Hannover 2016 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 27: Poster: Quantum Optics and Photonics II
Q 27.17: Poster
Dienstag, 1. März 2016, 16:30–19:00, Empore Lichthof
Improved Ginzburg-Landau Theory for Bosons in Optical Lattices via Degenerate Perturbation Theory — •Martin Kübler1, Ednilson Santos2, and Axel Pelster1 — 1Physics Department and Research Center OPTIMAS, Technische Universität Kaiserslautern, Germany — 2Departamento de Física, Universidade Federal de São Carlos, Brazil
Bosons in an optical lattice yield a paradigmatic quantum phase transition between a Mott insulator and a superfluid. Recently, a Ginzburg-Landau theory for the underlying Bose-Hubbard model has been developed, which allows to determine the location of this quantum phase transition quite accurately [1-3]. Here we extend the validity range of this Ginzburg-Landau theory with the help of a degenerate perturbation theory. This allows to study also harmonically confined optical lattices, where a wedding cake structure of insulating Mott shells with superfluid regions between the Mott shells emerge [4].
[1] F.E.A. dos Santos, and A. Pelster, Phys. Rev. A 79, 013614 (2009).
[2] B. Bradlyn, F.E.A. dos Santos, and A. Pelster, Phys. Rev. A 79, 013615 (2009).
[3] D. Hinrichs, A. Pelster, and M. Holthaus, Appl. Phys. B 113, 57 (2013).
[4] K. Mitra, C.J. Williams, and C.A.R. Sa de Melo, Phys. Rev. A 77, 033607 (2008).