Renormalization group analysis of $p$-orbital Bose-Einstein condensates in a square optical lattice

Abstract

We investigate the quantum fluctuation effects in the vicinity of the critical point of a $p$-orbital bosonic system in a square optical lattice using Wilsonian renormalization group, where the $p$-orbital bosons condense at nonzero momenta and display rich phases including both time-reversal symmetry invariant and broken BEC states. The one-loop renormalization group analysis generates corrections to the mean-field phase boundaries. We also show the quantum fluctuations in the $p$-orbital system tend to induce the ordered phase but not destroy it via the the Coleman-Weinberg mechanism, which is qualitative different from the ordinary quantum fluctuation corrections to the mean-field phase boundaries in $s$-orbital systems. Finally we discuss the observation of these phenomena in the realistic experiment.

7 pages, 6 figures

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Cited by in corpus (10)

• Physics of higher orbital bands in optical lattices: a review
• Interaction-induced chiral p_x \pm i p_y superfluid order of bosons in an optical lattice
• Observing Chiral Superfluid Order by Matter-Wave Interference
• Evidence of Potts-Nematic Superfluidity in a Hexagonal $s{p}^2$ Optical Lattice
• Orbital optical lattices with bosons
• Unconventional Bose-Einstein Condensation in a System of Two-species Bosons in the $p$-orbital Bands of a Bipartite Lattice
• Phonon-like excitations in the two-state Bose-Hubbard model
• Effective potential and dynamical symmetry breaking up to five loops in a massless abelian Higgs model
• Phase diagram of strongly attractive $p$-orbital fermions on optical lattices
• Critical behavior of a chiral superfluid in a bipartite square lattice