RT Journal Article
T1 Linear response theory for quantum Gaussian processes
A1 Mehboudi, Mohammad
A1 Rodríguez Parrondo, Juan Manuel
A1 Acín, Antonio
AB Fluctuation dissipation theorems (FDTs) connect the linear response of a physical system to a perturbation to the steady-state correlation functions. Until now, most of these theorems have been derived for finite-dimensional systems. However, many relevant physical processes are described by systems of infinite dimension in the Gaussian regime. In this work, we find a linear response theory for quantum Gaussian systems subject to time dependent Gaussian channels. In particular, we establish a FDT for the covariance matrix that connects its linear response at any time to the steady state two-time correlations. The theorem covers non-equilibrium scenarios as it does not require the steady state to be at thermal equilibrium. We further show how our results simplify the study of Gaussian systems subject to a time dependent Lindbladian master equation. Finally, we illustrate the usage of our new scheme through some examples. Due to broad generality of the Gaussian formalism, we expect our results to find an application in many physical platforms, such as opto-mechanical systems in the presence of external noise or driven quantum heat devices.
PB IoP publishing ltd
SN 1367-2630
YR 2019
FD 2019-08-21
LK https://hdl.handle.net/20.500.14352/13806
UL https://hdl.handle.net/20.500.14352/13806
LA eng
NO © 2019 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft. We thank Anna Sanpera, Andreu Riera-Campeny, and Janek Kolodynski for fruitful discussions. Support from the Spanish MINECO (QIBEQI FIS2016-80773-P, ConTrAct FIS2017-83709-R, and Severo Ochoa SEV-2015-0522), the ERC CoG QITBOX, the AXA Chair in Quantum Information Science, Fundacio Privada Cellex, and the Generalitat de Catalunya (CERCA Program and SGR1381) is acknowledged.
NO Ministerio de Economía y Competitividad (MINECO)
NO Ministerio de Ciencia e Innovación (MICINN)
NO Centro de Excelencia Severo Ochoa
NO Generalitat de Catalunya (CERCA Program)
NO ERC CoG QITBOX
NO AXA Chair in Quantum Information Science
NO Fundacio Privada Cellex
NO Generalitat de Catalunya
DS Docta Complutense
RD 17 abr 2025