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

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

URL: http://arxiv.org/abs/2403.03584v2
Date: Thu, 13 Jun 2024 06:01:41 GMT
Title: Speed limits to the growth of Krylov complexity in open quantum systems
Authors: Aranya Bhattacharya, Pingal Pratyush Nath, Himanshu Sahu,
Abstract summary: We introduce a universal limit to the growth of Krylov complexity in dissipative open quantum systems. We also present the analytical results of Krylov complexity for characteristic behavior of Lanczos coefficients in dissipative systems.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: 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.

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