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Nanosystems Physics Chemistry Mathematics

LOCALIZED STATES AND STORAGE OF OPTICAL INFORMATION UNDER THE QUBIT-LIGHT INTERACTION IN MICRO-SIZE CAVITY ARRAYS

Evgeny S. Sedov, Sergei M Arakelyan, A. P. Alodjants

Published Jan 1, 2014• 0 citations
OpenAlex

Abstract

We suggest the model of lattice low branch (LB) polaritons based on the array of weakly coupled microsize cavities, each containing a small but macroscopic number of two-level systems (qubits). We reveal various dynamical regimes, such as diffusive, self-trapped, breathing and solitonic for polariton wave packet propagation under tight-binding approximation. We focus our attention on the bright polariton soliton formation in a high quality cavity array emerging due to two-body polariton-polariton scattering processes that take place at each cavity under the qubit-light interaction. A physical algorithm for the spatially distributed storage of optical information where various dynamical LB polariton soliton states are used is proposed. This algorithm can be realized with the help of manipulating group velocity of a polariton soliton in the cavity array and obtained by smooth variation of qubit-light detuning.

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Considering two-level media in the array of weakly coupled nanocavities, we reveal a variety of dynamical regimes, such as diffusion, self-trapping, soliton, and breathers for the wave packets in the presence of photon tunneling processes between the next-nearest cavities. We focus our attention on the low-branch bright polariton soliton formation, due to the two-body polariton-polariton scattering processes. When detuning frequency is manipulated adiabatically, the low-branch lattice polariton localized states, i.e., solitons and breathers evolving between photonlike and matterlike states, are shown to act as carriers for spatially distributed storage and retrieval of optical information.
We examine the problem of polariton soliton formation in the array of weakly coupled optical cavities, each containing an ensemble of ultracold non-interacting two-level atoms. An effective complex Ginzburg-Landau equation (GLE) is derived in the continuum limit taking into account the effects of cavity field dissipation and atomic polarization dephasing. Bright solitons are found to be supported under perturbations only in the upper (optical) branch of polaritons, for which the corresponding group velocity is controlled by tuning the atom-light detuning. With the help of perturbation theory for solitons, we also demonstrate that the group velocity of these polariton solitons is suppressed by the diffusion process.
We reveal the existence of polariton soliton solutions in the array of weakly coupled optical cavities, each containing an ensemble of interacting qubits. An effective, complex Ginzburg-Landau equation is derived in the continuum limit, taking into account the effects of cavity field dissipation and qubit dephasing. We have shown that an enhancement of the induced nonlinearity can be achieved by two orders of magnitude with negative interaction strength, which implies a large negative qubit-field detuning as well. Bright solitons are found to be supported under perturbations only in the upper (optical) branch of polaritons, for which the corresponding group velocity is controlled by tuning the interacting strength. With the help of perturbation theory for solitons, we also demonstrate that the group velocity of these polariton solitons is suppressed by the diffusion process.
A new developed for storing quantum information on atomic polaritons being at thermal equilibrium is developed for the first time. We propose a new type of spatially periodic structure - polaritonic crystal (PolC) formed by trapped two-level atoms interacting with quantum electromagnetic field in one-dimensional array of tunnelcoupled microcavities, which allows polaritons to be fully localized. The quantum degeneracy and phase transition to superfluid (Bardeen-Cooper-Schrieffer-type) state for low branch polaritons is discussed. The principal result is that the group velocity of polaritons depends essentially on the order parameter of the system, i.e. on the average photon number in the cavity array. An algorithm for the spatially distributed writing, storing, and retrieving of quantum optical information using polariton wave packet propagated in the cavity array is examined. To take into account decoherence processes in polaritonic system the quantum Brownian particle model is discussed as well.
The propagation of optical wave packets in the atomic medium that is placed inside the cavity is considered under the conditions for the strong coupling of atoms and the quantized field. Primary attention is paid to the mechanisms for the formation of coherent polaritons determined by the bound state of the optical field and atomic medium at the lower branch of the dispersion curves of these states. Significant variations (slowing) in the group velocity of the optical wave packets under quasi-condensation (or true condensation) conditions of polaritons are analyzed. An algorithm for the spatially distributed quantum recording, storage, and readout of the information related to the wave packet propagation is proposed.