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Journal of the Physical Society of Japan

Coherent Tunneling by Nonadiabatic Passage in a Three-Waveguide Coupler

Shi Jian, Rui-Qiong Ma, Lin Liu

Published May 26, 2020• 1 citation
Publisher

Abstract

We propose a nonadiabatic tunneling technique, which is different from the stimulated Raman adiabatic passage, to improve the optical tunneling efficiency of a three-waveguide system. The theoretical calculations and results show that the tunneling efficiency can reach 100%. The exact analytic solutions to the nonadiabatic tunneling dynamics are presented. Light dynamics in the optical coupler enable a direct visualization of the population transfer of atomic system under generalized π pulses technique.

DOI
10.7566/jpsj.89.064006

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Stimulated Raman adiabatic passage is a prominent and widely applied technique that transfers population between quantum states in three-level quantum systems. In this paper, we propose an optimized version of stimulated Raman adiabatic passage, which can be implemented faster than the conventional version. In order to achieve quantum adiabaticity in shorter times, we use the geometric optimization method based on the dynamical quantum geometric tensor to regularize nonadiabatic transitions and to eliminate nonadiabatic effects during the evolution process. Optimal stimulated Raman adiabatic passage can shorten the operation time required for adiabatic population transfer appreciably, thereby avoiding decoherence resulting from long-time evolution. Moreover, optimal stimulated Raman adiabatic passage is robust against systematic and random errors. Our results provide an optimal route for the realization of fast and accurate population transfer in three-level quantum systems.
We propose a non-Hermitian generalization of stimulated Raman adiabatic passage (STIRAP), which allows one to increase speed and fidelity of the adiabatic passage. This is done by adding balanced imaginary (gain and loss) terms in the diagonal (bare energy) terms of the Hamiltonian and choosing them such that they cancel exactly the nonadiabatic couplings, providing in this way an effective shortcut to adiabaticity. Remarkably, for a STIRAP using delayed Gaussian-shaped pulses in the counterintuitive scheme the imaginary terms of the Hamiltonian turn out to be time independent. A possible physical realization of non-Hermitian STIRAP, based on light transfer in three evanescently coupled optical waveguides, is proposed.
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