Nonlinear coherent backscattering

Wellens, Thomas

doi:10.1007/s00340-009-3454-7

Cited by 15 publications

(73 citation statements)

References 9 publications

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“…Multiple dephasing mechanisms due to, e. g. , the random motion of scatterers [57], the internal structure of the scatterers [58], or the nonlinear response of strongly laser driven atoms [59][60][61] have been considered, theoretically and experimentally, and shown to lead to a suppression of the coherent backscattering interference. Furthermore, the presence of a nonlinearity may also produce an inversion of the backscattering cone [62], e. g. for matter waves in disordered potentials using the Gross-Pitaevskii equation [44]. As the experimental realization with matter waves [55,56] was just able to confirm the effect for non-interacting (or very weakly interacting) particles [63], an experimental confirmation of the -debatable (as we will see) -Gross-Pitaevskii result for stronger interaction [44] is still missing.…”

Section: Diffusion and The Weak Localization Correctionmentioning

confidence: 99%

“…Within this thesis, we will therefore develop an averaged (diagrammatic) scattering theory 13 for particles within a disorder potential that goes beyond 13 Based on an already available diagrammatic scattering theory for the Gross-Pitaevskii equation [62].…”

Section: Relation To Our Setup: Matter Wave Scattering Off a Disordermentioning

confidence: 99%

“…(62), one has to join a diagram |f +,N and a complex conjugate diagram f +,N | in such a way that the detected amplitudes and the traced-out amplitudes are grouped together, taking into account all different possibilities. For Fig.…”

Section: Trace Over Undetected Particlesmentioning

confidence: 99%

“…6. Thereby, we again obtain an elastic non-linear diagrammatic contribution which can be equivalently obtained via the GrossPitaevskii equation, see Chapter 3 or [62].…”

Section: Trace Over Undetected Particlesmentioning

confidence: 99%

“…The final figure of merit, however, as detected by a detector at position R in the far field of the slab, is the already mentioned flux density, integrated over all occurring single-particle energies, see (62):…”

Section: The Nonlinear Transport Equation For the Ladder Contributionmentioning

confidence: 99%

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Inelastic Multiple Scattering of Interacting Bosons in Weak Random Potentials

2012

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Section: Diffusion and The Weak Localization Correctionmentioning

confidence: 99%

Section: Relation To Our Setup: Matter Wave Scattering Off a Disordermentioning

confidence: 99%

Section: Trace Over Undetected Particlesmentioning

confidence: 99%

“…6. Thereby, we again obtain an elastic non-linear diagrammatic contribution which can be equivalently obtained via the GrossPitaevskii equation, see Chapter 3 or [62].…”

Section: Trace Over Undetected Particlesmentioning

confidence: 99%

Section: The Nonlinear Transport Equation For the Ladder Contributionmentioning

confidence: 99%

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Inelastic Multiple Scattering of Interacting Bosons in Weak Random Potentials

2012

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Weak localization with nonlinear bosonic matter waves

et al. 2012

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We investigate the coherent propagation of dilute atomic Bose-Einstein condensates through irregularly shaped billiard geometries that are attached to uniform incoming and outgoing waveguides. Using the mean-field description based on the nonlinear Gross-Pitaevskii equation, we develop a diagrammatic theory for the self-consistent stationary scattering state of the interacting condensate, which is combined with the semiclassical representation of the single-particle Green function in terms of chaotic classical trajectories within the billiard. This analytical approach predicts a universal dephasing of weak localization in the presence of a small interaction strength between the atoms, which is found to be in good agreement with the numerically computed reflection and transmission probabilities of the propagating condensate. The numerical simulation of this quasi-stationary scattering process indicates that this interaction-induced dephasing mechanism may give rise to a signature of weak antilocalization, which we attribute to the influence of non-universal short-path contributions.

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A self-consistent theory of localization in nonlinear random media

Cherroret

2016

J. Phys.: Condens. Matter

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The self-consistent theory of localization is generalized to account for a weak quadratic nonlinear potential in the wave equation. For spreading wave packets, the theory predicts the destruction of Anderson localization by the nonlinearity and its replacement by algebraic subdiffusion, while classical diffusion remains unaffected. In 3D, this leads to the emergence of a subdiffusion-diffusion transition in place of the Anderson transition. The accuracy and the limitations of the theory are discussed.

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Nonlinear coherent backscattering

Cited by 15 publications

References 9 publications

Inelastic Multiple Scattering of Interacting Bosons in Weak Random Potentials

Inelastic Multiple Scattering of Interacting Bosons in Weak Random Potentials

Weak localization with nonlinear bosonic matter waves

A self-consistent theory of localization in nonlinear random media

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