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Symmetric control of Rydberg ensembles.

Tyler Keating, Grant W. Biedermann, Yuan‐Yu Jau

Published Jun 1, 2015• 0 citations
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We study the production of arbitrary superpositions of Dicke states via optimal control. We show that N atomic hyperfine qubits, interacting symmetrically via the Rydberg blockade, are well described by the Jaynes-Cummings Hamiltonian and fully controllable by phase-modulated microwaves driving Rydberg-dressed states. With currently feasible parameters, it is possible to generate states of ∼ten hyperfine qubits in ∼1 μs, assuming a fast microwave phase switching time. The same control can be achieved with a "dressed-ground control" scheme, which reduces the demands for fast phase switching at the expense of increased total control time.
PT\cal{PT}PT -symmetry in Rydberg atoms
We propose a scheme to realize parity-time ( PT )-symmetry in an ensemble of strongly interacting Rydberg atoms, which act as superatoms due to the dipole blockade mechanism. We show that Rydberg-dressed 87 Rb atoms in a four-level inverted Y -type configuration is highly efficient to generate the refractive index for a probe field, with a symmetric (antisymmetric) profile spatially in the corresponding real (imaginary) part. Comparing with earlier investigations, the present scheme provides a versatile platform to control the system from PT -symmetry to non- PT -symmetry via different external parameters, i.e. , coupling field detuning, probe field intensity and control field intensity.