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PreprintCC BY 4.0arXiv

Dissipation-Sensitivity Trade-Off in Dissipative Bosonic Systems

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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BibTeX
@misc{yoshimura2026dissipationsensitivity,
  title = {{Dissipation-Sensitivity Trade-Off in Dissipative Bosonic Systems}},
  author = {Kohei Yoshimura and Ryusuke Hamazaki},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.01112},
  eprint = {2610.01112},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.01112},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Dissipation-Sensitivity Trade-Off in Dissipative Bosonic Systems
AU  - Kohei Yoshimura
AU  - Ryusuke Hamazaki
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.01112
UR  - https://arxiv.org/abs/2610.01112
AB  - 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.
ER  -