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arXiv:1401.4291 · Physical Review A

Efficient shortcuts to adiabatic passage for fast population transfer in multiparticle systems

Ye‐Hong Chen, Yan Xia, Qing-Qin Chen, Jie Song

Published Mar 27, 2014• 150 citations
arXivHTMLPDF

Abstract

Achieving fast population transfer (FPT) in multiparticle systems based on the cavity quantum electronic dynamics is an outstanding challenge. In this paper, motivated by the quantum Zeno dynamics, a shortcut for performing the FPT of ground states in multiparticle systems with the invariant-based inverse engineering is proposed. Numerical simulation demonstrates that a perfect population transfer of ground states in multiparticle systems can be rapidly achieved in one step, and the FPT is robust to both the cavity decay and atomic spontaneous emission. Additionally, this scheme is not only implemented without requiring extra complex conditions, but also insensitive to variations of the parameters.

DOI
10.1103/physreva.89.033856

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We propose an alternative scheme for constructing a shortcut to implement the quantum state transfer between two three-level atoms founded on the invariant-based inverse engineering in a cavity quantum electronic dynamics (QED) system. Quantum information can be quickly transferred between atoms by taking advantage of the cavity field as a medium. Through our design of the time-dependent laser pulse and atom–cavity coupling, we send atoms through the cavity within a short time interval, which involves the two processes of the invariant dynamics between each atom and the cavity field simultaneously. We redesign a reasonable Gaussian-type wave form in the atom–cavity coupling for a realistic experimental operation. Numerical simulation shows that the target state can be quickly populated with a high fidelity which is robust against both the parameter fluctuations and the dissipation.
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We propose an alternative scheme to implement the quantum state transfer between two three-level atoms based on the invariant-based inverse engineering in cavity quantum electronic dynamics (QED) system. The quantum information can be ultrafast transferred between the atoms by taking advantage of the cavity field as a medium for exchanging quantum information speedily. Through designing the time-dependent laser pulse and atom-cavity coupling, we send the atoms through the cavity with a short time interval experiencing the two processes of the invariant dynamics between each atom and the cavity field simultaneously. Numerical simulation shows that the target state can be ultrafast populated with a high fidelity even when considering the atomic spontaneous emission and the photon leakage out of the cavity field. We also redesign a reasonable Gaussian-type wave form in the atom-cavity coupling for the realistic experiment operation.
We use the approach of ``transitionless quantum driving'' proposed by Berry to construct shortcuts to the population transfer and the creation of maximal entanglement between two $\ensuremath{\Lambda}$-type atoms based on the cavity quantum electronic dynamics system. An effective Hamiltonian is designed by resorting to an auxiliary excited level, a classical driving field, and an extra cavity field mode to supplement or substitute the original reference Hamiltonian, and steer the system evolution along its instantaneous eigenstates in an arbitrarily short time, speeding up the rate of population transfer and creation of maximal entanglement between the two atoms inside a cavity. Numerical simulation demonstrates that our shortcuts are robust against the decoherences caused by atomic spontaneous emission and cavity photon leakage.
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