Farhan Saif

FERMI ACCELERATOR IN ATOM OPTICS

We study the classical and quantum dynamics of a Fermi accelerator realized by an atom bouncing off a modulated atomic mirror. We find that in a window of the modulation amplitude, dynamical localization occurs in both position and momentum. A recent experiment [A. Steane, P. Szriftgiser, P. Desbiolles, and J. Dalibard, Phys. Rev. Lett. 74, 4972 (1995)] shows that this system can be implemented experimentally.

Entanglement generation from deformed spin coherent states using a beam splitter

Using the linear entropy as a measure of entanglement, we investigate the effect of a beam splitter on the Perelomov coherent states for the q-deformed Uq(su(2)) algebra. We distinguish two cases: in the classical q → 1 limit, we find that the states become Glauber coherent states as the spin tends to infinity; whereas for q ≠ 1, the states, contrary to the earlier case, become entangled as they pass through a beam splitter. The entanglement strongly depends on the q-deformation parameter and the amplitude Z of the state.

Tunable fast and slow light in a hybrid optomechanical system

We explain the probe field transmission spectrum under the influence of a strong pump field in a hybrid optomechanical system, composed of an optical cavity, a mechanical resonator, and a two-level atom. We show fast (superluminal) and slow (subluminal) light effects of the transmitted probe field in the hybrid system for suitable parametric regimes. For the experimental accessible domain, we find that the fast light effect obtained for the single optomechanical coupling can further be enhanced with the additional atom-field coupling in the hybrid system. Furthermore, we report the existence of a tunable switch from fast to slow light by adjusting the atomic detuning with the anti-Stokes and Stokes sidebands, respectively, as

Engineering entanglement between two cavity modes

{\mathrm{\ensuremath{\Delta}}}_{a}=+{\ensuremath{\omega}}_{m}

Engineering entanglement between external degrees of freedom of atoms via Bragg scattering

and

Electromagnetically induced transparency and tunable fano resonances in hybrid optomechanics

\ensuremath{-}{\ensuremath{\omega}}_{m}

Engineering maximally entangled N-photon NOON field states using an atom interferometer based on Bragg regime cavity QED

. The reported characteristics are realizable in state-of-the-art laboratory experiments.

Critical exponents for a transition from integrability to non-integrability via localization of invariant tori in the Hamiltonian system

We present a scheme for the generation of entanglement between different modes of radiation field inside high-

Quantum recurrences in driven power-law potentials

Q

Recurrence tracking microscope

superconducting cavities. Our scheme is based on the interaction of a three-level atom with the cavity field for precalculated interaction times with each mode. This work enables us to generate a complete set of Bell basis states and a quantum entangled Greenberger-Horn-Zeilinger state.