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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Main Authors: Matteo Seclì, Massimo Capone, Marco Schirò
Format: Article
Language:English
Published: IOP Publishing 2021-01-01
Series:New Journal of Physics
Subjects:
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.
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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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AT massimocapone signaturesofselftrappinginthedrivendissipativebosehubbarddimer
AT marcoschiro signaturesofselftrappinginthedrivendissipativebosehubbarddimer