit fields

“…The relative strength of the coupling can make possible observation of new macroscopically ordered phases (see e.g. [10][11][12]), topological states (e.g. [13]), and nontrivial spin dynamics [14][15][16].…”