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.

10 pages, 9 figures, accepted for publication in Physical Review A

References in corpus (10)

• Many-Body Physics with Ultracold Gases
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Dynamical control of matter-wave tunneling in periodic potentials
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Dirac Strings and Magnetic Monopoles in Spin Ice Dy2Ti2O7
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Coherent control of dressed matter waves
• Single Particle Tunneling in Strongly Driven Double Well Potentials
• Kilohertz-driven Bose-Einstein condensates in optical lattices
• Creation and manipulation of Feshbach resonances with radio-frequency radiation