Real space circuit complexity as a probe of phase diagrams
Quantum Physics
2023-02-13 v2 Statistical Mechanics
High Energy Physics - Theory
Abstract
Circuit complexity has been used as a tool to study various properties in condensed matter systems, in particular as a way to probe the phase diagram. However, compared with measures based on entanglement, complexity has been found lacking. We show that when imposing penalty factors punishing non-locality, it becomes a much stronger probe of the phase diagram, able to probe more subtle features. We do this by deriving analytical solutions for the complexity in the XY chain with transverse field.
Cite
@article{arxiv.2211.14106,
title = {Real space circuit complexity as a probe of phase diagrams},
author = {Nishan C. Jayarama and Viktor Svensson},
journal= {arXiv preprint arXiv:2211.14106},
year = {2023}
}
Comments
4 pages+appendix; v2: updated author name