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Journal of Optics B Quantum and Semiclassical Optics

Landau–Zener dynamics in a curved optical directional coupler

Stefano Longhi

Published May 16, 2005• 27 citations
Publisher

Abstract

A simple and experimentally accessible optical realization of Landau–Zener dynamics of two-level quantum systems with a finite coupling duration is proposed using a waveguide-based directional coupler with a cubically bent axis.
DOI
10.1088/1464-4266/7/6/l01

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Physical Review A•Jan 11, 2019•10 citations
We propose an identical geometrical representation scheme for both Landau–Zener (LZ) tunneling process in two-waveguide coupler with a cubically bent structure and stimulated Raman adiabatic passage (STIRAP) in three-waveguide coupler, similar to the geometrical representation of sum frequency process. The results show that although the two-waveguide coupler with a cubically bent axis has not aperiodic structure, it acts as a chirped quasi-phase-matching (QPM) grating and corrects the relative phase between the two supermodes in the curved coupler system. We present a scheme about how to choose the parameters to design the curved beam splitter.
Experimental demonstrations of coherent dynamics for the driven quantum system are usually limited by their shorter coherent times (due to the inevitable environment noises). Given the Maxwell equation for the electromagnetic waves (EMWs) prorogating in the optical waveguides takes the similar form of the Schr\"odinger equation for the driven quantum system, the quantum dynamics in time domain can be simulated by the light propagating along the waveguide in spatial domain. To simulate the fast time evolutions of quantum states during the Landau-Zener (LZ) transitions and Landau-Zenner-St\"uckelberg (LZS) interferences for the periodically driven two-level systems, we develop an invariant method to design the compacted curved wavguides and demonstrate the LZ transitions and LZS interferometery in the spatial domain. Due to significantly long coherent lengths of the EMWs propagating along the waveguides, the proposed optical-quantum analogies should be feasible with the current integrated optical devices.