Superradiance of cold atoms coupled to a superconducting circuit

Abstract

We investigate superradiance of an ensemble of atoms coupled to an integrated superconducting LC-circuit. Particular attention is paid to the effect of inhomogeneous coupling constants. Combining perturbation theory in the inhomogeneity and numerical simulations we show that inhomogeneous coupling constants can significantly affect the superradiant relaxation process. Incomplete relaxation terminating in "dark states" can occur, from which the only escape is through individual spontaneous emission on a much longer time scale. The relaxation dynamics can be significantly accelerated or retarded, depending on the distribution of the coupling constants. On the technical side, we also generalize the previously known propagator of superradiance for identical couplings in the completely symmetric sector to the full exponentially large Hilbert space.

26 pages, 5 figures

References in corpus (7)

• Controlling the spontaneous emission of a superconducting transmon qubit
• Is there a no-go theorem for superradiant quantum phase transitions in cavity and circuit QED ?
• Strong magnetic coupling of an ultracold gas to a superconducting waveguide cavity
• Reversible state transfer between superconducting qubits and atomic ensembles
• Quantum information processing with single photons and atomic ensembles in microwave coplanar waveguide resonators
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Cited by in corpus (4)

• Strong magnetic coupling of an inhomogeneous NV ensemble to a cavity
• Controlling the magnetic field sensitivity of atomic clock states by microwave dressing
• Master equation for collective spontaneous emission with quantized atomic motion
• Non-equilibrium dynamics of the Dicke model for mesoscopic aggregates: signatures of superradiance