On the generality of symmetry breaking and dissipative freezing in quantum trajectories
Entity
UAM. Departamento de Física Teórica de la Materia CondensadaPublisher
SciPostDate
2023-01-25Citation
10.21468/SciPostPhysCore.6.1.004
SciPost Physics Core 6.1 (2023): 004
ISSN
2666-9366 (online)DOI
10.21468/SciPostPhysCore.6.1.004Funded by
C.S.M. acknowledges that the project which gave rise to these results received the support of a fellowship from "la Caixa" foundation (ID 100010434) and from European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 847648, with fellowship code LCF/BQ/P120/11760026, and financial support from the Proyecto Sinérgico CAM 2020 Y2020/TCS-6545 (NanoQuCo-CM). DJ and JT acknowledge funding from EPSRC grant EP/P009565/1. DJ also acknowledges funding from the Cluster of Excellence ‘Advanced Imaging of Matter’ of the Deutsche Forschungsgemeinschaft (DFG) - EXC 2056 - project ID 390715994. We are also grateful to Berislav Buˇca for discussions on dissipative freezing and for suggesting the coupled modelProject
info:eu-repo/grantAgreement/EC/H2020/847648/EU//JUNIOR LEADEREditor's Version
https://doi.org/10.21468/SciPostPhysCore.6.1.004Subjects
Quantum Optics; Thermalization (Energy Absorption); Eigenvalues and Eigenfunctions; FísicaRights
© 2023 The authorsAbstract
Recently, several studies involving open quantum systems which possess a strong symmetry have observed that every individual trajectory in the Monte Carlo unravelling of the master equation will dynamically select a specific symmetry sector to ‘freeze’ into in the long-time limit. This phenomenon has been termed ‘dissipative freezing’, and in this paper we argue, by presenting several simple mathematical perspectives on the problem, that it is a general consequence of the presence of a strong symmetry in an open system with only a few exceptions. Using a number of example systems we illustrate these arguments, uncovering an explicit relationship between the spectral properties of the Liouvillian in off-diagonal symmetry sectors and the time it takes for freezing to occur. In the limiting case that eigenmodes with purely imaginary eigenvalues are manifest in these sectors, freezing fails to occur. Such modes indicate the preservation of information and coherences between symmetry sectors of the system and can lead to phenomena such as non-stationarity and synchronisation. The absence of freezing at the level of a single quantum trajectory provides a simple, computationally efficient way of identifying these traceless modes
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Google Scholar:Tindall, Joseph
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Jaksch, Dieter
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Sánchez Muñoz, Carlos
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