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...
| Main Authors: | , , , , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/169866 |
| _version_ | 1824456248332910592 |
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| author | Shen, Yuan Mok, Wai-Keong Noh, Changsuk Liu, Ai Qun Kwek, Leong-Chuan Fan, Weijun Chia, Andy |
| 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 |
| author_sort | Shen, Yuan |
| collection | NTU |
| 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. |
| first_indexed | 2025-02-19T03:51:05Z |
| format | Journal Article |
| id | ntu-10356/169866 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2025-02-19T03:51:05Z |
| publishDate | 2023 |
| record_format | dspace |
| spelling | ntu-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 |
| 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 |
| title | 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_short | Quantum synchronization effects induced by strong nonlinearities |
| title_sort | quantum synchronization effects induced by strong nonlinearities |
| topic | Engineering::Electrical and electronic engineering Science::Physics Amplitude Death Non-Linear Regimes |
| url | https://hdl.handle.net/10356/169866 |
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