Real space circuit complexity as a probe of phase diagrams
arXiv:2211.14106 · doi:10.1103/PhysRevB.107.075122
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.
arXiv comment4 pages+appendix; v2: updated author name
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