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International Journal of Theoretical Physics

Shortcuts to Adiabatic Passage for Population Transfer Between two Atoms in a Cavity

Xin Zhao

Published Sep 10, 2022• 2 citations
Publisher
DOI
10.1007/s10773-022-05199-3

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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.
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.