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Physica Scripta

Preparation of four-dimensional entangled states in separate cavities via adiabatic passage

Ping Wang, Meifeng Chen

Published Nov 5, 2012• 1 citation
Publisher

Abstract

A scheme is proposed to deterministically generate four-dimensional entangled states for two distant atoms trapped in two separate cavities via adiabatic passage by one step. An optimal expression of time-dependent Rabi frequencies is selected through numerical simulation. Numerical simulation also shows that the excited probabilities of the atoms, the cavity modes and the fiber modes are very low during adiabatic passage, and the scheme is insensitive to the fluctuation of experimental parameters. The four-dimensional entanglement may be generated with high fidelity with current experimental technology.

DOI
10.1088/0031-8949/86/06/065002

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A scheme is proposed to deterministically generate four-dimensional entangled states for two distant atoms trapped in two separate cavities via adiabatic passage by one step. An optimal expression of time-dependent Rabi frequencies is selected through numerical simulation. Numerical simulation also shows that the excited probabilities of the atoms, the cavity modes and the fiber modes are very low during adiabatic passage, and the scheme is insensitive to the fluctuation of experimental parameters. The four-dimensional entanglement may be generated with high fidelity with current experimental technology.
We propose a robust scheme to generate four-mode entangled states by using the method of adiabatic passage. Our scheme is more insensitive to certain practical sources of noise, such as randomness in the atom's position, atomic spontaneous emission. In addition, the Rabi frequencies of the classical field and interaction time need not to be accurately adjusted as long as the adiabatic condition is fulfilled. The fidelity for the prepared state is higher than 0.97 under current experimental parameters.
Quantum information, as a comprehensive subject of quantum mechanics and information science, has a broad theoretical research value and application prospect. As a resource of quantum information, quantum entanglement has been studied thoroughly, which is not only significant to understand the features of quantum mechanics, but also of great value to the development of the method new quantum information processing. Therefore, the generation of entangled state is widely studied theoretically. In comparison to low-dimensional entangled states, multi-dimensional entangled states are not only safe but also efficient and error-tolerant for quantum computation. The adiabatic technique is one of the most widely used and proven techniques in quantum information science. The main advantages of this technique are that it is insensitive to the fluctuation of experimental parameters, and the interaction time of the system is not required to be controled accurately. However, limited by the adiabatic condition, it usually takes relatively long interaction time in scheme via adiabatic technique to achieve the target states. If the required evolution time is too long, the scheme may be useless. To overcome this problem, researchers have done a lot in the field of finding ways to shorten the long interaction time of adiabatic passage. Among these works, the technique named shortcuts to adiabatic passage is a successful work in this field and it has attracted a great deal of attention in recent years. In this paper, based on transitionless quantum driving to construct shortcuts to adiabatic passage, an efficient scheme to fast generate a four-dimensional entangled state of two-atom is proposed. The atoms are respectively trapped in the separate two-mode cavities which are connected by optical fiber. To achieve an alternative physically feasible system, the non-resonant dynamics is adopted to create a Hamiltonian which can exactly drive the system to evolve along the instantaneous eigenstates of the original Hamiltonian. As a result, if the system goes through adiabatic passage, it will evolve in the dark state, not transit to other states. Hence, using transitionless quantum driving to shortcuts to adiabatic passage, the evolutionary time in this scheme is much less than that in other schemes based on traditional adiabatic passage. The rigorous numerical simulations are conducted. The results show that with suitable pulsed laser parameters, this scheme is robust against decoherence arising from fiber decay, cavity decay and atomic spontaneous emission. Moreover, the scheme is more feasible in physics. That is, based on the proposed scheme, a high-fidelity four-dimensional entangled state of two-atom can be achieved.
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.
We propose a scheme for generating maximally entangled states for three atoms trapped in three distant cavities connected by two identical single-mode fibers. During the operation, neither the atomic system nor the fibers are excited, which is important in view of decoherence. Under certain conditions, the probability of the excited cavities can be negligible. Taking advantage of adiabatic passage, the GHZ state can be generated deterministically, and the fidelity of entanglement is insensitive to fluctuation of experimental parameters. Compared to the previous schemes, the significant advantage of the proposed scheme is that each cavity can interact with the other two directly, which can avoid the effect of indirect interaction brought about using only local quantum operator and nonlocal resources.
A scheme is proposed to deterministically generate multi-atom Greenberger–Horne–Zeilinger (GHZ) states trapped in coupled cavities, which is based on the adiabatic passage of the dark state. The scheme does not need to adjust the interaction time accurately and is insensitive to the fluctuations of some experimental parameters. However, we should choose the appropriate Rabi frequencies of the classical fields to achieve the optimal characteristic of the system. In addition, we also demonstrate numerically that it is robust against decoherence caused by the cavity decay and atomic spontaneous emission.
We propose a scheme for generating a four-dimensional entanglement between two atoms trapped in two separate cavities connected by an optical fiber. Based on quantum Zeno dynamics, the entangled state is obtained only in one step. We also numerically investigate the influence of photon leakage and atomic spontaneous emission on the fidelity of the entangled state. The result shows that our scheme is robust against the cavity decay and very promising for realization with current experimental technology.