Finite-Time Dynamics of an Entanglement Engine : Current, Fluctuations and Kinetic Uncertainty Relations
(2024) In Entropy 26(6).- Abstract
Entanglement engines are autonomous quantum thermal machines designed to generate entanglement from the presence of a particle current flowing through the device. In this work, we investigate the functioning of a two-qubit entanglement engine beyond the steady-state regime. Within a master equation approach, we derive the time-dependent state, the particle current, as well as the associated current correlation functions. Our findings establish a direct connection between coherence and internal current, elucidating the existence of a critical current that serves as an indicator for entanglement in the steady state. We then apply our results to investigate kinetic uncertainty relations (KURs) at finite times. We demonstrate that there is... (More)
Entanglement engines are autonomous quantum thermal machines designed to generate entanglement from the presence of a particle current flowing through the device. In this work, we investigate the functioning of a two-qubit entanglement engine beyond the steady-state regime. Within a master equation approach, we derive the time-dependent state, the particle current, as well as the associated current correlation functions. Our findings establish a direct connection between coherence and internal current, elucidating the existence of a critical current that serves as an indicator for entanglement in the steady state. We then apply our results to investigate kinetic uncertainty relations (KURs) at finite times. We demonstrate that there is more than one possible definition for KURs at finite times. Although the two definitions agree in the steady-state regime, they lead to different parameter ranges for violating KUR at finite times.
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- author
- Bourgeois, Jeanne ; Blasi, Gianmichele ; Khandelwal, Shishir LU and Haack, Géraldine
- organization
- publishing date
- 2024-06
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- current fluctuations, open quantum systems, quantum correlations, quantum dynamics
- in
- Entropy
- volume
- 26
- issue
- 6
- article number
- 497
- publisher
- MDPI AG
- external identifiers
-
- pmid:38920506
- scopus:85197892794
- ISSN
- 1099-4300
- DOI
- 10.3390/e26060497
- language
- English
- LU publication?
- yes
- id
- 7974ccbc-aa5e-49ee-a5b7-55c57b76bfa4
- date added to LUP
- 2024-10-14 14:24:32
- date last changed
- 2025-07-08 12:56:06
@article{7974ccbc-aa5e-49ee-a5b7-55c57b76bfa4,
abstract = {{<p>Entanglement engines are autonomous quantum thermal machines designed to generate entanglement from the presence of a particle current flowing through the device. In this work, we investigate the functioning of a two-qubit entanglement engine beyond the steady-state regime. Within a master equation approach, we derive the time-dependent state, the particle current, as well as the associated current correlation functions. Our findings establish a direct connection between coherence and internal current, elucidating the existence of a critical current that serves as an indicator for entanglement in the steady state. We then apply our results to investigate kinetic uncertainty relations (KURs) at finite times. We demonstrate that there is more than one possible definition for KURs at finite times. Although the two definitions agree in the steady-state regime, they lead to different parameter ranges for violating KUR at finite times.</p>}},
author = {{Bourgeois, Jeanne and Blasi, Gianmichele and Khandelwal, Shishir and Haack, Géraldine}},
issn = {{1099-4300}},
keywords = {{current fluctuations; open quantum systems; quantum correlations; quantum dynamics}},
language = {{eng}},
number = {{6}},
publisher = {{MDPI AG}},
series = {{Entropy}},
title = {{Finite-Time Dynamics of an Entanglement Engine : Current, Fluctuations and Kinetic Uncertainty Relations}},
url = {{http://dx.doi.org/10.3390/e26060497}},
doi = {{10.3390/e26060497}},
volume = {{26}},
year = {{2024}},
}