Quantum synchronisation enabled by dynamical symmetries and dissipation
In nature, instances of synchronisation abound across a diverse range of environments. In the quantum regime, however, synchronisation is typically observed by identifying an appropriate parameter regime in a specific system. In this work we show that this need not be the case, identifying condition...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2020-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ab60f5 |
| _version_ | 1797750330806501376 |
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| author | J Tindall C Sánchez Muñoz B Buča D Jaksch |
| author_facet | J Tindall C Sánchez Muñoz B Buča D Jaksch |
| author_sort | J Tindall |
| collection | DOAJ |
| description | In nature, instances of synchronisation abound across a diverse range of environments. In the quantum regime, however, synchronisation is typically observed by identifying an appropriate parameter regime in a specific system. In this work we show that this need not be the case, identifying conditions which, when satisfied, guarantee that the individual constituents of a generic open quantum system will undergo completely synchronous limit cycles which are, to first order, robust to symmetry-breaking perturbations. We then describe how these conditions can be satisfied by the interplay between several elements: interactions, local dephasing and the presence of a strong dynamical symmetry—an operator which guarantees long-time non-stationary dynamics. These elements cause the formation of entanglement and off-diagonal long-range order which drive the synchronised response of the system. To illustrate these ideas we present two central examples: a chain of quadratically dephased spin-1s and the many-body charge-dephased Hubbard model. In both cases perfect phase-locking occurs throughout the system, regardless of the specific microscopic parameters or initial states. Furthermore, when these systems are perturbed, their nonlinear responses elicit long-lived signatures of both phase and frequency-locking. |
| first_indexed | 2024-03-12T16:31:11Z |
| format | Article |
| id | doaj.art-20d89677885c44d6a8b2854917282cb1 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:31:11Z |
| publishDate | 2020-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-20d89677885c44d6a8b2854917282cb12023-08-08T15:27:22ZengIOP PublishingNew Journal of Physics1367-26302020-01-0122101302610.1088/1367-2630/ab60f5Quantum synchronisation enabled by dynamical symmetries and dissipationJ Tindall0https://orcid.org/0000-0003-1335-8637C Sánchez Muñoz1B Buča2D Jaksch3Clarendon Laboratory, University of Oxford , Parks Road, Oxford OX1 3PU, United KingdomClarendon Laboratory, University of Oxford , Parks Road, Oxford OX1 3PU, United KingdomClarendon Laboratory, University of Oxford , Parks Road, Oxford OX1 3PU, United KingdomClarendon Laboratory, University of Oxford , Parks Road, Oxford OX1 3PU, United KingdomIn nature, instances of synchronisation abound across a diverse range of environments. In the quantum regime, however, synchronisation is typically observed by identifying an appropriate parameter regime in a specific system. In this work we show that this need not be the case, identifying conditions which, when satisfied, guarantee that the individual constituents of a generic open quantum system will undergo completely synchronous limit cycles which are, to first order, robust to symmetry-breaking perturbations. We then describe how these conditions can be satisfied by the interplay between several elements: interactions, local dephasing and the presence of a strong dynamical symmetry—an operator which guarantees long-time non-stationary dynamics. These elements cause the formation of entanglement and off-diagonal long-range order which drive the synchronised response of the system. To illustrate these ideas we present two central examples: a chain of quadratically dephased spin-1s and the many-body charge-dephased Hubbard model. In both cases perfect phase-locking occurs throughout the system, regardless of the specific microscopic parameters or initial states. Furthermore, when these systems are perturbed, their nonlinear responses elicit long-lived signatures of both phase and frequency-locking.https://doi.org/10.1088/1367-2630/ab60f5quantum synchronisationopen quantum systemsstrongly interactingsymmetriesquantum lattice models |
| spellingShingle | J Tindall C Sánchez Muñoz B Buča D Jaksch Quantum synchronisation enabled by dynamical symmetries and dissipation New Journal of Physics quantum synchronisation open quantum systems strongly interacting symmetries quantum lattice models |
| title | Quantum synchronisation enabled by dynamical symmetries and dissipation |
| title_full | Quantum synchronisation enabled by dynamical symmetries and dissipation |
| title_fullStr | Quantum synchronisation enabled by dynamical symmetries and dissipation |
| title_full_unstemmed | Quantum synchronisation enabled by dynamical symmetries and dissipation |
| title_short | Quantum synchronisation enabled by dynamical symmetries and dissipation |
| title_sort | quantum synchronisation enabled by dynamical symmetries and dissipation |
| topic | quantum synchronisation open quantum systems strongly interacting symmetries quantum lattice models |
| url | https://doi.org/10.1088/1367-2630/ab60f5 |
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