Signatures of self-trapping in the driven-dissipative Bose–Hubbard dimer
We investigate signatures of a self-trapping transition in the driven-dissipative Bose Hubbard dimer, in presence of incoherent pump and single-particle losses. For fully symmetric couplings the stationary state density matrix is independent of any Hamiltonian parameter, and cannot therefore capture...
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Format: | Article |
Language: | English |
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IOP Publishing
2021-01-01
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Series: | New Journal of Physics |
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Online Access: | https://doi.org/10.1088/1367-2630/ac04c8 |
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author | Matteo Seclì Massimo Capone Marco Schirò |
author_facet | Matteo Seclì Massimo Capone Marco Schirò |
author_sort | Matteo Seclì |
collection | DOAJ |
description | We investigate signatures of a self-trapping transition in the driven-dissipative Bose Hubbard dimer, in presence of incoherent pump and single-particle losses. For fully symmetric couplings the stationary state density matrix is independent of any Hamiltonian parameter, and cannot therefore capture the competition between hopping-induced delocalization and the interaction-dominated self-trapping regime. We focus instead on the exact quantum dynamics of the particle imbalance after the system is prepared in a variety of initial states, and on the frequency-resolved spectral properties of the steady state, as encoded in the single-particle Green’s functions. We find clear signatures of a localization-delocalization crossover as a function of hopping to interaction ratio. We further show that a finite a pump-loss asymmetry restores a delocalization crossover in the steady-state imbalance and leads to a finite intra-dimer dissipation. |
first_indexed | 2024-03-12T16:28:59Z |
format | Article |
id | doaj.art-eddf7d4ce4044804afeef908345cb118 |
institution | Directory Open Access Journal |
issn | 1367-2630 |
language | English |
last_indexed | 2024-03-12T16:28:59Z |
publishDate | 2021-01-01 |
publisher | IOP Publishing |
record_format | Article |
series | New Journal of Physics |
spelling | doaj.art-eddf7d4ce4044804afeef908345cb1182023-08-08T15:35:32ZengIOP PublishingNew Journal of Physics1367-26302021-01-0123606305610.1088/1367-2630/ac04c8Signatures of self-trapping in the driven-dissipative Bose–Hubbard dimerMatteo Seclì0https://orcid.org/0000-0002-9608-096XMassimo Capone1https://orcid.org/0000-0002-9811-5089Marco Schirò2https://orcid.org/0000-0001-7585-9475International School for Advanced Studies (SISSA) , Via Bonomea 265, I-34136 Trieste, ItalyInternational School for Advanced Studies (SISSA) , Via Bonomea 265, I-34136 Trieste, Italy; CNR-IOM Democritos , Via Bonomea 265, I-34136 Trieste, ItalyJEIP, USR 3573 CNRS, Collége de France, PSL Research University , 11 Place Marcelin Berthelot, 75321 Paris Cedex 05, FranceWe investigate signatures of a self-trapping transition in the driven-dissipative Bose Hubbard dimer, in presence of incoherent pump and single-particle losses. For fully symmetric couplings the stationary state density matrix is independent of any Hamiltonian parameter, and cannot therefore capture the competition between hopping-induced delocalization and the interaction-dominated self-trapping regime. We focus instead on the exact quantum dynamics of the particle imbalance after the system is prepared in a variety of initial states, and on the frequency-resolved spectral properties of the steady state, as encoded in the single-particle Green’s functions. We find clear signatures of a localization-delocalization crossover as a function of hopping to interaction ratio. We further show that a finite a pump-loss asymmetry restores a delocalization crossover in the steady-state imbalance and leads to a finite intra-dimer dissipation.https://doi.org/10.1088/1367-2630/ac04c8open quantum systemsLindblad master equationdissipative phase transitionsBose Hubbard dimercoupled BEC |
spellingShingle | Matteo Seclì Massimo Capone Marco Schirò Signatures of self-trapping in the driven-dissipative Bose–Hubbard dimer New Journal of Physics open quantum systems Lindblad master equation dissipative phase transitions Bose Hubbard dimer coupled BEC |
title | Signatures of self-trapping in the driven-dissipative Bose–Hubbard dimer |
title_full | Signatures of self-trapping in the driven-dissipative Bose–Hubbard dimer |
title_fullStr | Signatures of self-trapping in the driven-dissipative Bose–Hubbard dimer |
title_full_unstemmed | Signatures of self-trapping in the driven-dissipative Bose–Hubbard dimer |
title_short | Signatures of self-trapping in the driven-dissipative Bose–Hubbard dimer |
title_sort | signatures of self trapping in the driven dissipative bose hubbard dimer |
topic | open quantum systems Lindblad master equation dissipative phase transitions Bose Hubbard dimer coupled BEC |
url | https://doi.org/10.1088/1367-2630/ac04c8 |
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