Impurity dephasing in a Bose–Hubbard model

We study the dynamics of a two-level impurity embedded in a two-dimensional Bose–Hubbard (BH) model at zero temperature from an open quantum system perspective. Results for the decoherence across the whole phase diagram are presented, with a focus on the critical region close to the transition betwe...

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Main Authors: Fabio Caleffi, Massimo Capone, Inés de Vega, Alessio Recati
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/abe080
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author Fabio Caleffi
Massimo Capone
Inés de Vega
Alessio Recati
author_facet Fabio Caleffi
Massimo Capone
Inés de Vega
Alessio Recati
author_sort Fabio Caleffi
collection DOAJ
description We study the dynamics of a two-level impurity embedded in a two-dimensional Bose–Hubbard (BH) model at zero temperature from an open quantum system perspective. Results for the decoherence across the whole phase diagram are presented, with a focus on the critical region close to the transition between superfluid and Mott insulator. In particular we show how the decoherence and the deviation from a Markovian behaviour are sensitive to whether the transition is crossed at commensurate or incommensurate densities. The role of the spectrum of the BH environment and its non-Gaussian statistics, beyond the standard independent boson model, is highlighted. Our analysis resorts on a recently developed method (2020 Phys. Rev. Res. 2 033276) – closely related to slave boson approaches – that enables us to capture the correlations across the whole phase diagram. This semi-analytical method provides us with a deep insight into the physics of the spin decoherence in the superfluid and Mott phases as well as close to the phase transitions.
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spelling doaj.art-fff1c3b4e8dc4cfb886f6cc12038acca2023-08-08T15:32:11ZengIOP PublishingNew Journal of Physics1367-26302021-01-0123303301810.1088/1367-2630/abe080Impurity dephasing in a Bose–Hubbard modelFabio Caleffi0https://orcid.org/0000-0002-6573-5716Massimo Capone1Inés de Vega2Alessio Recati3International 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, ItalyDepartment of Physics and Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München , Theresienstr. 37, 80333 Munich, Germany; IQM Germany GmbH , Nymphenburgerstr. 86 80636 Munich, GermanyINO-CNR BEC Center, Dipartimento di Fisica, Università di Trento, Via Sommarive 14, 38123 Povo, Trento, Italy; Trento Institute for Fundamental Physics and Applications, INFN, Dipartimento di Fisica, Università di Trento, Via Sommarive 14, 38123 Povo, Trento, ItalyWe study the dynamics of a two-level impurity embedded in a two-dimensional Bose–Hubbard (BH) model at zero temperature from an open quantum system perspective. Results for the decoherence across the whole phase diagram are presented, with a focus on the critical region close to the transition between superfluid and Mott insulator. In particular we show how the decoherence and the deviation from a Markovian behaviour are sensitive to whether the transition is crossed at commensurate or incommensurate densities. The role of the spectrum of the BH environment and its non-Gaussian statistics, beyond the standard independent boson model, is highlighted. Our analysis resorts on a recently developed method (2020 Phys. Rev. Res. 2 033276) – closely related to slave boson approaches – that enables us to capture the correlations across the whole phase diagram. This semi-analytical method provides us with a deep insight into the physics of the spin decoherence in the superfluid and Mott phases as well as close to the phase transitions.https://doi.org/10.1088/1367-2630/abe080open quantum systemspure dephasingcold gases in optical latticesBose–Hubbard modelquasiparticles and collective excitations
spellingShingle Fabio Caleffi
Massimo Capone
Inés de Vega
Alessio Recati
Impurity dephasing in a Bose–Hubbard model
New Journal of Physics
open quantum systems
pure dephasing
cold gases in optical lattices
Bose–Hubbard model
quasiparticles and collective excitations
title Impurity dephasing in a Bose–Hubbard model
title_full Impurity dephasing in a Bose–Hubbard model
title_fullStr Impurity dephasing in a Bose–Hubbard model
title_full_unstemmed Impurity dephasing in a Bose–Hubbard model
title_short Impurity dephasing in a Bose–Hubbard model
title_sort impurity dephasing in a bose hubbard model
topic open quantum systems
pure dephasing
cold gases in optical lattices
Bose–Hubbard model
quasiparticles and collective excitations
url https://doi.org/10.1088/1367-2630/abe080
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