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  • Letter
  • Open Access

Physical consequences of Lindbladian invariance transformations

Yohan Vianna de Almeida*, Fernando Nicacio†, and Marcelo F. Santos‡

  • *Contact author: yohanvianna@pos.if.ufrj.br
  • †Contact author: nicacio@if.ufrj.br
  • ‡Contact author: mfsantos@if.ufrj.br
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Phys. Rev. Research 6, L042055 – Published 4 December, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L042055

Abstract

On its own, the invariance properties of Markovian master equations have mostly played a mathematical or computational role in the evaluation of quantum open system dynamics. Because all forms of the equation lead to the same time evolution for the state of the system, the fixation of a particular form has only gained physical meaning when correlated with additional information such as in the evolution of quantum trajectories or the study of decoherence-free subspaces. Here, we show that these symmetry transformations can be exploited, on their own, to optimize practical physical tasks. In particular, we present a general formulation showing how they can be used to change the measurable values of physical quantities regarding the exchange of energy and/or information with the environment. We also analyze examples of optimization in quantum thermodynamics and, finally, discuss practical implementations in terms of quantum trajectories.

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Phys. Rev. Research 6, L042055– Published 4 December, 2024
  • Received 2 July 2024
  • Accepted 20 November 2024
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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