Optical properties of atomic Mott insulators: From slow light to dynamical Casimir effects

Carusotto, Iacopo; Antezza, Mauro; Bariani, Francesco; Liberato, Simone De; Ciuti, Cristiano

doi:10.1103/physreva.77.063621

Cited by 37 publications

(35 citation statements)

References 82 publications

(120 reference statements)

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“…Using instead Bragg beams at the same frequency as the optical lattice, wave-mixing effects are expected, as reported for instance in [4,5,53]. In addition, optical lattices have been discussed in the literature as a possible realization of photonic bandgap materials [15,54,55,56,57,58,59,60]. An interesting question is how such photonic properties are modified when the many-body quantum state of the atoms is relevant to the atom-photon interactions dynamics.…”

Section: Discussionmentioning

confidence: 99%

Light scattering by ultracold atoms in an optical lattice

2010

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We investigate theoretically light scattering of photons by ultracold atoms in an optical lattice in the linear regime. A full quantum theory for the atom-photon interactions is developed as a function of the atomic state in the lattice along the Mott-insulator -superfluid phase transition, and the photonic scattering cross section is evaluated as a function of the energy and of the direction of emission. The predictions of this theory are compared with the theoretical results of a recent work on Bragg scattering in time-of-flight measurements [A.M. Rey, et al., Phys. Rev. A 72, 023407 (2005)]. We show that, when performing Bragg spectroscopy with light scattering, the photon recoil gives rise to an additional atomic site to site hopping, which can interfere with ordinary tunneling of matter waves and can significantly affect the photonic scattering cross section.

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Section: Discussionmentioning

confidence: 99%

Light scattering by ultracold atoms in an optical lattice

2010

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“…We also highlight connections to coupled cavity arrays described by the Jaynes-Cummings-Hubbard model and its variants [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. Additional directions in cold atoms include recent work on excitons [37], generalized Dicke models [38], and light propagation in atomic Mott insulators [39,40].…”

Section: Introductionmentioning

confidence: 99%

Bose-Hubbard models coupled to cavity light fields

et al. 2010

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Recent experiments on strongly coupled cavity quantum electrodynamics present new directions in "matterlight" systems. Following on from our previous work [Phys. Rev. Lett. 102, 135301 (2009)] we investigate Bose-Hubbard models coupled to a cavity light field. We discuss the emergence of photoexcitations or "polaritons" within the Mott phase, and obtain the complete variational phase diagram. Exploiting connections to the superradiance transition in the Dicke model we discuss the nature of polariton condensation within this novel state. Incorporating the effects of carrier superfluidity, we identify a first-order transition between the super-radiant Mott phase and the single component atomic superfluid. The overall predictions of mean field theory are in excellent agreement with exact diagonalization and we provide details of superfluid fractions, density fluctuations, and finite size effects. We highlight connections to recent work on coupled cavity arrays.

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“…Following the same approach as in Ref. [26], the total light-matter Hamiltonian can be expressed as H = H ph + H at + H dr + H int , where the free electromagnetic (e.m.) field Hamiltonian is…”

Section: B the Three-level Fano-hopfield Modelmentioning

confidence: 99%

Photonic band structure of the three-dimensional88Sratomic lattice

2011

Phys. Rev. A

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Based on the narrow linewidth 1 S 0 -3 P 1 transition of the bosonic 88 Sr atom, we investigate the dispersion relation for light propagating in a three-dimensional (3D) atomic dipolar lattice. Two factors determine the presence of the photonic band gap (PBG): lattice geometry and the atomic polarization. For a two-level atomic system, the former factor plays a major role. An omnidirectional PBG is predicted in the non-Bravais diamond lattice while no PBG exists in the Bravais lattices. However, since a PBG happens around the resonant 1 S 0 -3 P 1 line, the probe beam suffers a significant atomic absorption, which is the major drawback in Bragg scattering. We propose applying an external field to couple the atomic 3 P 1 -3 D 1 transition so as to modify the atomic polarization of the 1 S 0 -3 P 1 transition. In the three level 1 S 0 -3 P 1 -3 D 1 atomic system, the atomic polarization strongly affects the band structure besides the lattice geometry. Dual PBGs can exist in simple cubic and face-centered cubic lattices, but the original PBG, in the diamond lattice composed of the two-level atoms, vanishes. Meanwhile, since two PBGs can be pushed far away from the atomic resonant 1 S 0 -3 P 1 line, the atomic absorption is significantly suppressed, which enhances the reflection efficiency in Bragg scattering.

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Optical properties of atomic Mott insulators: From slow light to dynamical Casimir effects

Cited by 37 publications

References 82 publications

Light scattering by ultracold atoms in an optical lattice

Light scattering by ultracold atoms in an optical lattice

Bose-Hubbard models coupled to cavity light fields

Photonic band structure of the three-dimensional88Sratomic lattice

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