Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-06-07
Phys. Rev. A 84, 013813 (2011)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
12 pages, 8 figures
Scientific paper
10.1103/PhysRevA.84.013813
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 both for photonic and atomic states, a cubic-quintic complex nonlinear Schrodinger equation (CNLSE) is derived for the dynamics of coupled atom-light states - wave function of low branch (LB) polaritons, associated with PolC in the continuous limit. The 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 appear due to a three body polariton interaction. Studying non-equilibrium (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.
Alodjants A. P.
Arakelian S. M.
Lee Ray-Kuang
Lin Yangtin
Sedov E. S.
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