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Order-by-disorder degeneracy lifting of interacting bosons on the dice lattice

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Title: Order-by-disorder degeneracy lifting of interacting bosons on the dice lattice
Authors: Payrits, M
Barnett, R
Item Type: Journal Article
Abstract: Motivated by recent experimental progress in the realization of synthetic gauge fields in systems of ultracold atoms, we consider interacting bosons on the dice lattice with half flux per plaquette. All bands of the noninteracting spectrum of this system were previously found to have the remarkable property of being completely dispersionless. We show that degeneracies remain when interactions are treated at the level of mean-field theory, and the ground state exhibits vortex lattice configurations already established in the simpler XY model in the same geometry. We argue that including quantum and thermal fluctuations will select a unique vortex lattice up to overall symmetries based on the order-by-disorder mechanism. We verify the stability of the selected state by analyzing the condensate depletion. The latter is shown to exhibit an unusual nonmonotonic behavior as a function of the interaction parameters which can be understood as a consequence of the dispersionless nature of the noninteracting spectrum. Finally, we comment on the role of domain walls which have interactions mediated through fluctuations.
Issue Date: 14-Jul-2014
Date of Acceptance: 7-Apr-2014
URI: http://hdl.handle.net/10044/1/38725
DOI: https://dx.doi.org/10.1103/PhysRevA.90.013608
ISSN: 1094-1622
Publisher: American Physical Society
Journal / Book Title: Physical Review A
Volume: 90
Issue: 1
Copyright Statement: © 2014 American Physical Society
Sponsor/Funder: Commission of the European Communities
Funder's Grant Number: PCIG14-GA-2013-631002
Keywords: Science & Technology
Physical Sciences
Optics
Physics, Atomic, Molecular & Chemical
Physics
Josephson-junction arrays
Transverse magnetic-fields
Network
Localization
Absence
Cond-mat.quant-gas
General Physics
Mathematical Sciences
Chemical Sciences
Publication Status: Published
Article Number: ARTN 013608
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences



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