Cold atoms in dissipative optical lattices

Grynberg, G.; Robilliard, Cécile

doi:10.1016/s0370-1573(01)00017-5

Cited by 257 publications

(294 citation statements)

References 182 publications

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“…The atoms are transfered to a three-dimensional optical lattice, which is based on four laser beams of equal irradiance and detuning (for a review of optical lattice set-ups, see e.g. [15] or [16]). The detuning is a few tens of Γ below the (F g = 4 → F e = 5) resonance for the 133 Cs D2 line at 852 nm (Γ = 2π · 5.21 MHz is the linewidth of the excited state).…”

Section: A Experimental Setupmentioning

confidence: 99%

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Non-Gaussian velocity distributions in optical lattices

et al. 2004

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We present a detailed experimental study of the velocity distribution of atoms cooled in an optical lattice. Our results are supported by full-quantum numerical simulations. Even though the Sisyphus effect, the responsible cooling mechanism, has been used extensively in many cold atom experiments, no detailed study of the velocity distribution has been reported previously. For the experimental as well as for the numerical investigation, it turns out that a Gaussian function is not the one that best reproduce the data for all parameters. We also fit the data to alternative functions, such as Lorentzians, Tsallis functions and double Gaussians. In particular, a double Gaussian provides a more precise fitting to our results.

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Section: A Experimental Setupmentioning

confidence: 99%

“…Therefore one cannot compute a spatially averaged velocity dependent force. Also, the atoms will be trapped in microscopic potential minima (forming optical lattices [15,16]), and the ensemble should be characterized by a distribution of vibrational modes and unbound modes, rather than by a velocity distribution.…”

Section: Introductionmentioning

confidence: 99%

Non-Gaussian velocity distributions in optical lattices

et al. 2004

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“…An optical lattice is a standing-wave potential that can be obtained by superposition of counter-propagating laser beams with linear orthogonal polarizations (for a recent review see [14]). …”

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confidence: 99%

Anomalous diffusion and Tsallis statistics in an optical lattice

2003

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We point out a connection between anomalous quantum transport in an optical lattice and Tsallis' generalized thermostatistics. Specifically, we show that the momentum equation for the semiclassical Wigner function that describes atomic motion in the optical potential, belongs to a class of transport equations recently studied by Borland [PLA 245, 67 (1998)]. The important property of these ordinary linear Fokker-Planck equations is that their stationary solutions are exactly given by Tsallis distributions. Dissipative optical lattices are therefore new systems in which Tsallis statistics can be experimentally studied.

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“…The corresponding KTF-solution is ψ ⊳ (x, y) ≡ ρ/3 (e ikx + e −ikx/2 cos( √ yield a spatial shift of the resulting field [5]. In Fig.…”

Section: D Triangular Latticementioning

confidence: 95%

“…The corresponding KTF-solution has the form ψ ≡ N ν=1 ψ ν e ikν r with spatially constant complex amplitudes ψ ν . Different choices of k ν correspond to a rich variety of periodic and quasi-periodic light-shift potentials [5], including triangular, hexagonal or square lattice geometries. If the lattice potential is periodic, it suffices that each unit cell separately satisfies Eq.…”

Section: Stability Analysismentioning

confidence: 99%

Kinetic Thomas–Fermi solutions of the Gross–Pitaevskii equation

Ölschläger

Wirth

Smith

et al. 2009

Optics Communications

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Approximate solutions of the Gross-Pitaevskii (GP) equation, obtained upon neglection of the kinetic energy, are well known as Thomas-Fermi solutions. They are characterized by the compensation of the local potential by the collisional energy. In this article we consider exact solutions of the GP-equation with this property and definite values of the kinetic energy, which suggests the term "kinetic Thomas-Fermi" (KTF) solutions. We point out that a large class of light-shift potentials gives rise to KTF-solutions. As elementary examples, we consider one-dimensional and two-dimensional optical lattice scenarios, obtained by means of the superposition of two, three and four laser beams, and discuss the stability properties of the corresponding KTF-solutions. A general method is proposed to excite two-dimensional KTF-solutions in experiments by means of time-modulated light-shift potentials.

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Cold atoms in dissipative optical lattices

Cited by 257 publications

References 182 publications

Non-Gaussian velocity distributions in optical lattices

Non-Gaussian velocity distributions in optical lattices

Anomalous diffusion and Tsallis statistics in an optical lattice

Kinetic Thomas–Fermi solutions of the Gross–Pitaevskii equation

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