Abstract:
We consider the superfluidity properties of a two-dimensional system of
polaritons in an optical cavity. Deriving an expression for the effective
low-energy action for thermodynamic phase fluctuations, we simultaneously
obtain the expression for an analogue of superfluid density in the system in
terms of the current–current correlation function and also find
the expression for the current operator. We describe the Bogoliubov approximation
for a polariton system and calculate the superfluid density. We discuss
the Berezinskii–Kosterlitz–Thouless transition in the system under study.
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