Symmetry-resolved spread complexity

Authors:
Top Cited Papers
Open Access
Publisher website
Google Scholar
Abstract
A bstract: In this work, we investigate the impact of conserved charges on the dynamics of spread complexity of quantum states. Building on the notion of symmetry-resolved Krylov complexity [1], we extend the framework to general quantum states and analyze the relation between the total spread complexity and its decomposition into fixed-charge sectors. After exploring a range of analytical examples and using orthogonal polynomial approach, we identify conditions under which spread complexity exhibits equipartition across sectors. Finally, we discuss quantum speed limits that constrain the growth of complexity in the presence of conserved charges.
Funding Information
  • European Research Council (101125449)
  • Narodowe Centrum Nauki (2019/34/E/ST2/00123)

This publication has 99 references indexed in Scilit: