Speed limits to the growth of Krylov complexity in open quantum systems

Recently, the propagation of information through quantum many-body systems, developed to study quantum chaos, have found many application from black holes to disordered spin systems. Among other quantitative tools, Krylov complexity has been explored as a diagnostic tool for information scrambling i...

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Bibliographic Details
Published in:arXiv.org 2024-06
Main Authors: Bhattacharya, Aranya, Pingal, Pratyush Nath, Sahu, Himanshu
Format: Article
Language:English
Subjects:
Complexity
Dissipation
Ising model
Speed limits
Online Access:Get full text
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Summary:Recently, the propagation of information through quantum many-body systems, developed to study quantum chaos, have found many application from black holes to disordered spin systems. Among other quantitative tools, Krylov complexity has been explored as a diagnostic tool for information scrambling in quantum many-body systems. We introduce a universal limit to the growth of the Krylov complexity in dissipative open quantum systems by utilizing the uncertainty relation for non-hermitian operators. We also present the analytical results of Krylov complexity for characteristic behavior of Lanczos coefficients in dissipative systems. The validity of these results are demonstrated by explicit study of transverse-field Ising model under dissipative effects.
ISSN:2331-8422
DOI:10.48550/arxiv.2403.03584