Hannover 2010 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 65: Quantum Gases : Lattices III
Q 65.6: Vortrag
Freitag, 12. März 2010, 15:30–15:45, E 001
Ginzburg-Landau Theory for the Jaynes-Cummings-Hubbard Model — •Christian Nietner1 and Axel Pelster2,3 — 1Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany — 2Institut für Physik und Astronomie, Karl-Liebknecht-Str. 24 14476 Potsdam, Germany — 3Fachbereich Physik, Universität Duisburg-Essen, Lotharstrasse 1, 47048 Duisburg, Germany
We develop a Ginzburg-Landau theory for the Jaynes-Cummings-Hubbard model which describes the thermodynamics of photons evolving in a lattice of cavities filled with a single two-level atom. To this end we follow Ref. [1] and calculate the effective action to first-order in the hopping expansion. Within this Ginzburg-Landau description we reproduce the finite-temperature mean-field quantum phase boundary of Refs. [2,3] between a Mott-insulating and a superfluid phase of polaritons. Furthermore, we report on our quest to determine the sound velocity of light in the superfluid phase.
[1] B. Bradlyn, F.E.A. dos Santos, and A. Pelster, Phys. Rev. A 79, 013615 (2009)
[2] J. Koch and K.L. Hur, Phys. Rev. A 80, 023811 (2009)
[3] S. Schmidt and G. Blatter, Phys. Rev. Lett. 103, 086403 (2009)