Elements of Quantum Optics

We consider the motion of the end mirror of a cavity in whose standing wave mode pattern atoms are trapped. The atoms and the light field strongly couple to each other because the atoms form a distributed Bragg mirror with a reflectivity that can be fairly high. We analyze how the dipole potential in which the atoms move is modified due to this backaction of the atoms. We show that the position of the atoms can become bistable. These results are of a more general nature and can be applied to any situation where atoms are trapped in an optical lattice inside a cavity and where the backaction of the atoms on the light field cannot be neglected. We analyze the dynamics of the coupled system in the adiabatic limit where the light field adjusts to the position of the atoms and the light field instantaneously and where the atoms move much faster than the mirror. We calculate the side band spectrum of the light transmitted through the cavity and show that these spectra can be used to detect the coupled motion of the atoms and the mirror.

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“…It is well known [21] that for large detuning, optically driving the atoms results in the polarization…”

Section: Light Fieldmentioning

confidence: 99%

Coupled dynamics of atoms and radiation-pressure-driven interferometers

Meiser

Meystre

2006

Phys. Rev. A

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“…In this picture, an individual two-level system consists of the manifold of beam and grating states {|k − q/2 , |k + q/2 } for all states with |k| < k F,g and |k| < k F,b for the grating and beam atoms, respectively. We proceed by introducing the associated Bloch vectors [23],…”

Section: Numerical Resultsmentioning

confidence: 99%

Four-wave mixing in degenerate Fermi gases: Beyond the undepleted pump approximation

Miyakawa

Christ

et al. 2003

Phys. Rev. A

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We analyze the full nonlinear dynamics of the four-wave mixing between an incident beam of fermions and a fermionic density grating. We find that when the number of atoms in the beam is comparable to the number of atoms forming the grating, the dephasing of that grating, which normally leads to a decay of its amplitude, is suppressed. Instead, the density grating and the beam density exhibit large nonlinear coupled amplitude oscillations. In this case four-wave mixing can persist for much longer times compared to the case of negligible back-action. We also evaluate the efficiency of the four-wave mixing and show that it can be enhanced by producing an initial density grating with an amplitude that is less than the maximum value. These results indicate that efficient four-wave mixing in fermionic alkali gases should be experimentally observable.

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“…Spontaneous Raman scattering is hence neglected in our approach. Using the second-order wave equation for the electric field and assuming the slowly varying envelope approximation [29] the envelope evolves according to…”

Section: Theoretical Approachmentioning

confidence: 99%

Stimulated resonant x-ray Raman scattering with incoherent radiation

Weninger

Rohringer

2013

Phys. Rev. A

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We present a theoretical study on stimulated electronic Raman scattering in neon by resonant excitation with an x-ray free electron laser (XFEL). This study is in support of the recent experimental demonstration [C. Weninger et al., Phys. Rev. Lett. (to be published)] of stimulated x-ray Raman scattering. Focusing the broadband XFEL pulses into a cell of neon gas at atmospheric pressure a strong inelastic x-ray scattering signal in the forward direction was observed, as the x-ray energy was varied across the region of core-excited Rydberg states and the K edge. The broadband and intrinsically incoherent x-ray pulses from the XFEL lead to a rich, structured line shape of the scattered radiation. We present a generalized Maxwell-Liouville-von Neumann approach to self-consistently solve for the amplification of the scattered radiation along with the time evolution of the density matrix of the atomic and residual ionic system. An in-depth analysis of the evolution of the emission spectra as a function of the Raman gain is presented. Furthermore, we propose the use of statistical methods to obtain high-resolution scattering data beyond the lifetime broadening despite pumping with incoherent x-ray pulses.

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Elements of Quantum Optics

Cited by 543 publications

References 0 publications

Coupled dynamics of atoms and radiation-pressure-driven interferometers

Coupled dynamics of atoms and radiation-pressure-driven interferometers

Four-wave mixing in degenerate Fermi gases: Beyond the undepleted pump approximation

Stimulated resonant x-ray Raman scattering with incoherent radiation

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