Kinetic uncertainty relations for quantum transport

• URL: http://arxiv.org/abs/2410.10793v2
• Date: Mon, 21 Oct 2024 15:27:11 GMT
• Title: Kinetic uncertainty relations for quantum transport
• Authors: Didrik Palmqvist, Ludovico Tesser, Janine Splettstoesser,
• Abstract summary: 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. 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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