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OSA Workshop on Entanglement and Quantum Decoherence

Engineering of Stationary Entanglement Between Distant Atoms Coupled to a Cavity Field

Z. Ficek

Published Jan 1, 2008• 0 citations
Publisher

Abstract

We study the feasibility of the commonly used adiabatic techniques in the atom-cavity field interaction to entangle two distant atoms trapped inside an 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 find that the second technique is more efficient for creation of a controllable entanglement between the atoms. We follow the temporal evolution of the concurrence and show that the system evolves to a single entangled state whose the stationary population is a sensitive function of the initial state of the atoms and strengths of the couplings of the atoms to the cavity mode.

DOI
10.1364/weqd.2008.p2

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We study the feasibility of the commonly used adiabatic techniques in the atom-cavity field interaction to entangle two distant atoms trapped inside an 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 find that the second technique is more efficient for creation of a controllable entanglement between the atoms. We follow the temporal evolution of the concurrence and show that the system evolves to a single entangled state whose the stationary population is a sensitive function of the initial state of the atoms and strengths of the couplings of the atoms to the cavity mode.
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.
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A practical scheme for entanglement creation between distant atoms located inside a single-mode optical cavity is discussed. We show that the degree of entanglement and the time it takes for the entanglement to reach its optimum value is a sensitive function of the initial conditions and the position of the atoms inside the cavity mode. It is found that the entangled properties of the two atoms can readily be extracted from dynamics of a simple two-level system. Effectively, we engineer two coupled qubits whose dynamics are analogous to that of a driven single two-level system. It is found that spatial variations of the coupling constants actually help to create transient entanglement which may appear on the time scale much longer than that predicted for the case of equal coupling constants. When the atoms are initially prepared in an entangled state, they may remain entangled for all times. We also find that the entanglement exhibits an interesting phenomenon of diffraction when the atoms are located between the nodes and antinodes of the cavity mode. The diffraction pattern of the entanglement varies with time and we explain this effect in terms of the quantum property of complementarity, which is manifested as a tradeoff between the knowledge of energy of the exchanged photon versus the evolution time of the system.
A scheme is presented for the generation of entangled states for two atoms trapped in two distant cavities. In the scheme each atom is resonantly coupled with the respective cavity mode and driven by a strong classical field. The detection of a photon decaying from the cavities and passing through a beam-splitter collapses the atoms to an entangled state. The required atom-field interaction time is very short and thus the decoherence effect is suppressed. Our scheme is within the reach of presently available cavity QED techniques.
The dynamical evolution of a quantum system composed of two coupled cavities, each containing a two-level atom and a single-mode thermal field, is investigated under different conditions. The entanglement between the two atoms is controlled by the hopping strength and the detuning between the atomic transition and the cavities. We find that when the atomic transition is far off-resonant with both the eigenmodes of the coupled-cavity system, the maximally entangled state for the two atoms can be generated with the initial state in which one atom is in the ground state and the other is in the excited state. When both the two atoms are initially in the excited state, the entanglement exhibits periodical sudden birth and death. By choosing appropriate parameter values, the initial maximal entanglement of the two atoms can be frozen. The relation between the concurrence and the cooperative parameter is calculated.
Abstract We propose an efficient scheme to generate maximally entangled states between two three-level atoms in multi-cavity systems via shortcuts to the adiabatic technique. Two atoms are trapped in spatially separated cavities which are linked through direct coupling and optical fiber coupling, respectively. Time-dependent lasers which are tactfully designed radiate the atoms to drive the evolution rapidly. A determinate analysis solution for this distributed maximally entangled state is achieved by controlling the detuning between the cavity mode and laser fields. Numerical simulations show that the shortcut scheme permits the decoherence which arises from the noisy environment and spontaneous emission to some extent. Meanwhile, the scheme tolerates the imprecision of the experimental parameters, such as evolution time, laser parameters and so on. Our research provided a fast, analytical and feasible technology in non-locality quantum entanglement preparation in quantum electronic dynamics.