Evidence for correlated states in a cluster of bosons with Rashba spin-orbit coupling

Abstract

We study the ground state properties of spin-half bosons subjected to the Rashba spin-orbit coupling in two dimensions. Due to the enhancement of the low energy density of states, it is expected that the effect of interaction becomes more important. After reviewing several possible ideal condensed states, we carry out an exact diagonalization calculation for a cluster of the bosons in the presence of strong spin-orbit coupling on a two-dimensional disk and reveal strong correlations in its ground state. We derive a low-energy effective Hamiltonian to understand how states with strong correlations become energetically more favorable than the ideal condensed states.

Manipulating novel quantum phenomena using synthetic gauge fields

“…The two-body problem can be generalized to an arbitrary N-body problem. A cluster of bosons, which consists of a few atoms, has been found to form correlated states, instead of simple condensates [85]. Here, we would like to emphasize an intrinsic difference in the thermodynamic limit.…”

Three-Boson Spectrum in the Presence of 1D Spin-Orbit Coupling: Efimov’s Generalized Radial Scaling Law

“…If two-body short-range interactions are added, the modified single-particle dispersion curves can significantly alter the properties of weakly-bound two-and three-body states. This has been demonstrated extensively for two identical fermions for 1D, 2D, and 3D spin-orbit coupling [32][33][34][35][36][37][38][39][40][41] and for two identical bosons for 2D and 3D spin-orbit coupling [41][42][43][44][45] but not for the 1D spin-orbit coupling considered in this work. The present work presents the first study of how the experimentally most frequently realized 1D spin-orbit coupling terms modify the three-boson energy spectrum.…”

Focus on topological physics: from condensed matter to cold atoms and optics

“…They studied the mechanism of vortex nucleation in a Bose condensation subjected to a synthetic magnetic field. The paper by Zhihao Xu et al [21] points out the possible strongly correlated phase for interacting bosons with a Rashba spin-orbit coupling. The paper by Xiong-Jun Liu et al [22] reports a proposal of generalizing the Raman coupling scheme to optical lattices to realize chiral topological orders.…”