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Ginzburg-Landau theory for the Jaynes-Cummings-Hubbard model

Ginzburg-Landau theory for the Jaynes-Cummings-Hubbard model

We develop a Ginzburg-Landau theory for the Jaynes-Cummings-Hubbard model which effectively describes both static and dynamic properties of photons evolving in a cubic lattice of cavities, each filled with a two-level atom. To this end we calculate the effective action to first order in the hopping parameter. Within a Landau …