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arXiv:1605.06225 · Journal of the Optical Society of America B

Fast generation of three-dimensional entanglement between two spatially separated atoms via invariant-based shortcut

Jin‐Lei Wu, Chong Song, Xin Ji, Shou Zhang

Published Sep 1, 2016• 12 citations
arXivHTMLPDF

Abstract

A scheme is proposed for the fast generation of three-dimensional entanglement between two atoms trapped in two cavities connected by a fiber via invariant-based shortcut to an adiabatic passage. With the help of quantum Zeno dynamics, the invariant-based shortcut technique is applied to the generation of two-atom three-dimensional entanglement. The numerical simulation results show that the target state can be generated in a short time with high fidelity, and the scheme is robust against the decoherence caused by atomic spontaneous emission, photon leakage, and variations in the parameters. Moreover, it may be possible to implement the scheme with the current experimental technology.

DOI
10.1364/josab.33.002026

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A scheme is proposed for the fast generation of three-dimensional entanglement between two atoms trapped in two cavities connected by a fiber via invariant-based shortcut to an adiabatic passage. With the help of quantum Zeno dynamics, the invariant-based shortcut technique is applied to the generation of two-atom three-dimensional entanglement. The numerical simulation results show that the target state can be generated in a short time with high fidelity, and the scheme is robust against the decoherence caused by atomic spontaneous emission, photon leakage, and variations in the parameters. Moreover, it may be possible to implement the scheme with the current experimental technology.
We propose a scheme for generating 3D entanglement between two atoms trapped in two spatially separated cavities, respectively, via shortcuts to adiabatic passage based on the approach of Lewis–Riesenfeld invariants in cavity quantum electronic dynamics. By combining Lewis–Riesenfeld invariants with quantum Zeno dynamics, we can generate 3D entanglement of the two atoms with high fidelity. The numerical simulation results show that the scheme is robust against the decoherence caused by the photon leakage and atomic spontaneous emission.
We propose an adiabatic passage approach to generate two atoms three-dimensional entanglement with the help of quantum Zeno dynamics in a time-dependent interacting field. The atoms are trapped in two spatially separated cavities connected by a fiber, so that the individual addressing is needless. Because the scheme is based on the resonant interaction, the time required to generate entanglement is greatly shortened. Since the fields remain in vacuum state and all the atoms are in the ground states, the losses due to the excitation of photons and the spontaneous transition of atoms are suppressed efficiently compared with the dispersive protocols. Numerical simulation results show that the scheme is robust against the decoherences caused by the cavity decay and atomic spontaneous emission. Additionally, the scheme can be generalized to generate N-atom three-dimensional entanglement and high-dimensional entanglement for two spatially separated atoms.
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A scheme for preparing a three-dimensional entangled state of two atoms is proposed. In the present scheme, two atoms are placed in two cavities that are spatially separated and connected by a fiber. With the help of quantum Zeno dynamics, the shortcuts to adiabaticity can be constructed through transitionless quantum driving to fast achieve the preparation of a three-dimensional entangled state. During this process, we consider the influence of fluctuations about system parameters and various decoherence factors on the fidelity. Numerical simulation results demonstrate that this scheme can not only realize the preparation of a three-dimensional entangled state with a high fidelity, but is also insensitive to parameter fluctuations. Moreover, our scheme can be extended to realize the N-dimensional entanglement of two atoms.
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.
We propose an effective scheme of shortcuts to adiabaticity for generating a three-dimensional entanglement of two atoms trapped in a cavity using the transitionless quantum driving (TQD) approach. The key point of this approach is to construct an effective Hamiltonian that drives the dynamics of a system along instantaneous eigenstates of a reference Hamiltonian to reproduce the same final state as that of an adiabatic process within a much shorter time. In this paper, the shortcuts to adiabatic passage are constructed by introducing two auxiliary excited levels in each atom and applying extra cavity modes and classical fields to drive the relevant transitions. Thereby, the three-dimensional entanglement is obtained with a faster rate than that in the adiabatic passage. Moreover, the influences of atomic spontaneous emission and photon loss on the fidelity are discussed by numerical simulation. The results show that the speed of entanglement implementation is greatly improved by the use of adiabatic shortcuts and that this entanglement implementation is robust against decoherence. This will be beneficial to the preparation of high-dimensional entanglement in experiment and provides the necessary conditions for the application of high-dimensional entangled states in quantum information processing.