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Laser Physics Letters

Coherent control of interaction and entanglement of a Rydberg atom with few photons

Polina R. Sharapova, Olga V. Tikhonova

Published Jun 7, 2013• 5 citations
Publisher

Abstract

The interaction of a model Rydberg atom with a single photon quantum field is investigated. The atom is considered in the model of 'several bound states+continuum', so that the field-induced ionization from initially populated Rydberg states as well as the resonance coupling with a lower-lying bound state are taken into account. The significant suppression of the ionization due to interference mechanism is established and strong entanglement with a quantum field subsystem is found. Methods to control the atomic behavior and to produce strongly entangled atom–photon states are suggested. The possibility to measure the degree of entanglement experimentally is demonstrated.

DOI
10.1088/1612-2011/10/7/075204

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The interaction of a model Rydberg atom with a single photon quantum field is investigated. The atom is considered in the model of 'several bound states+continuum', so that the field-induced ionization from initially populated Rydberg states as well as the resonance coupling with a lower-lying bound state are taken into account. The significant suppression of the ionization due to interference mechanism is established and strong entanglement with a quantum field subsystem is found. Methods to control the atomic behavior and to produce strongly entangled atom–photon states are suggested. The possibility to measure the degree of entanglement experimentally is demonstrated.
The dynamics of a model Rydberg atom in a strong nonclassical electromagnetic field is investigated. The field-induced transitions to the continuum involving different numbers of photons (with intermediate states in the discrete spectrum) are taken into account and the specific features of ionisation in 'squeezed' field states are considered in comparison with the case of classical light. A significant decrease in the ionisation rate is found, which is caused by the interference stabilisation of the atomic system. The entanglement of the atomic and field subsystems, the temporal dynamics of the correlations found, and the possibility of measuring them are analysed.
The dynamics a model Rydberg atom prepared initially in a mixed state is investigated in a classical laser field. The possibility of interference stabilization regime is studied and the influence of parameters of initial mixed state on the ionization process is analyzed. In the case when initial atomic mixed state is formed due to entanglement with few-photon non-classical light the possibility to extract the information about initial atomic density matrix from the atomic behavior in the further applied classical laser field is discussed.
Strong-field ionization of Rydberg atoms is investigated in its dependence on phase features of the initial coherent population of Rydberg levels. In the case of a resonance between Rydberg levels and some lower-energy atomic level (V-type transitions), this dependence is shown to be very strong: by a proper choice of the initial population an atom can be made either completely or very little ionized by a strong laser pulse. It is shown that phase features of the initial coherent population of Rydberg levels and the ionization yield can be efficiently controlled in a scheme of ionization by two strong laser pulses with a varying delay time between them.
The ionization dynamics of two interacting Rydberg atoms in a strong laser field has been investigated. Each atom has been described in the “two discrete levels + continuum” model. Quasienergy states in this system, which describe field-dressed atoms, have been studied. It has been shown that one of the quasienergy states corresponds to the formation of an atomic state stable against ionization, which leads to the interference stabilization regime first observed in the case of individual atoms in [M. V. Fedorov and A. M. Movsesian, J. Phys. B 21 , L155 (1988)]. Methods for creating entangled states in this system have been proposed and the dynamics of entanglement in the process of interaction with the laser field has been analyzed.
It is shown that the rate and degree of ionization of an atom can be controlled by preparing a specific superposition of Rydberg states. This effect is due to the Raman interaction of Rydberg levels via resonant lower-lying levels of the atom. Depending on the initial population of an atom interacting with a strong laser field, the atom either ionizes completely or exhibits an extremely high degree of stability (in this case the probability of the atom remaining in a bound state when the laser pulse is switched off is close to 1). It is shown that states which are stable against ionization decay or, conversely, decay rapidly into the continuum can be prepared using double laser pulses with a controllable time delay.
Integrating Rydberg-state control of atom-atom interactions with cavity control of atom-light interactions enables the combination of local entangling operations with photon-mediated long-range coupling, measurement, and communication. Such integration is challenging because electric fields generated by charges on cavity optics and by cavity-stabilizing actuators may disturb Rydberg-state coherence. Here, we couple a Rydberg tweezer array to a high-cooperativity optical cavity, suppressing the electric fields produced by cavity length actuation so that the residual field variation of about 3 mV/cm3~\mathrm{mV/cm}3 mV/cm rms does not limit Rydberg coherence. We demonstrate two capabilities that neither system provides alone. First, we use Purcell-enhanced fluorescence to read out atoms directly in the ground-Rydberg basis within 7.5 μs7.5~μ\mathrm{s}7.5 μs, well within the Rydberg-state lifetime, with ground- and Rydberg-state detection infidelities of 3%3\%3% and 5%5\%5%, respectively, and with low atom loss. Second, we use Rydberg-Rydberg interactions to control collective light-atom scattering into the cavity mode. Specifically, we drive blockaded Rabi oscillations between a state with two ground-state atoms, which scatter collectively with a superradiant or subradiant rate controlled by the atomic positions, and an entangled state with a single Rydberg excitation, which scatters like a single atom. These capabilities open routes toward networked Rydberg processors, mid-circuit measurements in analog quantum simulators, and many-body quantum optics with entangled emitters coupled collectively to light.