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This research establishes a fundamental thermodynamic limit linking entropy production in steady states to quantum metrological sensitivity within driven bosonic systems. By deriving rigorous lower bounds for Gaussian and non-Gaussian regimes, the study clarifies the intrinsic trade-off between dissipation required and measurement precision gains. These findings advance our theoretical understanding of how environmental noise constraints impact the performance of future quantum sensors and communication protocols.
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Dissipation-Sensitivity Trade-Off in Dissipative Bosonic Systems

arXiv1 min read

arXiv:2610.01112v1 Announce Type: new Abstract: We discover a universal trade-off between the dissipation required to maintain a quantum state more sensitive than a thermal one and the sensitivity gain for a driven single-mode bosonic system under a thermal environment. Specifically, for Gaussian states, we rigorously derive a lower bound on the entropy production rate in the steady state in terms of the quantum Fisher information gain relative to a thermal reference state. Numerical investigations of Kerr nonlinearities further support that these bounds can hold beyond the Gaussian regime. Our results establish a new connection between steady-state thermodynamics and quantum metrological performance.

Abstract:We discover a universal trade-off between the dissipation required to maintain a quantum state more sensitive than a thermal one and the sensitivity gain for a driven single-mode bosonic system under a thermal environment. Specifically, for Gaussian states, we rigorously derive a lower bound on the entropy production rate in the steady state in terms of the quantum Fisher information gain relative to a thermal reference state. Numerical investigations of Kerr nonlinearities further support that these bounds can hold beyond the Gaussian regime. Our results establish a new connection between steady-state thermodynamics and quantum metrological performance.

Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech)

arXiv:2610.01112 [quant-ph]

(or arXiv:2610.01112v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2610.01112 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 193 words

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