The driven-dissipative Bose–Hubbard dimer: phase diagram and chaos
We present the phase diagram of the mean-field driven-dissipative Bose–Hubbard dimer model. For a dimer with repulsive on-site interactions ( U > 0) and coherent driving, we prove that ${{\mathbb{Z}}}_{2}$ -symmetry breaking, via pitchfork bifurcations with sizable extensions of the asymmetric s...
| 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/ab7539 |
| _version_ | 1827872911437856768 |
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| author | Andrus Giraldo Bernd Krauskopf Neil G R Broderick Juan A Levenson Alejandro M Yacomotti |
| author_facet | Andrus Giraldo Bernd Krauskopf Neil G R Broderick Juan A Levenson Alejandro M Yacomotti |
| author_sort | Andrus Giraldo |
| collection | DOAJ |
| description | We present the phase diagram of the mean-field driven-dissipative Bose–Hubbard dimer model. For a dimer with repulsive on-site interactions ( U > 0) and coherent driving, we prove that ${{\mathbb{Z}}}_{2}$ -symmetry breaking, via pitchfork bifurcations with sizable extensions of the asymmetric solutions, require a negative tunneling parameter ( J < 0). In addition, we show that the model exhibits deterministic dissipative chaos. The chaotic attractor emerges from a Shilnikov mechanism of a periodic orbit born in a Hopf bifurcation and, depending on its symmetry properties, it is either localized or not. |
| first_indexed | 2024-03-12T16:31:11Z |
| format | Article |
| id | doaj.art-2045de3a41bf45f7bf4348c17f8b17b1 |
| 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-2045de3a41bf45f7bf4348c17f8b17b12023-08-08T15:29:41ZengIOP PublishingNew Journal of Physics1367-26302020-01-0122404300910.1088/1367-2630/ab7539The driven-dissipative Bose–Hubbard dimer: phase diagram and chaosAndrus Giraldo0https://orcid.org/0000-0002-6742-775XBernd Krauskopf1Neil G R Broderick2Juan A Levenson3Alejandro M Yacomotti4Dodd-Wall Centre for Photonic and Quantum Technologies and Department of Mathematics, The University of Auckland , New ZealandDodd-Wall Centre for Photonic and Quantum Technologies and Department of Mathematics, The University of Auckland , New ZealandDodd-Wall Centre for Photonic and Quantum Technologies and Department of Physics, The University of Auckland , New ZealandCentre de Nanosciences et de Nanotechnologies, Université Paris-Sud, Université Paris-Saclay , Palaiseau, FranceCentre de Nanosciences et de Nanotechnologies, Université Paris-Sud, Université Paris-Saclay , Palaiseau, FranceWe present the phase diagram of the mean-field driven-dissipative Bose–Hubbard dimer model. For a dimer with repulsive on-site interactions ( U > 0) and coherent driving, we prove that ${{\mathbb{Z}}}_{2}$ -symmetry breaking, via pitchfork bifurcations with sizable extensions of the asymmetric solutions, require a negative tunneling parameter ( J < 0). In addition, we show that the model exhibits deterministic dissipative chaos. The chaotic attractor emerges from a Shilnikov mechanism of a periodic orbit born in a Hopf bifurcation and, depending on its symmetry properties, it is either localized or not.https://doi.org/10.1088/1367-2630/ab7539Bose–Hubbard dimerphase transitionssymmetry breakingmultistabilityShilnikov chaosnonlinear optics |
| spellingShingle | Andrus Giraldo Bernd Krauskopf Neil G R Broderick Juan A Levenson Alejandro M Yacomotti The driven-dissipative Bose–Hubbard dimer: phase diagram and chaos New Journal of Physics Bose–Hubbard dimer phase transitions symmetry breaking multistability Shilnikov chaos nonlinear optics |
| title | The driven-dissipative Bose–Hubbard dimer: phase diagram and chaos |
| title_full | The driven-dissipative Bose–Hubbard dimer: phase diagram and chaos |
| title_fullStr | The driven-dissipative Bose–Hubbard dimer: phase diagram and chaos |
| title_full_unstemmed | The driven-dissipative Bose–Hubbard dimer: phase diagram and chaos |
| title_short | The driven-dissipative Bose–Hubbard dimer: phase diagram and chaos |
| title_sort | driven dissipative bose hubbard dimer phase diagram and chaos |
| topic | Bose–Hubbard dimer phase transitions symmetry breaking multistability Shilnikov chaos nonlinear optics |
| url | https://doi.org/10.1088/1367-2630/ab7539 |
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