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Mysteries, Puzzles, and Paradoxes in Quantum Mechanics

QED in a time-dependent double cavity and creation of entanglement between noninteracting atoms via quantum eraser technique

M. A. Cirone, Kazimierz Rza̧żewski

Published Jan 1, 1999• 0 citations
Publisher
DOI
10.1063/1.57859

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The quantum radiation field inside a double cavity is examined. The double cavity consists of a cavity containing a reflecting mirror. Two independent radiation fields are present inside the cavity. It is then assumed that the mirror becomes suddenly transparent. The double cavity transforms thus into a single cavity. The relationship between the radiation fields before and after the change is investigated. It is shown that the sudden change excites the radiation modes of the single cavity. Only modes having a node at the position of the mirror are not excited. The sudden change of the mirror's reflectivity can thus generate photons from the vacuum. It is also shown that the sudden change produces squeezing. These features of the double cavity are then employed in a gedankenexperiment for the generation of entanglement between noninteracting atoms with the quantum eraser technique.
We propose a feasible experiment in the context of cavity QED as follows: The initial state is a maximally entangled two cavity mode (MA{M}_{A}MA​, MB{M}_{B}MB​). Next a sequence of atoms are sent, one at a time, and interact with mode MB{M}_{B}MB​. We show that the which-way information is initially stored only in MB{M}_{B}MB​ is now distributed among the parties of the global system. The results realize known complementarity relations derived in the context of arbitrary qubits. We show that this dynamics may lead to a quantum eraser phenomenon provided that measurements of the probe atoms are performed in a basis which maximizes the visibility.
We analyse the commonly used adiabatic techniques in the atom‐cavity field interaction to controllably entangle two distant atoms trapped inside a single‐mode optical cavity. Two techniques are considered: the first involves a highly detuned cavity from the atomic transition frequencies, and the second involves a near resonant but strongly damped cavity. We show that both, the detuning and the cavity damping are needed to obtain the master equation of the collectively interacting atoms. We analyse the feasibility of the adiabatic techniques in creation of a long living entanglement and find that the cavity damping is more robust for generation of a stationary entanglement between the atoms. The dependence of the stationary entanglement on number of excitations in the system and strengths of the couplings of the atoms to the cavity mode is also discussed.