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Chinese Physics B

Robust generation of qutrit entanglement via adiabatic passage of dark states

Zhen‐Biao Yang, Huai‐Zhi Wu, Zheng Shi-Biao

Published Sep 1, 2010• 23 citations
Publisher

Abstract

We propose a scheme for the deterministic generation of qutrit entanglement for two atoms trapped in an optical cavity. Taking advantage of the adiabatic passage, the operation is immune to atomic spontaneous emission as the atomic excited states are never populated; under certain conditions, the probability that the cavity is excited is negligible. We also study the influences of the dissipation due to the atomic spontaneous emission and cavity decay.

DOI
10.1088/1674-1056/19/9/094205

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We propose a scheme for the deterministic generation of qutrit entanglement for two atoms trapped in an optical cavity. Taking advantage of the adiabatic passage, the operation is immune to atomic spontaneous emission as the atomic excited states are never populated; under certain conditions, the probability that the cavity is excited is negligible. We also study the influences of the dissipation due to the atomic spontaneous emission and cavity decay.
A scheme is proposed for the deterministic generation of three-dimensional entanglement of two distant atoms separately trapped in two optical cavities connected by an optical fiber. Employing adiabatic passage along dark states, the atoms are always in ground states, in particular, the fiber mode remains in the vacuum state due to the quantum destructive interference, and the population of the cavities being excited can be negligible under certain conditions. In this sense, our scheme constructs an effective way to avoid the atomic spontaneous emission and the decays of fiber and cavities.
A scheme is proposed for generating a three-dimensional entangled state for two atoms trapped in a cavity by one step via adiabatic passage. In the scheme, the two atoms are always in ground states and the field mode of the cavity excited is negligible under a certain condition. Therefore, the scheme is very robust against decoherence. Furthermore, it needs neither the exact control of all parameters nor the accurate control of the interaction time. It is shown that qutrit entanglement can be generated with a high fidelity.
A scheme is proposed to generate W state of N atoms trapped in a cavity, based on adiabatic passage along dark state. Taking advantage of adiabatic passage, the atoms have no probability of being excited and thus the atomic spontaneous emission is suppressed. The scheme is simple. It does not need to adjust the interaction time accurately, and does not need to prepare the cavity field in one-photon state. Numerical simulation shows that the successful probability of the scheme increases with the increasing of the atom number.
A scheme is proposed for the generation of entangled states for multiple atoms trapped in an optical cavity via adiabatic passage. In the scheme, both the atomic system and the cavity have no probability of being excited. Thus both the atomic spontaneous emission and the cavity decay are suppressed, which makes our scheme very robust against decoherence. Taking advantage of the adiabatic process, the scheme does not require accurate adjustment of the interaction time. Furthermore, the scheme is scalable in principle. The idea can also be used for realizing phase-covariant cloning.
In this paper, we propose an efficient scheme to drive three atoms in an optical cavity into a singlet state via adiabatic passage. Appropriate Rabi frequencies of the classical fields are selected to realize the present scheme. The scheme is robust against deviations in the pulse delay and laser intensity through some simple analysis of the adiabatic condition. It is notable that the estimated range of the effective adiabaticity condition coincides with the numerical results. When taking dissipation into account, we show that the process is immune to atomic spontaneous emission as the atomic excited states are never populated in adiabatic evolution. Moreover, under certain conditions, the cavity decay can also be efficiently suppressed.
In this paper, we propose an efficient scheme to generate the N-atom singlet state via adiabatic passage of a dark state in cavity quantum electrodynamics (QED) system. Appropriate Rabi frequencies of the classical fields are selected to realize the present scheme. We discuss the influence of decoherence induced by cavity decay and atomic spontaneous emission by numerical calculation. The result shows that the scheme is insensitive to atomic spontaneous emission as the atomic excited state is hardly populated in adiabatic evolution.