Phase transitions and dark-state physics in two-color superradiance

Details Phase transitions and dark-state physics in two-color superradiance Phase transitions and dark-state physics in two-color superradiance

2011-09-12

arxiv.org/abs/1109.2456v2

Phys. Rev. A 84, 053856 (2011)

Physics

Quantum Physics

9 pages, 6 figures

Scientific paper

10.1103/PhysRevA.84.053856

We theoretically study an extension of the Dicke model, where the single-particle Hamiltonian has three energy levels in Lambda-configuration, i.e. the excited state is coupled to two non-degenerate ground states via two independent quantized light fields. The corresponding many-body Hamiltonian can be diagonalized in the thermodynamic limit with the help of a generalized Holstein--Primakoff transformation. Analyzing the ground-state energy and the excitation energies, we identify one normal and two superradiant phases, separated by phase transitions of both first and second order. A phase with both superradiant states coexisting is not stable. In addition, in the limit of two degenerate ground states a dark state emerges, which seems to be analogous to the dark state appearing in the well known stimulated Raman adiabatic passage scheme.

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