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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Complexity and Floquet dynamics: Nonequilibrium Ising phase transitions

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Camilo, Giancarlo [1] ; Teixeira, Daniel [2]
Total Authors: 2
[1] Univ Fed Rio Grande do Norte, Int Inst Phys, Campus Univ, BR-59078970 Natal, RN - Brazil
[2] Univ Sao Paulo, Inst Phys, BR-05314970 Sao Paulo - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Physical Review B; v. 102, n. 17 NOV 9 2020.
Web of Science Citations: 0

We study the time-dependent circuit complexity of the periodically driven transverse field Ising model using Nielsen's geometric approach. In the high-frequency driving limit the system is known to exhibit nonequilibrium phase transitions governed by the amplitude of the driving field. We analytically compute the complexity in this regime and show that it clearly distinguishes between the different phases, exhibiting a universal linear behavior at early times. We also evaluate the time-averaged complexity, provide evidence of nonanalytic behavior at the critical points, and discuss its origin. Finally, we comment on the freezing of quantum dynamics at specific configurations and on the use of complexity as a tool to understand quantum phase transitions in Floquet systems. (AU)

FAPESP's process: 17/02300-2 - Aspects of quantum information in quantum field theory and holography
Grantee:Daniel Lombelo Teixeira Júnior
Support type: Scholarships in Brazil - Doctorate