Cold atoms in the presence of disorder

Shapiro, Boris

doi:10.1088/1751-8113/45/14/143001

Cited by 112 publications

(135 citation statements)

References 110 publications

(436 reference statements)

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“…Needless to say, these strengths largely exceed those observed in typical optical lattice experiments, which conversely makes cold atoms loaded into optical lattices a system of choice to attain URL and CPA regimes. In fact, if disorder is not purposely introduced, e.g., via an additional speckle potential [58,68], the optical lattice periodicity is practically ideal, as only randomness in the number of cold atoms loaded into each well is, in general, present. To this purpose, we have also ascertained the effect of random fluctuations δN j in the atomic density N and found that such a source of structural disorder entails changes in the reflectivities (R L and R R ) and the eigenvalues (|λ + s | and |λ − s |) that amount to a tiny fraction of percents (∼0.2%) of the changes one would observe, e.g., for disorder in the distribution width d (Figs.…”

Section: Resultsmentioning

confidence: 99%

Perfect absorption and no reflection in disordered photonic crystals

Artoni

Rocca

2017

Phys. Rev. A

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Understanding the effects of disorder on the light propagation in photonic devices is of major importance from both fundamental and applied points of view. Unidirectional reflectionless and coherent perfect absorption of optical signals are unusual yet fascinating phenomena that have recently sparked an extensive research effort in photonics. These two phenomena, which arise from topological deformations of the scattering matrix S parameters space, behave differently in the presence of different types of disorder, as we show here for a lossy photonic crystal prototype with a parity-time antisymmetric susceptibility or a more general non-Hermitian one.

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Section: Resultsmentioning

confidence: 99%

Perfect absorption and no reflection in disordered photonic crystals

Artoni

Rocca

2017

Phys. Rev. A

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“…Many important contributions have been developed in the field of condensed matter theory [2], which now -upon the emergence of ultracold atomic experiments -can be precisely analyzed and verified. However, along with the new experimental possibilities, novel theoretical concepts need to be devised which capture the whole realm of present-day technologies [75] and, more importantly, foster a fundamental understanding of multi-scale transport phenomena.…”

Section: Aim Of This Thesismentioning

confidence: 99%

“…The thus obtained random pattern of bright (constructive interference) and dark spots (destructive interference) constitutes a single static realization of a disorder potential, and can be characterized by an average grain size with transverse and longitudinal extension (in the far-field) proportional to [75]. Here, λ L , D, and z are the corresponding wavelength of the laser field, the diameter of, and the distance perpendicular to the diffusing plate.…”

Section: Atoms In Disordered Potentialsmentioning

confidence: 99%

Inelastic Multiple Scattering of Interacting Bosons in Weak Random Potentials

2012

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“…Understanding the propagation of classical waves through strongly scattering media is of great importance for many applications such as imaging, characterization, or communication with all kinds of waves [1][2][3][4][5].…”

Section: Introductionmentioning

confidence: 99%

Radiative transfer of acoustic waves in continuous complex media: Beyond the Helmholtz equation

et al. 2016

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Heterogeneity can be accounted for by a random potential in the wave equation. For acoustic waves in a fluid with fluctuations of both density and compressibility (as well as for electromagnetic waves in a medium with fluctuation of both permittivity and permeability) the random potential entails a scalar and an operator contribution. For simplicity, the latter is usually overlooked in multiple scattering theory: whatever the type of waves, this simplification amounts to considering the Helmholtz equation with a sound speed c depending on position r. In this work, a radiative transfer equation is derived from the wave equation, in order to study energy transport through a multiple scattering medium. In particular, the influence of the operator term on various transport parameters is studied, based on the diagrammatic approach of multiple scattering. Analytical results are obtained for fundamental quantities of transport theory such as the transport mean-free path * , scattering phase function f , and anisotropy factor g. Discarding the operator term in the wave equation is shown to have a significant impact on f and g, yet limited to the low-frequency regime, i.e., when the correlation length of the disorder c is smaller than or comparable to the wavelength λ. More surprisingly, discarding the operator part has a significant impact on the transport mean-free path * whatever the frequency regime. When the scalar and operator terms have identical amplitudes, the discrepancy on the transport mean-free path is around 300% in the low-frequency regime, and still above 30% for c /λ = 10 3 no matter how weak fluctuations of the disorder are. Analytical results are supported by numerical simulations of the wave equation and Monte Carlo simulations.

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Cold atoms in the presence of disorder

Cited by 112 publications

References 110 publications

Perfect absorption and no reflection in disordered photonic crystals

Perfect absorption and no reflection in disordered photonic crystals

Inelastic Multiple Scattering of Interacting Bosons in Weak Random Potentials

Radiative transfer of acoustic waves in continuous complex media: Beyond the Helmholtz equation

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