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Real-space circuit complexity as a probe of phase diagrams

Jayarama, Nishan C. and Svensson, Viktor LU (2023) In Physical Review B 107(7).
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 nonlocality, 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.

Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review B
volume
107
issue
7
article number
075122
publisher
American Physical Society
external identifiers
  • scopus:85148323496
ISSN
2469-9950
DOI
10.1103/PhysRevB.107.075122
language
English
LU publication?
yes
id
b0b7fba2-a14f-463c-bdcd-ea10f9c4c92b
date added to LUP
2023-03-03 14:57:52
date last changed
2023-11-21 16:45:33
@article{b0b7fba2-a14f-463c-bdcd-ea10f9c4c92b,
  abstract     = {{<p>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 nonlocality, 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.</p>}},
  author       = {{Jayarama, Nishan C. and Svensson, Viktor}},
  issn         = {{2469-9950}},
  language     = {{eng}},
  number       = {{7}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review B}},
  title        = {{Real-space circuit complexity as a probe of phase diagrams}},
  url          = {{http://dx.doi.org/10.1103/PhysRevB.107.075122}},
  doi          = {{10.1103/PhysRevB.107.075122}},
  volume       = {{107}},
  year         = {{2023}},
}