Quantum synchronization effects induced by strong nonlinearities

A paradigm for quantum synchronization is the quantum analog of the Stuart--Landau oscillator, which corresponds to a van der Pol oscillator in the limit of weak (i.e. vanishingly small) nonlinearity. Due to this limitation, the quantum Stuart--Landau oscillator fails to capture interesting nonl...

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Main Authors: Shen, Yuan, Mok, Wai-Keong, Noh, Changsuk, Liu, Ai Qun, Kwek, Leong-Chuan, Fan, Weijun, Chia, Andy
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2023
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Online Access:https://hdl.handle.net/10356/169866
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1698662023-08-11T15:39:15Z Quantum synchronization effects induced by strong nonlinearities Shen, Yuan Mok, Wai-Keong Noh, Changsuk Liu, Ai Qun Kwek, Leong-Chuan Fan, Weijun Chia, Andy School of Electrical and Electronic Engineering National Institute of Education Quantum Science and Engineering Centre (QSec) Engineering::Electrical and electronic engineering Science::Physics Amplitude Death Non-Linear Regimes A paradigm for quantum synchronization is the quantum analog of the Stuart--Landau oscillator, which corresponds to a van der Pol oscillator in the limit of weak (i.e. vanishingly small) nonlinearity. Due to this limitation, the quantum Stuart--Landau oscillator fails to capture interesting nonlinearity-induced phenomena such as relaxation oscillations. To overcome this deficiency we propose an alternative model which approximates the van der Pol oscillator to finitely large nonlinearities while remaining numerically tractable. This allows us to uncover interesting phenomena in the deep-quantum strongly-nonlinear regime with no classical analog, such as the persistence of amplitude death on resonance. We also report nonlinearity-induced position correlations in reactively coupled quantum oscillators. Such coupled oscillations become more and more correlated with increasing nonlinearity before reaching some maximum. Again, this behavior is absent classically. We also show how strong nonlinearity can enlarge the synchronization bandwidth in both single and coupled oscillators. This effect can be harnessed to induce mutual synchronization between two oscillators initially in amplitude death. Ministry of Education (MOE) National Research Foundation (NRF) Published version Y.S. and W.J.F. would like to acknowledge the support from NRF-CRP19-2017-01 is National Research Foundation, Singapore. C.N. was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (NRF-2022R1F1A1063053). W.K.M., A.C., and L.C.K. are grateful to the National Research Foundation, Singapore and the Ministry of Education, Singapore for financial support. 2023-08-08T07:32:43Z 2023-08-08T07:32:43Z 2023 Journal Article Shen, Y., Mok, W., Noh, C., Liu, A. Q., Kwek, L., Fan, W. & Chia, A. (2023). Quantum synchronization effects induced by strong nonlinearities. Physical Review A, 107(5), 053713-1-053713-13. https://dx.doi.org/10.1103/PhysRevA.107.053713 2469-9926 https://hdl.handle.net/10356/169866 10.1103/PhysRevA.107.053713 2-s2.0-85161181836 5 107 053713-1 053713-13 en NRF-CRP19-2017-01 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
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Engineering::Electrical and electronic engineering
Science::Physics
Amplitude Death
Non-Linear Regimes
spellingShingle Engineering::Electrical and electronic engineering
Science::Physics
Amplitude Death
Non-Linear Regimes
Shen, Yuan
Mok, Wai-Keong
Noh, Changsuk
Liu, Ai Qun
Kwek, Leong-Chuan
Fan, Weijun
Chia, Andy
Quantum synchronization effects induced by strong nonlinearities
description A paradigm for quantum synchronization is the quantum analog of the Stuart--Landau oscillator, which corresponds to a van der Pol oscillator in the limit of weak (i.e. vanishingly small) nonlinearity. Due to this limitation, the quantum Stuart--Landau oscillator fails to capture interesting nonlinearity-induced phenomena such as relaxation oscillations. To overcome this deficiency we propose an alternative model which approximates the van der Pol oscillator to finitely large nonlinearities while remaining numerically tractable. This allows us to uncover interesting phenomena in the deep-quantum strongly-nonlinear regime with no classical analog, such as the persistence of amplitude death on resonance. We also report nonlinearity-induced position correlations in reactively coupled quantum oscillators. Such coupled oscillations become more and more correlated with increasing nonlinearity before reaching some maximum. Again, this behavior is absent classically. We also show how strong nonlinearity can enlarge the synchronization bandwidth in both single and coupled oscillators. This effect can be harnessed to induce mutual synchronization between two oscillators initially in amplitude death.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Shen, Yuan
Mok, Wai-Keong
Noh, Changsuk
Liu, Ai Qun
Kwek, Leong-Chuan
Fan, Weijun
Chia, Andy
format Article
author Shen, Yuan
Mok, Wai-Keong
Noh, Changsuk
Liu, Ai Qun
Kwek, Leong-Chuan
Fan, Weijun
Chia, Andy
author_sort Shen, Yuan
title Quantum synchronization effects induced by strong nonlinearities
title_short Quantum synchronization effects induced by strong nonlinearities
title_full Quantum synchronization effects induced by strong nonlinearities
title_fullStr Quantum synchronization effects induced by strong nonlinearities
title_full_unstemmed Quantum synchronization effects induced by strong nonlinearities
title_sort quantum synchronization effects induced by strong nonlinearities
publishDate 2023
url https://hdl.handle.net/10356/169866
_version_ 1779156761947668480