Kinetic uncertainty relations for quantum transport
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911051081056256 |
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| author | Palmqvist, Didrik Tesser, Ludovico Splettstoesser, Janine |
| author_facet | Palmqvist, Didrik Tesser, Ludovico Splettstoesser, Janine |
| contents | We analyze the precision of currents in a generic multi-terminal quantum-transport setting. Employing scattering theory, we show that the precision of the currents is limited by a function of the particle-current noise that can be interpreted as the activity in the classical limit. We thereby establish a kinetic uncertainty relation for quantum transport. In the full quantum limit, we find precision bounds in which we modify the activity constraints depending on whether the system is fermionic or bosonic. We expect these bounds to be guidelines for any transport process aiming at high precision. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_10793 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kinetic uncertainty relations for quantum transport Palmqvist, Didrik Tesser, Ludovico Splettstoesser, Janine Mesoscale and Nanoscale Physics Quantum Physics We analyze the precision of currents in a generic multi-terminal quantum-transport setting. Employing scattering theory, we show that the precision of the currents is limited by a function of the particle-current noise that can be interpreted as the activity in the classical limit. We thereby establish a kinetic uncertainty relation for quantum transport. In the full quantum limit, we find precision bounds in which we modify the activity constraints depending on whether the system is fermionic or bosonic. We expect these bounds to be guidelines for any transport process aiming at high precision. |
| title | Kinetic uncertainty relations for quantum transport |
| topic | Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2410.10793 |