Quantum Kinetic Uncertainty Relations in Mesoscopic Conductors at Strong Coupling

• URL: http://arxiv.org/abs/2505.13200v2
• Date: Mon, 09 Jun 2025 14:44:58 GMT
• Title: Quantum Kinetic Uncertainty Relations in Mesoscopic Conductors at Strong Coupling
• Authors: Gianmichele Blasi, Ricard Ravell Rodríguez, Mykhailo Moskalets, Rosa López, Géraldine Haack,
• Abstract summary: Kinetic Uncertainty Relations establish quantum transport precision limits.<n>At strong coupling, quantum coherence challenges the validity of KURs.<n>This QKUR ensures that uncertainty relations are valid across all coupling strengths.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Kinetic Uncertainty Relations (KURs) establish quantum transport precision limits by linking signal-to-noise ratio (SNR) to the system's dynamical activity, valid in the weak-coupling regime where particle-like transport dominates. At strong coupling, quantum coherence challenges the validity of KURs and questions the meaning of the concept of activity itself. Here, we introduce a generalized dynamical activity valid at arbitrary coupling and derive a steady-state quantum KUR (QKUR) expressed in terms of this generalized activity. Explicit expressions are obtained within Green's function and Landauer-B\"uttiker formalisms. This QKUR ensures that uncertainty relations are valid across all coupling strengths, offering a general framework for out-of-equilibrium quantum transport precision analysis. We illustrate these concepts for paradigmatic quantum-coherent mesoscopic devices: a single quantum channel pinched by a quantum point contact and open single- and double-quantum dot systems.

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