In a quantum system of arrayed two-level atoms interacting with light, the interacted (dressed) photon is propagating in a periodic medium and its eigenstate ought to be of Bloch type with lattice symmetry. As the energy of photon is around the spacing between the two atomic energy levels, the photon will be absorbed and is not in the propagating mode but the attenuated mode. Therefore an energy gap exists in the dispersion relation of the photonic Bloch wave of dressed photon in addition to the nonlinear behaviors due to atom-light interactions. There follows several interesting results which are distinct from those obtained through a linear dispersion relation of free photon. For example, slow light can exist, the density of state of dressed photon is non-Lorentzian and is very large around the energy gap; the Rabi oscillations become monotonically decreasing in some cases; and besides the superradiance occurs at long wavelengths, the spontaneous emission is also very strong near the energy gap because of the high density of state.In a quantum system of arrayed two-level atoms interacting with light, the interacted (dressed) photon is propagating in a periodic medium and its eigenstate ought to be of Bloch type with lattice symmetry. As the energy of photon is around the spacing between the two atomic energy levels, the photon will be absorbed and is not in the propagating mode but the attenuated mode. Therefore an energy gap exists in the dispersion relation of the photonic Bloch wave of dressed photon in addition to the nonlinear behaviors due to atom-light interactions. There follows several interesting results which are distinct from those obtained through a linear dispersion relation of free photon. For example, slow light can exist, the density of state of dressed photon is non-Lorentzian and is very large around the energy gap; the Rabi oscillations become monotonically decreasing in some cases; and besides the superradiance occurs at long wavelengths, the spontaneous emission is also very strong near the energy gap because of the high density of state.

Scientific ReportsJan 18, 20184 citations

Interaction of Light with Atoms

Crispin W. Gardiner, P. Zoller

Springer series in synergeticsJan 1, 20000 citations

Controlling the s -wave scattering length with nonresonant light: Predictions of an asymptotic model

A. Crubellier, Rosario González‐Férez, Christiane P. Koch +1 more

A pair of atoms interacts with nonresonant light via its anisotropic polarizability. This effect can be used to tune the scattering properties of the atoms. Although the light-atom interaction varies with interatomic separation as $1/{R}^{3}$ , the effective $s$ -wave potential decreases more rapidly as $1/{R}^{4}$ such that the field-dressed scattering length can be determined without any formal difficulty. The scattering dynamics are essentially governed by the long-range part of the interatomic interaction and can thus be accurately described by an asymptotic model [A. Crubellier et al., New J. Phys. 17, 045020 (2015)]. Here we use the asymptotic model to determine the field-dressed scattering length from the $s$ -wave radial component of a particular threshold wave function. Applying our theory to the scattering of two strontium isotopes, we calculate the variation of the scattering length with the intensity of the nonresonant light. Moreover, we predict the intensities at which the scattering length becomes infinite for any pair of atoms.A pair of atoms interacts with nonresonant light via its anisotropic polarizability. This effect can be used to tune the scattering properties of the atoms. Although the light-atom interaction varies with interatomic separation as $1/{R}^{3}$, the effective $s$-wave potential decreases more rapidly as $1/{R}^{4}$ such that the field-dressed scattering length can be determined without any formal difficulty. The scattering dynamics are essentially governed by the long-range part of the interatomic interaction and can thus be accurately described by an asymptotic model [A. Crubellier et al., New J. Phys. 17, 045020 (2015)]. Here we use the asymptotic model to determine the field-dressed scattering length from the $s$-wave radial component of a particular threshold wave function. Applying our theory to the scattering of two strontium isotopes, we calculate the variation of the scattering length with the intensity of the nonresonant light. Moreover, we predict the intensities at which the scattering length becomes infinite for any pair of atoms.

arXiv:1611.07229Physical Review AFeb 8, 20179 citations

Interaction of Light with Atoms

Crispin W. Gardiner

Springer series in synergeticsJan 1, 19910 citations

Atom-Light Interactions

Jonathan D. Pritchard

Springer thesesJan 1, 20122 citations

Interaction of a laser double beam with the Bose-Einstein condensate of rarefied atomic gases

N. I. Shamrov

A quasi-resonant interaction of two oppositely directed light waves with the Bose-Einstein condensate of sodium vapor is studied using a semiclassical model at higher (dressing) and lower (probe) frequencies. It is demonstrated that, under the experimental conditions, a single state with nonzero momentum that corresponds to the absorption of a dressing photon and the emission of a probe photon is populated. A variation in the experimental conditions, in particular, an increase in the dressing-wave intensity or a decrease in the detuning of its resonance from the electronic transition under study can lead to the excitation of other atomic states whose momenta are codirectional and represent multiples of the given one. The shape of the probe pulse is found for various conditions of its interaction with the dressed condensate.A quasi-resonant interaction of two oppositely directed light waves with the Bose-Einstein condensate of sodium vapor is studied using a semiclassical model at higher (dressing) and lower (probe) frequencies. It is demonstrated that, under the experimental conditions, a single state with nonzero momentum that corresponds to the absorption of a dressing photon and the emission of a probe photon is populated. A variation in the experimental conditions, in particular, an increase in the dressing-wave intensity or a decrease in the detuning of its resonance from the electronic transition under study can lead to the excitation of other atomic states whose momenta are codirectional and represent multiples of the given one. The shape of the probe pulse is found for various conditions of its interaction with the dressed condensate.

Laser PhysicsJun 1, 20071 citation

1/{R}^{3}

, the effective

s

-wave potential decreases more rapidly as

1/{R}^{4}

such that the field-dressed scattering length can be determined without any formal difficulty. The scattering dynamics are essentially governed by the long-range part of the interatomic interaction and can thus be accurately described by an asymptotic model [A. Crubellier et al., New J. Phys. 17, 045020 (2015)]. Here we use the asymptotic model to determine the field-dressed scattering length from the

s

-wave radial component of a particular threshold wave function. Applying our theory to the scattering of two strontium isotopes, we calculate the variation of the scattering length with the intensity of the nonresonant light. Moreover, we predict the intensities at which the scattering length becomes infinite for any pair of atoms.