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Kinetic uncertainty relations for quantum transport

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arxiv 2410.10793 v3 pith:BOTKB4RO submitted 2024-10-14 cond-mat.mes-hall quant-ph

Kinetic uncertainty relations for quantum transport

classification cond-mat.mes-hall quant-ph
keywords precisionquantumtransportactivityboundscurrentskineticlimit
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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