Non-Abelian spin singlet states of two-component Bose gases in artificial gauge fields

Details Non-Abelian spin singlet states of two-component Bose gases in artificial gauge fields Non-Abelian spin singlet states of two-component Bose gases in artificial gauge fields

2012-04-24

arxiv.org/abs/1204.5423v1

Physics

Condensed Matter

Quantum Gases

4 pages, 3 figures

Scientific paper

We study strongly correlated phases of a pseudo-spin-1/2 Bose gas in an artificial gauge field using the exact diagonalization method. The atoms are confined in two dimensions and interact via a two-body contact potential. For SU(2)-symmetric interactions and Abelian gauge fields, the ground state of the system is a pseudo-spin singlet. In close analogy to the Read-Rezayi (RR) series in spin-polarized systems, a series of incompressible phases is formed at fillings \nu=2k/3. This series resembles the non-Abelian spin singlet (NASS) states, which are the exact zero-energy eigenstates of a (k+1)-body contact interaction. Applying non-Abelian gauge fields, it becomes possible to switch between RR-like and NASS-like states by varying the non-Abelian gauge field strength.

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