Nonlinear properties and stabilities of polaritonic crystals beyond the low-excitation-density limit

Journal Article · Fri Jul 15 00:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.013813· OSTI ID:22058772

Sedov, E S; Alodjants, A P; Arakelian, S M; Lin, Y Y; Lee, R -K ^[1]

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1. Department of Physics and Applied Mathematics, Vladimir State University, Gorky Street 87, RU-600000 Vladimir (Russian Federation)

Coherent properties of a two-dimensional spatially periodic structure, polaritonic crystal (PolC) formed by trapped two-level atoms in an optical cavity array interacting with a light field, are analyzed. By considering the wave function overlapping for both photonic and atomic states, a cubic-quintic complex nonlinear Schroedinger equation is derived for the dynamics of coupled atom-light states, wave function of low-branch polaritons, associated with PolC in the continuous limit. A variational approach predicts that a stable ground-state wave function of PolC exists but is accompanied by an oscillating width. For a negative scattering length, the wave function collapses in the presence of a small quintic nonlinearity appearing due to a three-body polariton interaction. By studying the nonequilibrium (dissipative) dynamics of polaritons with adiabatic approximation, we have shown that the collapse of PolC wave function can be prevented even in the presence of small decaying of a number of polariton particles.

• OSTI ID: 22058772
• Journal Information: Physical Review. A, Vol. 84, Issue 1; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ADIABATIC APPROXIMATION
ATOMS
CRYSTALS
GROUND STATES
NONLINEAR PROBLEMS
POLARONS
SCATTERING LENGTHS
SCHROEDINGER EQUATION
THREE-BODY PROBLEM
TWO-DIMENSIONAL CALCULATIONS
VARIATIONAL METHODS
VISIBLE RADIATION
WAVE FUNCTIONS