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arXiv:2311.05951 · Physica Scripta

One-way multiple beam splitter designed by quantum-like shortcut-to-adiabatic passage

Jiahui Zhang, Yating Wei, Li Deng, Yueping Niu, Shangqing Gong

Published Jan 16, 2025• 1 citation
arXivHTMLPDF

Abstract

Abstract In this work, we introduce a quantum-mechanical shortcut-to-adiabatic passage (STAP) into the design of multiple beam splitter. The device consists of one input and N output waveguide (WG) channels, which are connected via a mediator WG. After reducing such (N + 2)-WG structure into a controllable 3-WG counterpart by Morris-Shore transformation, we point out that the structure is available for all possible three-level STAP methods. By implementing one of them which does not require additional couplings, we can achieve the multiple beam splitting with arbitrary ratios among the N outputs. What is more, the device length is significantly shortened. Except for this, it is quite unique that the design exhibits a one-way energy transport. The underlying physics is presented. These features may have profound impacts on exploring quantum technologies for promoting advanced optical devices.

DOI
10.1088/1402-4896/adab34

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Abstract In this work, we introduce a quantum-mechanical shortcut-to-adiabatic passage (STAP) into the design of multiple beam splitter. The device consists of one input and N output waveguide (WG) channels, which are connected via a mediator WG. After reducing such (N + 2)-WG structure into a controllable 3-WG counterpart by Morris-Shore transformation, we point out that the structure is available for all possible three-level STAP methods. By implementing one of them which does not require additional couplings, we can achieve the multiple beam splitting with arbitrary ratios among the N outputs. What is more, the device length is significantly shortened. Except for this, it is quite unique that the design exhibits a one-way energy transport. The underlying physics is presented. These features may have profound impacts on exploring quantum technologies for promoting advanced optical devices.
A variable achromatic optical beam splitter with one input and NNN output waveguide channels is introduced. The physical mechanism of this multiple beam splitter is adiabatic passage of light between neighboring optical waveguides in a fashion reminiscent of the technique of stimulated Raman adiabatic passage in quantum physics. The input and output waveguides are coupled via a mediator waveguide and the ratios of the light intensities in the output channels are controlled by the couplings of the respective waveguides to the mediator waveguide. Due to its adiabatic nature the beam splitting efficiency is robust to variations in the experimental parameters.
One of the most fundamental devices for integrated optics is the beam splitter, which is often realized with a directional coupler. However, it is well known that the robustness of such devices against wavelength and/or fabrication parameter variations is limited. Three waveguide couplers based on the quantum-optical analogy of the stimulated Raman Adiabatic Passage (STIRAP) protocol have emerged as a promising solution to the aforementioned issues of device robustness [1, 2]. The tradeoff is that the adiabatic devices are generally longer than their non-adiabatic counterparts. Recently, devices using shortcuts to adiabaticity [3] have been shown to provide alternative robust beam coupling as the adiabatic devices, but at a shorter device length [4]. In this paper, we use the invariant-based inverse engineering [5] to realize a short and robust arbitrary splitting ratio three waveguide beam splitter.
Abstract We theoretically exploit the shortcuts to adiabaticity (STA) technique in Hermitian and non-Hermitian quantum systems to realize the maximum coherence and beam splitting by eliminating the nonadiabatic coupling. Compared with the conventional adiabatic passage (AP) technique with the Gaussian and Allen-Eberly schemes, the operation time can be significantly shortened by three order using STA technique. This STA-based fast creation of maximum coherence or beam splitting are in use ranging from quantum sensing and metrology in a noisy environment to optical gain/loss coupled waveguides in an analogous fashion.
Abstract Adiabatic techniques have much potential to realize practical and robust optical waveguide devices. Traditionally, photonic elements are limited to coupling schemes that rely on proximity to nearest neighbour elements. We combine adiabatic passage with a continuum based long-range optical bus to break free from such topological restraints and thereby outline a new approach to photonic quantum gate design. We explicitly show designs for adiabatic quantum gates that produce a Hadamard, 50:50 and 1/3:2/3 beam splitter, and non-deterministic controlled NOT gate based on planar thin, shallow ridge waveguides. Our calculations are performed under conditions of one and two-photon inputs.
A novel design for complete transfer and robust three-waveguide coupler is presented in this paper, which employs shortcut to adiabaticity (STA) based on stimulated Raman adiabatic passage (STIRAP). Most recently, some remarkable papers on STA of STIRAP [Phys. Rev. A 94(6), 063411 (2016) and Nat. Comm. 7, 12479 (2016)] have been proposed in both theoretical and experimental configurations. In this paper, we propose to design a novel three-waveguide coupler by employing STA based on STIRAP, which can achieve much shorter device length and also maintain the robust performance against perturbations on device geometry parameters compared to previous devices. This finding significantly improves the performance and fabrication of integrated optical devices to build up more compactable devices.
Adiabatic techniques have much potential to realize practical and robust optical waveguide devices. Traditionally, photonic elements are limited to coupling schemes that rely on proximity to nearest neighbour elements. We combine adiabatic passage with a continuum based long-range optical bus to break free from such topological restraints and thereby outline a new approach to photonic quantum gate design. We explicitly show designs for adiabatic quantum gates that produce a Hadamard, 50:50 and 1/3:2/3 beam splitter, and non-deterministic controlled NOT gate based on planar thin, shallow ridge waveguides. Our calculations are performed under conditions of one and two-photon inputs.