Quasiprobability Thermodynamic Uncertainty Relation

• URL: http://arxiv.org/abs/2508.14354v1
• Date: Wed, 20 Aug 2025 01:51:03 GMT
• Title: Quasiprobability Thermodynamic Uncertainty Relation
• Authors: Kohei Yoshimura, Ryusuke Hamazaki,
• Abstract summary: We derive a quantum extension of the thermodynamic uncertainty relation where dynamical fluctuations are quantified by the Terletsky-Margenau-Hill quasiprobability.<n>The obtained inequality plays a complementary role to existing quantum thermodynamic uncertainty relations.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We derive a quantum extension of the thermodynamic uncertainty relation where dynamical fluctuations are quantified by the Terletsky-Margenau-Hill quasiprobability, a quantum generalization of the classical joint probability. The obtained inequality plays a complementary role to existing quantum thermodynamic uncertainty relations, focusing on observables' change rather than exchange of charges through jumps and respecting initial coherence. Quasiprobabilities show anomalous behaviors that are forbidden in classical systems, such as negativity; we reveal that such behaviors are necessary to reduce dissipation beyond classical limitations and show that they are stronger requirements than that the state has quantum coherence. To illustrate these statements, we employ a model that can exhibit a dissipationless heat current, which would be prohibited in classical systems; we construct a state that has much coherence but does not lead to a dissipationless current due to the absence of anomalous behaviors in quasiprobabilities.

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