Microscopic theory of photonic band gaps in optical lattices

Samoylova, M.; Piovella, N.; Bachelard, Romain; Courteille, Ph. W.

doi:10.1016/j.optcom.2013.09.016

Cited by 10 publications

(6 citation statements)

References 29 publications

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“…2 of [39]). These feature can be explained by the coupled-dipole model [111], but they can also be very well described by a standard-optics wave-propagation equation based on a periodic susceptibility (in that case using transfer-matrices to exploit the periodicity). Thus, it seems that in many (or most?)…”

Section: What Should Be Called Cooperative?mentioning

confidence: 99%

Light interacting with atomic ensembles: collective, cooperative and mesoscopic effects

Guerin

Rouabah

Kaiser

2016

Journal of Modern Optics

120

117

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International audienceCooperative scattering has been the subject of intense research in the last years. In this article, we discuss the concept of cooperative scattering from a broad perspective. We briefly review the various collective effects that occur when light interacts with an ensemble of atoms. We show that some effects that have been recently discussed in the context of 'single-photon superradiance', or cooperative scattering in the linear-optics regime, can also be explained by 'standard optics', i.e., using macroscopic quantities such as the susceptibility or the diffusion coefficient. We explain why some collective effects depend on the atomic density, and others on the optical depth. In particular, we show that, for a large and dilute atomic sample driven by a far-detuned laser, the decay of the fluorescence, which exhibits superradiant and subradiant dynamics, depends only on the on-resonance optical depth. We also discuss the link between concepts that are independently studied in the quantum-optics community and in the mesoscopic-physics community. We show that the coupled-dipole model predicts a departure from Ohm's law for the diffuse light, that incoherent multiple scattering can induce a saturation of fluorescence and we also show the similarity between the weak-localization correction to the diffusion coefficient and the inaccuracy of Lorentz local field correction to the susceptibility

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Section: What Should Be Called Cooperative?mentioning

confidence: 99%

Light interacting with atomic ensembles: collective, cooperative and mesoscopic effects

Guerin

Rouabah

Kaiser

2016

Journal of Modern Optics

120

117

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“…Non-Hermitian Euclidean matrices [88] appear in many different physical models, including Anderson localisation in light [89] and matter waves [90], light propagation in nonlinear disordered media [91] and, in our case, collective behaviour in atomic systems [17,32,39,86,92]. The non-Hermitian nature of M means that the eigenvalues µ p are complex (the significance of which we shall examine in Sec.…”

Section: Complex-symmetric Matrices and Left-right Eigenvectorsmentioning

confidence: 98%

Cooperative Interactions in Lattices of Atomic Dipoles

Bettles

2017

Springer Theses

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Coherent radiation by an ensemble of scatterers can dramatically modify the ensemble's optical response. This can include, for example, enhanced and suppressed decay rates (superradiance and subradiance respectively), energy level shifts, and highly directional scattering. This behaviour is referred to as cooperative, since the scatterers in the ensemble behave as a collective rather than independently. In this Thesis, we investigate the cooperative behaviour of one-and two-dimensional arrays of interacting atoms.We calculate the extinction cross-section of these arrays, analysing how the cooperative eigenmodes of the ensemble contribute to the overall extinction. Typically, the dominant eigenmode if the atoms are driven by a uniform or Gaussian light beam is the mode in which the atomic dipoles oscillate in phase together and with the same polarisation as the driving field. The eigenvalues of this mode become strongly resonant as the atom number is increased. For a one-dimensional array, the location of these resonances occurs when the atomic spacing is an integer or half integer multiple of the wavelength, thus behaving analogously to a single atom in a cavity. The interference between this mode and additional eigenmodes can result in Fano-like asymmetric lineshapes in the extinction.We find that the kagome lattice in particular exhibits an exceptionally strong interference lineshape, like a cooperative analog of electromagnetically induced transparency.Triangular, square and hexagonal lattices however are typically dominated by one single mode which, for lattice spacings of the order of a wavelength, can be highly subradiant.This can result in near-perfect extinction of a resonant driving field, signifying a significant increase in the atom-light coupling efficiency. We show that this extinction is robust to possible experimental imperfections.

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“…Our focus is here on a weak driving, when the system presents a linear response to the field, i.e., the linear optics regime. The optical response of the system is given by a set of 3N coupled-dipole equations (CDEs) [28][29][30][31]:…”

Section: A Coupled-dipole Equationsmentioning

confidence: 99%

Van der Waals dephasing for Dicke subradiance in cold atomic clouds

Cipris,

Bachelard,

Kaiser

et al. 2020

Preprint

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We investigate numerically the role of near-field dipole-dipole interactions on the late emission dynamics of large disordered cold atomic samples driven by a weak field. Previous experimental and numerical studies of subradiance in macroscopic samples have focused on low-density samples of pure two-level atoms, without internal structure, which corresponds to a scalar representation of the light. The cooperative nature of the late emission of light is then governed by the resonant optical depth. Here, by considering the vectorial nature of the light, we show the detrimental role of the near-field terms on cooperativity in higher-density samples. The observed reduction in the subradiant lifetimes is interpreted as a signature of the inhomogeneous broadening due to the nearfield contributions, in analogy with the Van der Waals dephasing phenomenon for superradiance.

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Microscopic theory of photonic band gaps in optical lattices

Cited by 10 publications

References 29 publications

Light interacting with atomic ensembles: collective, cooperative and mesoscopic effects

Light interacting with atomic ensembles: collective, cooperative and mesoscopic effects

Cooperative Interactions in Lattices of Atomic Dipoles

Van der Waals dephasing for Dicke subradiance in cold atomic clouds

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