A topologically protected quantum dynamo effect in a driven spin-boson model
International audience We describe a quantum dynamo effect in a driven system coupled to a harmonic oscillator describing a cavity mode or to a collection of modes forming an Ohmic bosonic bath. When the system Hamiltonian changes in time, this induces a dynamical field in the bosonic modes having r...
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ftanrparis:oai:HAL:hal-03762951v1 2024-10-06T13:52:52+00:00 A topologically protected quantum dynamo effect in a driven spin-boson model Bernhardt, Ephraim Elouard, Cyril Hur, Karyn Le Le Hur, Karyn Centre de Physique Théorique Palaiseau (CPHT) École polytechnique (X) Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris)-Centre National de la Recherche Scientifique (CNRS) Traitement optimal de l'information avec des dispositifs quantiques (QINFO) Inria Grenoble - Rhône-Alpes Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-École normale supérieure de Lyon (ENS de Lyon)-Université Claude Bernard Lyon 1 (UCBL) Université de Lyon-Université de Lyon-Université Grenoble Alpes (UGA)-Inria Lyon Institut National de Recherche en Informatique et en Automatique (Inria) ANR-20-ERC9-0010,QSTEAM,Thermodynamique quantique stochastique de l'intrication et de la mesure(2020) ANR-18-CE47-0003,BOCA,Simuler le modèle de Bose-Hubbard dans des circuits supraconducteurs(2018) 2023 https://hal.science/hal-03762951 https://doi.org/10.1103/PhysRevA.107.022219 en eng HAL CCSD American Physical Society info:eu-repo/semantics/altIdentifier/arxiv/2208.01707 info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.107.022219 hal-03762951 https://hal.science/hal-03762951 ARXIV: 2208.01707 doi:10.1103/PhysRevA.107.022219 INSPIRE: 2131862 ISSN: 2469-9926 EISSN: 2469-9934 Physical Review A https://hal.science/hal-03762951 Physical Review A, 2023, 107 (2), pp.022219. ⟨10.1103/PhysRevA.107.022219⟩ resonance frequency oscillator harmonic boson coherence adiabatic Hamiltonian cavity magnetic field topological sphere pole Bloch sphere formation performance velocity spin electromagnetic field topology [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph] [PHYS.COND]Physics [physics]/Condensed Matter [cond-mat] info:eu-repo/semantics/article Journal articles 2023 ftanrparis https://doi.org/10.1103/PhysRevA.107.022219 2024-09-11T23:45:10Z International audience We describe a quantum dynamo effect in a driven system coupled to a harmonic oscillator describing a cavity mode or to a collection of modes forming an Ohmic bosonic bath. When the system Hamiltonian changes in time, this induces a dynamical field in the bosonic modes having resonant frequencies with the driving velocity. This field opposes the change of the external driving field in a way reminiscent of the Faraday effect in electrodynamics, justifying the term `quantum dynamo effect'. For the specific situation of a periodically driven spin-$\frac{1}{2}$ on the Bloch sphere, we show that the work done by rolling the spin from north to south pole can efficiently be converted into a coherent displacement of the resonant bosonic modes, the effect thus corresponds to a work-to-work conversion and allows to interpret this transmitted energy into the bath as work. We study this effect, its performance and limitations in detail for a driven spin-$\frac{1}{2}$ in the presence of a radial magnetic field addressing a relation with topological systems through the formation of an effective charge in the core of the sphere. We show that the dynamo effect is directly related to the dynamically measured topology of this spin-$\frac{1}{2}$ and thus in the adiabatic limit provides a topologically protected method to convert driving work into a coherent field in the reservoir. The quantum dynamo model is realizable in mesoscopic and atomic systems. Article in Journal/Newspaper South pole Portail HAL-ANR (Agence Nationale de la Recherche) Faraday ENVELOPE(-64.256,-64.256,-65.246,-65.246) South Pole Physical Review A 107 2 |
institution |
Open Polar |
collection |
Portail HAL-ANR (Agence Nationale de la Recherche) |
op_collection_id |
ftanrparis |
language |
English |
topic |
resonance frequency oscillator harmonic boson coherence adiabatic Hamiltonian cavity magnetic field topological sphere pole Bloch sphere formation performance velocity spin electromagnetic field topology [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph] [PHYS.COND]Physics [physics]/Condensed Matter [cond-mat] |
spellingShingle |
