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arXiv:quant-ph/0312189 · Physical Review A

Quantum-state transfer between fields and atoms in electromagnetically induced transparency

Aurélien Dantan, M. Pinard

Published Apr 9, 2004• 111 citations
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Abstract

We show that a quasiperfect quantum-state transfer between an atomic ensemble and fields in an optical cavity can be achieved in electromagnetically induced transparency (EIT). A squeezed vacuum field state can be mapped onto the long-lived atomic spin associated to the ground-state sublevels of the $\ensuremath{\Lambda}$-type atoms considered. The EIT on-resonance situation show interesting similarities with the Raman off-resonant configuration. We then show how to transfer the atomic squeezing back to the field exiting the cavity, thus realizing a quantum memory--type operation.

DOI
10.1103/physreva.69.043810

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We show that a quasiperfect quantum-state transfer between an atomic ensemble and fields in an optical cavity can be achieved in electromagnetically induced transparency (EIT). A squeezed vacuum field state can be mapped onto the long-lived atomic spin associated to the ground-state sublevels of the \ensuremathΛ\ensuremath{\Lambda}\ensuremathΛ-type atoms considered. The EIT on-resonance situation show interesting similarities with the Raman off-resonant configuration. We then show how to transfer the atomic squeezing back to the field exiting the cavity, thus realizing a quantum memory--type operation.
We show that a quasi-perfect quantum state transfer between anatomic ensemble and fields in an optical cavity can be achieved inElectromagnetically Induced Transparency (EIT). A squeezedvacuum field state can be mapped onto the long-lived atomic spinassociated to the ground state sublevels of the Lambda-typeatoms considered. The EIT on-resonance situation show interesting similaritieswith the Raman off-resonant configuration. We then show how totransfer the atomic squeezing back to the field exiting the cavity,thus realizing a quantum memory-type operation.
We study here a different scheme involving a large ensemble of Lambda-type atoms, a control field, and the field to be stored and show how to transfer with a nearly 100% efficiency a quantum state of light (squeezed vacuum) into the ground state coherence of a spin-polarized atomic cloud. We find the best transfer conditions between the two oscillators. The quantum states are well conserved in two seemingly different situations: in the so-called electromagnetically-induced-transparency (EIT) situation (on one-and two-photon resonance) and in a Raman configuration (on two-photon resonance, but for large one-photon detunings). If both situations share interesting similarities in terms of transfer efficiency, and noise spectra, the physical effects responsible for the ideal mapping are quite different, and make the use of both room-temperature and cold atoms possible.
The interaction of classical and quantized electromagnetic fields with an ensemble of atoms in an optical cavity is considered. Four fields drive a double-lambda level scheme in the atoms, consisting of a pair of lambda systems sharing the same set of lower levels. Two of the fields produce maximum coherence, rho12 = -1/2, between the ground state sublevels 1 and 2. This pumping scheme involves equal intensity fields that are resonant with both the one and two-photon transitions of the lambda system. There is no steady-state absorption of these fields, implying that the fields induce a type electromagnetically-induced transparency (EIT) in the medium. An additional pair of fields interacting with the second lambda system, combined with the EIT fields, leads to squeezing of the atom spin associated with the ground state sublevels. Our method involves a new mechanism for creating steady-state spin squeezing using an optical cavity. As the cooperativity parameter C is increased, the optimal squeezing varies as C^{-1/3}. For experimentally accessible values of C, squeezing as large as 90% can be achieved.
We present a quantum mechanical treatment for both atomic and field fluctuations of an atomic ensemble interacting with propagating fields, either in electromagnetically induced transparency (EIT) or in a Raman situation. The atomic spin noise spectra and the outgoing field spectra are calculated in both situations. For suitable parameters both EIT and Raman schemes efficiently preserve the quantum state of the incident probe field in the transfer process with the atoms, although a single-pass scheme is shown to be intrinsically less efficient than a cavity scheme.
We theoretically studied the implementation of a quantum memory and an optical transistor in a system composed by a single atom trapped inside a high finesse cavity. In order to store and map the quantum state of an input pulse onto internal states of the single atom (quantum memory) we employ the electromagnetically induced transparency (EIT) phenomenon (which can work out as an optical transistor) where the information can be transferred to the dark state of the atom modelled by a three-level system in a Λ-type configuration. In our model we consider a suitable temporal shape for the control field that ensures the adiabaticity of the storage process and retrieval of the probe pulse. The dynamic of the field inside the cavity was obtained by master equation approach, while the outside field was calculated by input-output formalism. We have analysed two different setups: i) two-sided and ii) single-sided cavities. While the first setup is the most appropriate and commonly used to observe cavity-EIT in the transmission spectrum, thus the best configuration for the optical transistor, the maximum quantum memory efficiency can not reach reasonable values, being limited to 50% for symmetric cavities. On the other hand, with single-sided cavity the quantum memory efficiency increases considerably and can reach values close to 100% in the strong atom-field coupling regime. However this specific setup is not favourable to observe the cavity-EIT effect in the transmission spectrum and then it is not appropriate to control the transmission of light pulses.