Renormalization group analysis of $p$-orbital Bose-Einstein condensates in a square optical lattice
| Autor: | Liu, Boyang, Yu, Xiao-Lu, Liu, Wu-Ming |
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| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | Phys. Rev. A 88, 063605 (2013) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevA.88.063605 |
| Popis: | 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. Comment: 7 pages, 6 figures |
| Databáze: | arXiv |
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