The dynamical mean-field theory formalism to describe nonresonant inelastic light and x-ray scattering in a charge-density-wave phase is developed and applied to the spinless Falicov-Kimball model on an infinite-dimensional hypercubic lattice at half-filling. At zero temperature, the charge gap in the density of states is exactly equal to $U$ ; increasing the temperature rapidly fills the gap with subgap states. The nonresonant response function for Raman and inelastic x-ray scattering shows peaks connected with transitions over the gap and transitions that involve subgap states; in addition, the spectra have significant changes in shape as the temperature is raised from zero to ${T}_{c}$ . In the case of x-ray scattering (when both energy and momentum are transferred), the response function illustrates features of dynamical screening (vertex corrections) in the different (nonresonant) symmetry channels ( ${A}_{1g}$ and ${B}_{1g}$ ); dynamical screening is also present in the ${A}_{1g}$ Raman signal. Finally, we derive and verify the first-moment sum rules for the (nonresonant) Raman and inelastic x-ray response functions in the charge-density-wave phase and we discuss experimental implications for how the sum rules might be employed in data analysis.The dynamical mean-field theory formalism to describe nonresonant inelastic light and x-ray scattering in a charge-density-wave phase is developed and applied to the spinless Falicov-Kimball model on an infinite-dimensional hypercubic lattice at half-filling. At zero temperature, the charge gap in the density of states is exactly equal to $U$; increasing the temperature rapidly fills the gap with subgap states. The nonresonant response function for Raman and inelastic x-ray scattering shows peaks connected with transitions over the gap and transitions that involve subgap states; in addition, the spectra have significant changes in shape as the temperature is raised from zero to ${T}_{c}$. In the case of x-ray scattering (when both energy and momentum are transferred), the response function illustrates features of dynamical screening (vertex corrections) in the different (nonresonant) symmetry channels (${A}_{1g}$ and ${B}_{1g}$); dynamical screening is also present in the ${A}_{1g}$ Raman signal. Finally, we derive and verify the first-moment sum rules for the (nonresonant) Raman and inelastic x-ray response functions in the charge-density-wave phase and we discuss experimental implications for how the sum rules might be employed in data analysis.

arXiv:0809.5284Physical Review BMar 27, 20094 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 between atoms in the field of a strong light wave

Boris P. Antonyuk

Physics Letters AJun 1, 19900 citations

Resonance broadening in a strong light field

S. P. Andreev, Valerii S. Lisitsa

Journal of Experimental and Theoretical PhysicsJan 1, 19771 citation

High-intensity optical-field population transfer between eigenstates

Anonymous, Yasuhiro Ohshima

Two types of coherent population transfer are developed using nonresonant intense ultrashort optical pulses. Transition-restricted wave-packet interference (WPI) achieves almost complete population transfer to the nearest state from the initial state. High-intensity optical-field population transfer between eigenstates (HOPE) also enables state-selective excitation of higher-lying states, exhibiting features of ac Stark-induced multiphoton Rabi oscillation and multipulse WPI. Experimentally, rotational excitation of nitric oxide from J = 1 / 2 to J = 3 / 2 via restricted WPI, and to J = 5 / 2 , 7 / 2 , and 9 / 2 via HOPE, was demonstrated with respective efficiencies of 90%, 85%, 70%, and 17%.Two types of coherent population transfer are developed using nonresonant intense ultrashort optical pulses. Transition-restricted wave-packet interference (WPI) achieves almost complete population transfer to the nearest state from the initial state. High-intensity optical-field population transfer between eigenstates (HOPE) also enables state-selective excitation of higher-lying states, exhibiting features of ac Stark-induced multiphoton Rabi oscillation and multipulse WPI. Experimentally, rotational excitation of nitric oxide from J = 1 / 2 to J = 3 / 2 via restricted WPI, and to J = 5 / 2 , 7 / 2 , and 9 / 2 via HOPE, was demonstrated with respective efficiencies of 90%, 85%, 70%, and 17%.

APS Open ScienceSep 8, 20260 citations

U

; increasing the temperature rapidly fills the gap with subgap states. The nonresonant response function for Raman and inelastic x-ray scattering shows peaks connected with transitions over the gap and transitions that involve subgap states; in addition, the spectra have significant changes in shape as the temperature is raised from zero to

{T}_{c}

. In the case of x-ray scattering (when both energy and momentum are transferred), the response function illustrates features of dynamical screening (vertex corrections) in the different (nonresonant) symmetry channels (

{A}_{1g}

and

{B}_{1g}

); dynamical screening is also present in the

{A}_{1g}

Raman signal. Finally, we derive and verify the first-moment sum rules for the (nonresonant) Raman and inelastic x-ray response functions in the charge-density-wave phase and we discuss experimental implications for how the sum rules might be employed in data analysis.

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.