A single trapped ion in a finite range trap

This paper presents a method to describe dynamics of an ion confined in a realistic finite range trap. We model this realistic potential with a solvable one and we obtain dynamical variables (raising and lowering operators) of this potential. We consider coherent interaction of this confined ion in a finite range trap and we show that its center-of-mass motion steady state is a special kind of nonlinear coherent states. Physical properties of this state and their dependence on the finite range of potential are studied

Influence of phonons on exciton-photon interaction and photon statistics of a quantum dot

In this paper, we investigate, phonon effects on the optical properties of a spherical quantum dot. For this purpose, we consider the interaction of a spherical quantum dot with classical and quantum fields while the exciton of quantum dot interacts with a solid state reservoir. We show that phonons strongly affect the Rabi oscillations and optical coherence on first picoseconds of dynamics. We consider the quantum statistics of emitted photons by quantum dot and we show that these photons are anti-bunched and obey the sub-Poissonian statistics. In addition, we examine the effects of detuning and interaction of quantum dot with the cavity mode on optical coherence of energy levels. The effects of detuning and interaction of quantum dot with cavity mode on optical coherence of energy levels are compared to the effects of its interaction with classical pulse

Sensing Quantum Nature of Primordial Gravitational Waves Using Quantum Electromagnetic Fields

We establish a new formalism to describe the interaction of an optical system with a background of gravitational waves based on optical medium analogy. Besides reproducing the basic formula for the response of a LISA-type interferometer in terms of the phase shift of light, other classical observables of the electromagnetic field such as light-bending, walk-off angle and Stokes parameters are investigated. At the quantum level, this approach enables us to construct a full quantum Hamiltonian describing both electromagnetic and gravitational waves as quantum entities. It turns out that the effective coupling between the electromagnetic field and gravitational wave background resembles an opto-mechanical coupling. This points to a new strategy to evident non-classical nature of gravity within the reach of future optical experiments. As an illustrative application, we investigate the optical quadrature variance as well as the power spectrum of a laser field interacting with a background of primordial gravitational wave. The effect of the relic background of quantized gravitational waves on the optical variance is analogous to the effect of a classical mechanical oscillator, which stabilizes the optical variance. It also acts similar to a Doppler-broadening mechanism which broadens the line-width of the laser field of optical frequency by $10^{-6}$Hz. This line-width broadening and also appearance of side-bands in the spectrum of light could serve as signatures of the highly squeezed nature of primordial gravitational waves