Finite-time dynamics of an entanglement engine: current, fluctuations and kinetic uncertainty relations
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910611801112576 |
|---|---|
| author | Bourgeois, Jeanne Blasi, Gianmichele Khandelwal, Shishir Haack, Géraldine |
| author_facet | Bourgeois, Jeanne Blasi, Gianmichele Khandelwal, Shishir Haack, Géraldine |
| contents | 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 are more than one possible definitions for KURs at finite times. While the two definitions agree in the steady-state regime, they lead to different parameter's ranges for violating KUR at finite times. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_15144 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite-time dynamics of an entanglement engine: current, fluctuations and kinetic uncertainty relations Bourgeois, Jeanne Blasi, Gianmichele Khandelwal, Shishir Haack, Géraldine Quantum Physics Mesoscale and Nanoscale Physics 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 are more than one possible definitions for KURs at finite times. While the two definitions agree in the steady-state regime, they lead to different parameter's ranges for violating KUR at finite times. |
| title | Finite-time dynamics of an entanglement engine: current, fluctuations and kinetic uncertainty relations |
| topic | Quantum Physics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2404.15144 |