Quantum stability of Mott-insulator states of ultracold atoms in optical resonators

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Larson, Jonas; Fernandez-Vidal, Sonia; Morigi, Giovanna; Lewenstein, Maciej: Quantum stability of Mott-insulator states of ultracold atoms in optical resonators. In: New Journal of Physics 10 (2008), 45002. DOI: https://doi.org/10.1088/1367-2630/10/4/045002

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We investigate a paradigm example of cavity quantum electrodynamics with many body systems: an ultracold atomic gas inside a pumped optical resonator, confined by the mechanical potential emerging from the cavity-field spatial mode structure. When the optical potential is sufficiently deep, the atomic gas is in the Mott-insulator (MI) state as in open space. Inside the cavity, however, the potential depends on the atomic distribution, which determines the refractive index of the medium, thus altering the intracavity-field amplitude. We derive the effective Bose-Hubbard model describing the physics of the system in one-dimension and study the crossover between the superfluid-MI quantum states. We predict the existence of overlapping stability regions corresponding to competing insulator-like states. Bistable behavior, controlled by the pump intensity, is encountered in the vicinity of the shifted cavity resonance.
License of this version: CC BY-NC-SA 3.0 Unported
Document Type: article
Publishing status: publishedVersion
Issue Date: 2008
Appears in Collections:Fakultät für Mathematik und Physik

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4 image of flag of China China 2 1.23%
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