Dissipation-Sensitivity Trade-Off in Dissipative Bosonic Systems

Kohei Yoshimura; Ryusuke Hamazaki

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arXiv · 2610.01112

Dissipation-Sensitivity Trade-Off in Dissipative Bosonic Systems

Kohei Yoshimura·Ryusuke Hamazaki

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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.

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Kohei Yoshimura, Ryusuke Hamazaki. 2026-10-01. Dissipation-Sensitivity Trade-Off in Dissipative Bosonic Systems. https://arxiv.org/abs/2610.01112

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