Oscillating bound states in non-Markovian photonic lattices

It is known that the superposition of two bound states in the continuum (BIC) leads to the phenomenon of an oscillating bound state, where excitations mediated by the continuum modes oscillate persistently. We perform exact calculations for the oscillating BICs in a 1D photonic lattice coupled to a...

Full description

Bibliographic Details
Main Authors: Lim, Kian Hwee, Mok, Wai-Keong, Kwek, Leong Chuan
Other Authors: School of Electrical and Electronic Engineering
Format: Journal Article
Language:English
Published: 2023
Subjects:
Online Access:https://hdl.handle.net/10356/169864
_version_ 1826117913203965952
author Lim, Kian Hwee
Mok, Wai-Keong
Kwek, Leong Chuan
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Lim, Kian Hwee
Mok, Wai-Keong
Kwek, Leong Chuan
author_sort Lim, Kian Hwee
collection NTU
description It is known that the superposition of two bound states in the continuum (BIC) leads to the phenomenon of an oscillating bound state, where excitations mediated by the continuum modes oscillate persistently. We perform exact calculations for the oscillating BICs in a 1D photonic lattice coupled to a "giant atom" at multiple points. Our work is significantly distinct from previous proposals of oscillating BICs in continuous waveguide systems due to the presence of a finite energy band contributing band-edge effects. In particular, we show that the bound states outside the energy band are detrimental to the oscillating BIC phenomenon, and can be suppressed by increasing either the number of coupling points or the separation between each coupling point. Crucially, non-Markovianity is necessary for the existence of oscillating BIC, and the oscillation amplitude increases with the characteristic delay time of the giant atom interactions. We also propose a novel initialization scheme in the BIC subspace. Our work be experimentally implemented on current photonic waveguide array platforms and opens up new prospects in utilizing reservoir engineering for the storage of quantum information in photonic lattices.
first_indexed 2024-10-01T04:35:08Z
format Journal Article
id ntu-10356/169864
institution Nanyang Technological University
language English
last_indexed 2024-10-01T04:35:08Z
publishDate 2023
record_format dspace
spelling ntu-10356/1698642023-08-11T15:39:13Z Oscillating bound states in non-Markovian photonic lattices Lim, Kian Hwee Mok, Wai-Keong Kwek, Leong Chuan School of Electrical and Electronic Engineering National Institute of Education Centre for Quantum Technologies, NUS MajuLab, CNRS-UNS-NUS-NTU International Joint Research Unit, UMI 3654 Engineering::Electrical and electronic engineering Continuous Waveguides Continuum Modes It is known that the superposition of two bound states in the continuum (BIC) leads to the phenomenon of an oscillating bound state, where excitations mediated by the continuum modes oscillate persistently. We perform exact calculations for the oscillating BICs in a 1D photonic lattice coupled to a "giant atom" at multiple points. Our work is significantly distinct from previous proposals of oscillating BICs in continuous waveguide systems due to the presence of a finite energy band contributing band-edge effects. In particular, we show that the bound states outside the energy band are detrimental to the oscillating BIC phenomenon, and can be suppressed by increasing either the number of coupling points or the separation between each coupling point. Crucially, non-Markovianity is necessary for the existence of oscillating BIC, and the oscillation amplitude increases with the characteristic delay time of the giant atom interactions. We also propose a novel initialization scheme in the BIC subspace. Our work be experimentally implemented on current photonic waveguide array platforms and opens up new prospects in utilizing reservoir engineering for the storage of quantum information in photonic lattices. Ministry of Education (MOE) National Research Foundation (NRF) Published version K.H.L, W.K.M., and L.C.K. are grateful to the National Research Foundation, Singapore and the Ministry of Education, Singapore for financial support. 2023-08-08T06:22:22Z 2023-08-08T06:22:22Z 2023 Journal Article Lim, K. H., Mok, W. & Kwek, L. C. (2023). Oscillating bound states in non-Markovian photonic lattices. Physical Review A, 107(2), 023716-1-023716-16. https://dx.doi.org/10.1103/PhysRevA.107.023716 2469-9926 https://hdl.handle.net/10356/169864 10.1103/PhysRevA.107.023716 2-s2.0-85148333276 2 107 023716-1 023716-16 en Physical Review A © 2023 American Physical Society All rights reserved. This paper was published in Physical Review A and is made available with permission of American Physical Society. application/pdf
spellingShingle Engineering::Electrical and electronic engineering
Continuous Waveguides
Continuum Modes
Lim, Kian Hwee
Mok, Wai-Keong
Kwek, Leong Chuan
Oscillating bound states in non-Markovian photonic lattices
title Oscillating bound states in non-Markovian photonic lattices
title_full Oscillating bound states in non-Markovian photonic lattices
title_fullStr Oscillating bound states in non-Markovian photonic lattices
title_full_unstemmed Oscillating bound states in non-Markovian photonic lattices
title_short Oscillating bound states in non-Markovian photonic lattices
title_sort oscillating bound states in non markovian photonic lattices
topic Engineering::Electrical and electronic engineering
Continuous Waveguides
Continuum Modes
url https://hdl.handle.net/10356/169864
work_keys_str_mv AT limkianhwee oscillatingboundstatesinnonmarkovianphotoniclattices
AT mokwaikeong oscillatingboundstatesinnonmarkovianphotoniclattices
AT kwekleongchuan oscillatingboundstatesinnonmarkovianphotoniclattices