18 research outputs found
Nonlinear interaction of light with Bose-Einstein condensate: new methods to generate subpoissonian light
We consider -type model of the Bose-Einstein condensate of sodium
atoms interacting with the light. Coefficients of the Kerr-nonlinearity in the
condensate can achieve large and negative values providing the possibility for
effective control of group velocity and dispersion of the probe pulse. We find
a regime when the observation of the "slow" and "fast" light propagating
without absorption becomes achievable due to strong nonlinearity. An effective
two-level quantum model of the system is derived and studied based on the su(2)
polynomial deformation approach. We propose an efficient way for generation of
subpoissonian fields in the Bose-Einstein condensate at time-scales much
shorter than the characteristic decay time in the system. We show that the
quantum properties of the probe pulse can be controlled in BEC by the classical
coupling field.Comment: 13 pages, 6 figures, 1 tabl
An algebraic approach to the Tavis-Cummings problem
An algebraic method is introduced for an analytical solution of the
eigenvalue problem of the Tavis-Cummings (TC) Hamiltonian, based on
polynomially deformed su(2), i.e. su_n(2), algebras. In this method the
eigenvalue problem is solved in terms of a specific perturbation theory,
developed here up to third order. Generalization to the N-atom case of the Rabi
frequency and dressed states is also provided. A remarkable enhancement of
spontaneous emission of N atoms in a resonator is found to result from
collective effects.Comment: 13 pages, 7 figure
Models of coherent exciton condensation
That excitons in solids might condense into a phase-coherent ground state was
proposed about 40 years ago, and has been attracting experimental and
theoretical attention ever since. Although experimental confirmation has been
hard to come by, the concepts released by this phenomenon have been widely
influential. This tutorial review discusses general aspects of the theory of
exciton and polariton condensates, focussing on the reasons for coherence in
the ground state wavefunction, the BCS to Bose crossover(s) for excitons and
for polaritons, and the relationship of the coherent condensates to standard
lasers.Comment: 27 pages, 6 figures. Submitted for a special issue of J. Phys. Cond.
Matt. associated with the EU network "Photon-mediated phenomena in
semiconductor nanostructures
Slow-light solitons: Influence of relaxation
We have applied the transformation of the slow-light equations to the
Liouville theory that we developed in our previous work, to study the influence of relaxation on the soliton dynamics. We solved the
problem of the soliton dynamics in the presence of relaxation and found that the spontaneous emission from the upper atomic level is
strongly suppressed. Our solution proves that the spatial shape of the soliton is well preserved even if the relaxation time is much
shorter than the soliton time length. This fact is of great importance for applications of the slow-light soliton concept in
optical information processing. We also demonstrate that relaxation plays a role of resistance to the soliton motion and
slows the soliton down even if the controlling field is constant