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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

Didrik Palmqvist , Ludovico Tesser , Janine Splettstoesser This is my paper · ORCID
classification cond-mat.mes-hallquant-ph
keywords precisionquantumtransportactivityboundscurrentskineticlimit
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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Thermodynamic Uncertainty Relations for Coherent Transport

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    A universal inequality (S/J) sinh[sigma/(2 k_B J)] >= 1 is derived for time-reversal-symmetric coherent fermionic transport, with a weakened factor for broken time-reversal symmetry.

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    cond-mat.mes-hall 2025-09 accept novelty 6.0 of 10

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  4. Fundamental bounds on precision and response for quantum trajectory observables

    quant-ph 2024-11 conditional novelty 6.0 of 10

    New quantum uncertainty relations bound current fluctuations and response by entropy production, dynamical activity, and the symmetrized Liouvillian spectral gap.

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