Chaos in coupled Kerr-nonlinear parametric oscillators
A Kerr-nonlinear parametric oscillator (KPO) can generate a quantum superposition of two oscillating states, known as a Schrödinger cat state, via quantum adiabatic evolution and can be used as a qubit for gate-based quantum computing and quantum annealing. In this work, we investigate complex dynam...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2021-12-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.043196 |
| _version_ | 1827285572722360320 |
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| author | Hayato Goto Taro Kanao |
| author_facet | Hayato Goto Taro Kanao |
| author_sort | Hayato Goto |
| collection | DOAJ |
| description | A Kerr-nonlinear parametric oscillator (KPO) can generate a quantum superposition of two oscillating states, known as a Schrödinger cat state, via quantum adiabatic evolution and can be used as a qubit for gate-based quantum computing and quantum annealing. In this work, we investigate complex dynamics, i.e., chaos, in two coupled nondissipative KPOs at a few-photon level. After showing that a classical model for this system is nonintegrable and consequently exhibits chaotic behavior, we provide quantum counterparts for the classical results, which are quantum versions of the Poincaré surface of section and its lower-dimensional version defined with time integrals of the Wigner and Husimi functions and also the initial and long-term behavior of out-of-time-ordered correlators. We conclude that some of them can be regarded as quantum signatures of chaos, together with energy-level spacing statistics (conventional signature). Thus, the system of coupled KPOs is expected to offer not only an alternative approach to quantum computing but also a promising platform for the study on quantum chaos. |
| first_indexed | 2024-04-24T10:17:03Z |
| format | Article |
| id | doaj.art-2bfb8195d11a4d28bb4636f3956ec22f |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:17:03Z |
| publishDate | 2021-12-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-2bfb8195d11a4d28bb4636f3956ec22f2024-04-12T17:16:31ZengAmerican Physical SocietyPhysical Review Research2643-15642021-12-013404319610.1103/PhysRevResearch.3.043196Chaos in coupled Kerr-nonlinear parametric oscillatorsHayato GotoTaro KanaoA Kerr-nonlinear parametric oscillator (KPO) can generate a quantum superposition of two oscillating states, known as a Schrödinger cat state, via quantum adiabatic evolution and can be used as a qubit for gate-based quantum computing and quantum annealing. In this work, we investigate complex dynamics, i.e., chaos, in two coupled nondissipative KPOs at a few-photon level. After showing that a classical model for this system is nonintegrable and consequently exhibits chaotic behavior, we provide quantum counterparts for the classical results, which are quantum versions of the Poincaré surface of section and its lower-dimensional version defined with time integrals of the Wigner and Husimi functions and also the initial and long-term behavior of out-of-time-ordered correlators. We conclude that some of them can be regarded as quantum signatures of chaos, together with energy-level spacing statistics (conventional signature). Thus, the system of coupled KPOs is expected to offer not only an alternative approach to quantum computing but also a promising platform for the study on quantum chaos.http://doi.org/10.1103/PhysRevResearch.3.043196 |
| spellingShingle | Hayato Goto Taro Kanao Chaos in coupled Kerr-nonlinear parametric oscillators Physical Review Research |
| title | Chaos in coupled Kerr-nonlinear parametric oscillators |
| title_full | Chaos in coupled Kerr-nonlinear parametric oscillators |
| title_fullStr | Chaos in coupled Kerr-nonlinear parametric oscillators |
| title_full_unstemmed | Chaos in coupled Kerr-nonlinear parametric oscillators |
| title_short | Chaos in coupled Kerr-nonlinear parametric oscillators |
| title_sort | chaos in coupled kerr nonlinear parametric oscillators |
| url | http://doi.org/10.1103/PhysRevResearch.3.043196 |
| work_keys_str_mv | AT hayatogoto chaosincoupledkerrnonlinearparametricoscillators AT tarokanao chaosincoupledkerrnonlinearparametricoscillators |