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June 18, 2026Physical review. A/Physical review, A0 citations

Response kinetic uncertainty relation for Markovian open quantum systems

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KLKangqiao LiuJGJie Gu

Key Points

  • This research aims to formulate a quantum response kinetic uncertainty relation for Markovian open quantum systems.
  • Derived response uncertainty relations using the Lindblad master equation.
  • Analyzed contributions from quantum dynamical activity and perturbation-induced transitions.
  • Identified conditions under which specific contributions to the response vanish.
  • Established a bound on response precision incorporating intersubspace transition terms.
  • Clarified the role of contributions in quantum versus classical limits.
  • Illustrated findings using a model of a driven two-level atom.

Abstract

Response uncertainty relations in stochastic thermodynamics extend precision bounds to the sensitivity of observables under external perturbations. Here we derive a quantum response kinetic uncertainty relation for continuously monitored Markovian open quantum systems in the steady state of the Lindblad master equation. The response precision of a measured trajectory observable is bounded by two contributions: the conventional quantum dynamical activity and a perturbation-induced intersubspace transition term. The latter is absent in the classical limit and captures a genuinely quantum part of the response cost. We identify simple conditions under which either contribution vanishes, and we further clarify the structure of the intersubspace term through a symmetry-resolved decomposition and exact sector-selection rules. The bound and its structure are illustrated in a driven two-level atom.

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Cite This Study

Liu et al. (2026) studied this question.

synapsesocial.com/papers/6a338d20630953a74978e33ahttps://doi.org/10.1103/ps1b-8l1x
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