resonance frequency oscillator harmonic boson coherence adiabatic Hamiltonian cavity magnetic field topological sphere pole Bloch sphere formation performance velocity spin electromagnetic field topology [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph] [PHYS.COND]Physics [physics]/Condensed Matter [cond-mat] Bernhardt, Ephraim Elouard, Cyril Hur, Karyn Le Le Hur, Karyn A topologically protected quantum dynamo effect in a driven spin-boson model |
topic_facet |
resonance frequency oscillator harmonic boson coherence adiabatic Hamiltonian cavity magnetic field topological sphere pole Bloch sphere formation performance velocity spin electromagnetic field topology [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph] [PHYS.COND]Physics [physics]/Condensed Matter [cond-mat] |
description |
International audience We describe a quantum dynamo effect in a driven system coupled to a harmonic oscillator describing a cavity mode or to a collection of modes forming an Ohmic bosonic bath. When the system Hamiltonian changes in time, this induces a dynamical field in the bosonic modes having resonant frequencies with the driving velocity. This field opposes the change of the external driving field in a way reminiscent of the Faraday effect in electrodynamics, justifying the term `quantum dynamo effect'. For the specific situation of a periodically driven spin-$\frac{1}{2}$ on the Bloch sphere, we show that the work done by rolling the spin from north to south pole can efficiently be converted into a coherent displacement of the resonant bosonic modes, the effect thus corresponds to a work-to-work conversion and allows to interpret this transmitted energy into the bath as work. We study this effect, its performance and limitations in detail for a driven spin-$\frac{1}{2}$ in the presence of a radial magnetic field addressing a relation with topological systems through the formation of an effective charge in the core of the sphere. We show that the dynamo effect is directly related to the dynamically measured topology of this spin-$\frac{1}{2}$ and thus in the adiabatic limit provides a topologically protected method to convert driving work into a coherent field in the reservoir. The quantum dynamo model is realizable in mesoscopic and atomic systems. |
author2 |
Centre de Physique Théorique Palaiseau (CPHT) École polytechnique (X) Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris)-Centre National de la Recherche Scientifique (CNRS) Traitement optimal de l'information avec des dispositifs quantiques (QINFO) Inria Grenoble - Rhône-Alpes Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-École normale supérieure de Lyon (ENS de Lyon)-Université Claude Bernard Lyon 1 (UCBL) Université de Lyon-Université de Lyon-Université Grenoble Alpes (UGA)-Inria Lyon Institut National de Recherche en Informatique et en Automatique (Inria) ANR-20-ERC9-0010,QSTEAM,Thermodynamique quantique stochastique de l'intrication et de la mesure(2020) ANR-18-CE47-0003,BOCA,Simuler le modèle de Bose-Hubbard dans des circuits supraconducteurs(2018) |
format |
Article in Journal/Newspaper |
author |
Bernhardt, Ephraim Elouard, Cyril Hur, Karyn Le Le Hur, Karyn |
author_facet |
Bernhardt, Ephraim Elouard, Cyril Hur, Karyn Le Le Hur, Karyn |
author_sort |
Bernhardt, Ephraim |
title |
A topologically protected quantum dynamo effect in a driven spin-boson model |
title_short |
A topologically protected quantum dynamo effect in a driven spin-boson model |
title_full |
A topologically protected quantum dynamo effect in a driven spin-boson model |
title_fullStr |
A topologically protected quantum dynamo effect in a driven spin-boson model |
title_full_unstemmed |
A topologically protected quantum dynamo effect in a driven spin-boson model |
title_sort |
topologically protected quantum dynamo effect in a driven spin-boson model |
publisher |
HAL CCSD |
publishDate |
2023 |
url |
https://hal.science/hal-03762951 https://doi.org/10.1103/PhysRevA.107.022219 |
long_lat |
ENVELOPE(-64.256,-64.256,-65.246,-65.246) |
geographic |
Faraday South Pole |
geographic_facet |
Faraday South Pole |
genre |
South pole |
genre_facet |
South pole |
op_source |
ISSN: 2469-9926 EISSN: 2469-9934 Physical Review A https://hal.science/hal-03762951 Physical Review A, 2023, 107 (2), pp.022219. ⟨10.1103/PhysRevA.107.022219⟩ |
op_relation |
info:eu-repo/semantics/altIdentifier/arxiv/2208.01707 info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.107.022219 hal-03762951 https://hal.science/hal-03762951 ARXIV: 2208.01707 doi:10.1103/PhysRevA.107.022219 INSPIRE: 2131862 |
op_doi |
https://doi.org/10.1103/PhysRevA.107.022219 |
container_title |
Physical Review A |
container_volume |
107 |
container_issue |
2 |
_version_ |
1812181474531606528 |