Simulation of frustrated classical XY models with ultra-cold atoms in 3D triangular optical lattices

Abstract

Miscellaneous magnetic systems are being recently intensively investigated because of their potential applications in modern technologies. Nonetheless, a many body dynamical description of complex magnetic systems may be cumbersome, especially when the system exhibits a geometrical frustration. This paper deals with simulations of the classical XY model on a three dimensional triangular lattice with anisotropic couplings, including an analysis of the phase diagram and a Bogoliubov description of the dynamical stability of mean-field stationary solutions. We also discuss the possibilities of the realization of Bose-Hubbard models with complex tunneling amplitudes in shaken optical lattices without breaking the generalized time-reversal symmetry and the opposite, i.e. real tunneling amplitudes in systems with the time-reversal symmetry broken.

arXiv comment10 pages, 9 figures, accepted for publication in Physical Review A

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Cited by in corpus (5)

• Unruh effect for interacting particles with ultracold atoms
• Simulation of non-Abelian lattice gauge fields with a single component gas
• Realization of universal nonadiabatic geometric control on decoherence-free qubits in the XY model
• Condensate Phase Microscopy
• Determination of Chern numbers with a phase retrieval algorithm