Trapping and cooling cesium atoms in a speckle field

Boiron, Denis; Mennerat-Robilliard, C.; Fournier, Jean‐Marc; Guidoni, L.; Salomon, Christophe; Grynberg, G.

doi:10.1007/s100530050581

Cited by 46 publications

(48 citation statements)

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“…Then the denominator 1 − r + r − of Eqs. (15,16) is extremely small, of order |t| 2 . This leads to |φ(x)| decreasing exponentially from x = 0 outwards, from a value ∼ 1/|t| 2 to a value ∼ 1/|t| [35], as depicted in Fig.2b.…”

Section: B Application Of the Proposed Technique In 1d: Analytical Rmentioning

confidence: 99%

Three-dimensional strong localization of matter waves by scattering from atoms in a lattice with a confinement-induced resonance

2006

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The possibility of using ultracold atoms to observe strong localization of matter waves is now the subject of a great interest, as undesirable decoherence and interactions can be made negligible in these systems. It was proposed that a static disordered potential can be realized by trapping atoms of a given species in randomly chosen sites of a deep 3D optical lattice with no multiple occupation. We analyze in detail the prospects of this scheme for observing localized states in 3D for a matter wave of a different atomic species that interacts with the trapped particles and that is sufficiently far detuned from the optical lattice to be insensitive to it. We demonstrate that at low energy a large number of 3D strongly localized states can be produced for the matter wave, if the effective scattering length describing the interaction of the matter wave with a trapped atom is of the order of the mean distance between the trapped particles. Such high values of the effective scattering length can be obtained by using a Feshbach resonance to adjust the free space inter-species scattering length and by taking advantage of confinement-induced resonances induced by the trapping of the scatterers in the lattice.

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Section: B Application Of the Proposed Technique In 1d: Analytical Rmentioning

confidence: 99%

Three-dimensional strong localization of matter waves by scattering from atoms in a lattice with a confinement-induced resonance

2006

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“…It should also be mentioned that impurity-like cold-atom set-ups have been proposed [15] and may also become available (for a realization in which different species occupy the impurity and the bath regions, see [16]), in which case some version of the single-impurity model may be directly applicable. More recently, it has become possible to introduce quenched disorder into optical lattice systems [17][18][19][20][21][22][23][24][25][26], which may prove useful for the important problem of the interplay between disorder and interactions [27]. The extension of the BDMFT to the disordered case [28], however, requires the solution of a large number of different single-impurity problems for the description of a single disordered sample, as many as the number of lattice sites (for a description of the fermionic version, see [29]).…”

Section: Introductionmentioning

confidence: 99%

Symmetry breaking and physical properties of the bosonic single-impurity Anderson model

Warnes

Miranda

2012

Eur. Phys. J. B

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We show how exact diagonalization of small clusters can be used as a fast and reliable impurity solver by determining the phase diagram and physical properties of the bosonic single-impurity Anderson model. This is specially important for applications which require the solution of a large number of different single-impurity problems, such as the bosonic dynamical mean field theory of disordered systems. In particular, we investigate the connection between spontaneous global gauge symmetry breaking and the occurrence of Bose-Einstein condensation (BEC). We show how BEC is accurately signaled by the appearance of broken symmetry, even when a fairly modest number of states is retained. The occurrence of symmetry breaking can be detected both by adding a small conjugate field or, as in generic quantum critical points, by the divergence of the associated phase susceptibility. Our results show excellent agreement with the considerably more demanding numerical renormalization group (NRG) method. We also investigate the mean impurity occupancy and its fluctuations, identifying an asymmetry in their critical behavior across the quantum phase transitions between BEC and 'Mott' phases.

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“…The presence of more complex force fields, such as non-conservative force fields [32][33][34][35][36][37][38] or random optical potential [39][40][41][42][43][44][45][46][47][48][49], can be taken into account by modeling a generic force in Eq. (1) as explained in Ref.…”

Section: Complex Force Fieldsmentioning

confidence: 99%

Simulation of active Brownian particles in optical potentials

Volpe

Gigan²,

Volpe

2014

SPIE Proceedings

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Optical forces can affect the motion of a Brownian particle. For example, optical tweezers use optical forces to trap a particle at a desirable position. Unlike passive Brownian particles, active Brownian particles, also known as microswimmers, propel themselves with directed motion and thus drive themselves out of equilibrium. Understanding their motion in a confined potential can provide insight into out-of-equilibrium phenomena associated with biological examples such as bacteria, as well as with artificial microswimmers. We discuss how to mathematically model their motion in an optical potential using a set of stochastic differential equations and how to numerically simulate it using the corresponding set of finite difference equations.

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Trapping and cooling cesium atoms in a speckle field

Cited by 46 publications

References 0 publications

Three-dimensional strong localization of matter waves by scattering from atoms in a lattice with a confinement-induced resonance

Three-dimensional strong localization of matter waves by scattering from atoms in a lattice with a confinement-induced resonance

Symmetry breaking and physical properties of the bosonic single-impurity Anderson model

Simulation of active Brownian particles in optical potentials

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