Real-space circuit complexity as a probe of phase diagrams
(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.
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https://lup.lub.lu.se/record/b0b7fba2-a14f-463c-bdcd-ea10f9c4c92b
- author
- Jayarama, Nishan C. and Svensson, Viktor LU
- organization
- publishing date
- 2023-02
- 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}}, }