Informational steady states and conditional entropy production in continuously monitored systems: The case of Gaussian systems

Alessio Belenchia, Mauro Paternostro, Gabriel T. Landi

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3 Citations (Scopus)
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The act of measuring a system has profound consequences of dynamical and thermodynamic nature. In particular, the degree of irreversibility ensuing from a nonequilibrium process is strongly affected by measurements aimed at acquiring information on the state of a system of interest: the conditional and unconditional entropy production, which quantify the degree of irreversibility of the open system's dynamics, are related to each other by clearly interpreted informational quantities. Building on a recently proposed collisional model framework [G. T. Landi, M. Paternostro, and A. Belenchia, PRX Quantum 3, 010303 (2022)10.1103/PRXQuantum.3.010303], we investigate the case of continuous-variable information carriers prepared in Gaussian states and undergoing Gaussian processes. We build up a toolbox that fully characterizes the thermodynamics of continuously measured nonequilibrium Gaussian systems and processes, illustrating how the instruments hereby introduced provide key insight into recent experiments on mesoscopic quantum systems [M. Rossi, L. Mancino, G. T. Landi, M. Paternostro, A. Schliesser, and A. Belenchia, Phys. Rev. Lett. 125, 080601 (2020).

Original languageEnglish
Article number022213
JournalPhysical Review A
Issue number2
Publication statusPublished - 22 Feb 2022

Bibliographical note

Funding Information:
We acknowledge support from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) Project No. BR 5221/4-1, the MSCA project pERFEcTO (Grant No. 795782), the H2020-FETOPEN-2018-2020 TEQ (Grant No. 766900), the DfE-SFI Investigator Programme (Grant No. 15/IA/2864), COST Action CA15220, the Royal Society Wolfson Research Fellowship (RSWFR3183013), the Leverhulme Trust Research Project Grant (Grant No. RGP-2018-266), and the UK EPSRC (Grant No. EP/T028106/1).

Publisher Copyright:
© 2022 American Physical Society.

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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