Asymptotic phase-locking and synchronization in two-qubit systems
The paper concerns spontaneous asymptotic phase-locking and synchronization in two-qubit systems undergoing continuous Markovian evolution described by Lindbladian dynamics with normal Lindblad operators. Using analytic methods, all phase-locking-enforcing mechanisms within the given framework are o...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2023-01-01
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| Series: | Journal of Physics Communications |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/2399-6528/acc0d4 |
| _version_ | 1797837789849452544 |
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| author | D Štěrba J Novotný I Jex |
| author_facet | D Štěrba J Novotný I Jex |
| author_sort | D Štěrba |
| collection | DOAJ |
| description | The paper concerns spontaneous asymptotic phase-locking and synchronization in two-qubit systems undergoing continuous Markovian evolution described by Lindbladian dynamics with normal Lindblad operators. Using analytic methods, all phase-locking-enforcing mechanisms within the given framework are obtained and classified. Detailed structures of their respective attractor spaces are provided and used to explore their properties from various perspectives. Amid phase-locking processes those additionally enforcing identical stationary parts of both qubits are identified, including as a special case the strictest form of synchronization conceivable. A prominent basis is presented which reveals that from a physical point of view two main types of phase-locking mechanisms exist. The ability to preserve information about the initial state is explored and an upper bound on the amplitude of oscillations of the resulting phase-locked dynamics is established. Permutation symmetry of both asymptotic states and phase-locking mechanisms is discussed. Lastly, the possibility of entanglement production playing the role of a phase-locking witness is rebutted by three analytically treatable examples. |
| first_indexed | 2024-04-09T15:31:24Z |
| format | Article |
| id | doaj.art-9b250cf1422f450c88301d1031443e7e |
| institution | Directory Open Access Journal |
| issn | 2399-6528 |
| language | English |
| last_indexed | 2024-04-09T15:31:24Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | Journal of Physics Communications |
| spelling | doaj.art-9b250cf1422f450c88301d1031443e7e2023-04-28T08:40:04ZengIOP PublishingJournal of Physics Communications2399-65282023-01-017404500310.1088/2399-6528/acc0d4Asymptotic phase-locking and synchronization in two-qubit systemsD Štěrba0J Novotný1https://orcid.org/0000-0003-1971-7768I Jex2Department of Physics, FNSPE, Czech Technical University in Prague , Břehová 7, 115 19 Praha 1, Czech RepublicDepartment of Physics, FNSPE, Czech Technical University in Prague , Břehová 7, 115 19 Praha 1, Czech RepublicDepartment of Physics, FNSPE, Czech Technical University in Prague , Břehová 7, 115 19 Praha 1, Czech RepublicThe paper concerns spontaneous asymptotic phase-locking and synchronization in two-qubit systems undergoing continuous Markovian evolution described by Lindbladian dynamics with normal Lindblad operators. Using analytic methods, all phase-locking-enforcing mechanisms within the given framework are obtained and classified. Detailed structures of their respective attractor spaces are provided and used to explore their properties from various perspectives. Amid phase-locking processes those additionally enforcing identical stationary parts of both qubits are identified, including as a special case the strictest form of synchronization conceivable. A prominent basis is presented which reveals that from a physical point of view two main types of phase-locking mechanisms exist. The ability to preserve information about the initial state is explored and an upper bound on the amplitude of oscillations of the resulting phase-locked dynamics is established. Permutation symmetry of both asymptotic states and phase-locking mechanisms is discussed. Lastly, the possibility of entanglement production playing the role of a phase-locking witness is rebutted by three analytically treatable examples.https://doi.org/10.1088/2399-6528/acc0d4synchronizationphase-lockingasymptotic evolutionqubitslindbladianquantum markov process |
| spellingShingle | D Štěrba J Novotný I Jex Asymptotic phase-locking and synchronization in two-qubit systems Journal of Physics Communications synchronization phase-locking asymptotic evolution qubits lindbladian quantum markov process |
| title | Asymptotic phase-locking and synchronization in two-qubit systems |
| title_full | Asymptotic phase-locking and synchronization in two-qubit systems |
| title_fullStr | Asymptotic phase-locking and synchronization in two-qubit systems |
| title_full_unstemmed | Asymptotic phase-locking and synchronization in two-qubit systems |
| title_short | Asymptotic phase-locking and synchronization in two-qubit systems |
| title_sort | asymptotic phase locking and synchronization in two qubit systems |
| topic | synchronization phase-locking asymptotic evolution qubits lindbladian quantum markov process |
| url | https://doi.org/10.1088/2399-6528/acc0d4 |
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