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Quantum Zeno Effect and Quantum Zeno Dynamics in Cavity Quantum Electrodynamics

I. Dotsenko, C. Sayrin, S. Gleyzes, I. Dotsenko, M. Brune, S. Haroche, Paolo Facchi A, Saverio Pascazio

Published Jan 1, 2011• 1 citation
Publisher

Abstract

We describe a cavity QED experiment on quantum Zeno effect with Rydberg atoms and a microwave superconducting cavity. We propose an implementation of quantum Zeno dynamics leading to promising methods for tailoring nonclassical field states.
DOI
10.1364/qels.2011.qthb2

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Quantum Zeno Dynamics restricts the evolution of a system in a tailorable subspace of the Hilbert space by repeated measurements of a proper observable. This restricted dynamics can be counterintuitive and lead to the generation of interesting nonclassical states. We describe an experiment implementing the Zeno dynamics in an atomic Rydberg level manifold, and we propose an implementation in the cavity quantum electrodynamics context. Both systems open promising perspectives for quantum-enabled metrology and decoherence studies.
We analyze the quantum Zeno dynamics that takes place when a field stored in a cavity undergoes frequent interactions with atoms. We show that repeated measurements or unitary operations performed on the atoms probing the field state confine the evolution to tailored subspaces of the total Hilbert space. This confinement leads to nontrivial field evolutions and to the generation of interesting nonclassical states, including mesoscopic field state superpositions. We elucidate the main features of the quantum Zeno mechanism in the context of a state-of-the-art cavity quantum electrodynamics experiment. A plethora of effects is investigated, from state manipulations by phase space tweezers to nearly arbitrary state synthesis. We analyze in details the practical implementation of this dynamics and assess its robustness by numerical simulations including realistic experimental imperfections. We comment on the various perspectives opened by this proposal.
We propose an experiment for the observation of the quantum Zeno effect (QZE) in a bipartite system. The setup involves two microwave cavities and a ``tunneling'' photon, which is observed by the passage of Rydberg atoms. Our proposal allows for the consideration of two types of measurements, namely, sequential observations of the atomic state and its inclusive measurement. In the present system the two processes are shown to lead to the same result in the ideal case. We consider realistic atom-field interaction times, cavity dissipation, and limited detection efficiency. Analytical expressions for the ``tunneling'' probability are obtained exhibiting a competition between the environment induced exponential decay and the characteristic t2{t}^{2}t2 (for short times) dependence of the QZE. We show that for sufficiently small dissipation constants the effect can be observed with current experimental facilities.
We discuss an implementation of quantum Zeno dynamics in a cavity quantum electrodynamics experiment. By performing repeated unitary operations on atoms coupled to the field, we restrict the field evolution in chosen subspaces of the total Hilbert space. This procedure leads to promising methods for tailoring nonclassical states. We propose to realize "tweezers" picking a coherent field at a point in phase space and moving it towards an arbitrary final position without affecting other nonoverlapping coherent components. These effects could be observed with a state-of-the-art apparatus.
After a brief review of experiments realized on optical fields, the author will focus on recent cavity quantum electrodynamics (cavity QED) studies performed on a microwave field trapped between highly reflecting superconducting mirrors and probed by Rydberg atoms. Exotic Fock and Schrodinger cat states of radiation are generated, kept in a cavity for an observable time and reconstructed in details. The decoherence of these states - i.e. their progressive transformation into mundane classical states under the effect of their coupling to the environment - is recorded in real time, realizing a detailed exploration of the quantum to classical boundary.