Harmonically Trapped Atoms with Spin-Orbit Coupling

Abstract

We study harmonically trapped one-dimensional atoms subjected to an equal combination of Rashba and Dresselhaus spin-orbit coupling induced by Raman transition. We first examine the wave function and the degeneracy of the single-particle ground state, followed by a study of two weakly interacting bosons or fermions. For the two-particle ground state, we focus on the effects of the interaction on the degeneracy, the spin density profiles, and the density-density correlation functions. Finally we show how these studies help us to understand the many-body properties of the system.

12 pages, 9 figures. Comments are welcome

References in corpus (9)

• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Degenerate Quantum Gases with Spin-Orbit Coupling
• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• Fragmentation of Bose-Einstein Condensates
• Spin-orbit coupled Bose-Einstein condensates
• Approach for making visible and stable stripes in a spin-orbit-coupled Bose-Einstein superfluid
• Finite-Momentum Dimer Bound State in Spin-Orbit Coupled Fermi Gas
• Energy spectrum of a harmonically trapped two-atom system with spin-orbit coupling
• Radio-frequency spectroscopy of weakly bound molecules in spin-orbit coupled atomic Fermi gases

Cited by in corpus (14)

• Collective excitation of a trapped Bose-Einstein condensate with spin-orbit coupling
• Effects of Spin-Orbit Coupling on Jaynes-Cummings and Tavis-Cummings Models
• Excited-state quantum phase transitions in spin-orbit coupled Bose gases
• Excitation spectra of a Bose-Einstein condensate with an angular spin-orbit coupling
• Spin-exchange-induced exotic superfluids in a Bose-Fermi spinor mixture
• Spin squeezing in a spin-orbit coupled Bose-Einstein condensate
• Enhancement of $d$-wave pairing in the striped phase with the nearest neighbour attraction
• Density correlation functions and the spatial structure of the two-dimensional BEC-BCS crossover
• Universal relations for hybridized $s$- and $p$-wave interactions from spin-orbital coupling
• Spin-orbit coupling in the presence of strong atomic correlations
• PT-Symmetric potential impact on the scattering of a Bose-Einstein condensate from a Gaussian Obstacle
• A variational approach for the ground state profile of a trapped spinor-BEC: A detailed study of phase transition in spin-1 condensate at zero magnetic field
• Doppler-Raman crossover in resonant scattering
• Enhanced strong interaction effect in synthetic spin-orbit coupling with mixed spin symmetry