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

Bhattacharya, A and Nath, PP and Sahu, H (2024) Speed limits to the growth of Krylov complexity in open quantum systems. In: Physical Review D, 109 (12).

PDF Phy_Rev_DVo_109_1215_Jun_2024_L121902.pdf - Published Version Restricted to Registered users only Download (403kB) | Request a copy

Abstract

Recently, the propagation of information through quantum many-body systems, developed to study quantum chaos, have found many applications 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 is demonstrated by explicit study of transverse-field Ising model under dissipative effects. © 2024 American Physical Society.

Item Type:	Journal Article
Publication:	Physical Review D
Publisher:	American Physical Society
Additional Information:	The copyright for this article belongs to American Physical Society.
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for High Energy Physics Division of Physical & Mathematical Sciences > Instrumentation Appiled Physics Division of Physical & Mathematical Sciences > Physics
Date Deposited:	31 Jul 2024 05:15
Last Modified:	31 Jul 2024 05:15
URI:	http://eprints.iisc.ac.in/id/eprint/85704

Actions (login required)

View Item