Real-time correlation function of Floquet conformal fields

Rasmus Malthe Fiil Andersen; Nikolaj Thomas Zinner; Frederik Brændsgaard Nørfjand

doi:10.1103/PhysRevD.103.056005

Real-time correlation function of Floquet conformal fields

Rasmus Malthe Fiil Andersen, Nikolaj Thomas Zinner, Frederik Brændsgaard Nørfjand

Department of Physics and Astronomy

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Letter › peer-review

8 Citations (Scopus)

Abstract

Conformal field theories (CFT) play an important role in quantum field theories as they allow for exact studies that are hard to access without the conformal symmetries in place. A remarkable recent development is the application of conformal field theory to periodically driven systems, the so-called Floquet-driven CFTs. A number of recent works have found that there are classes of periodically driven (1+1)-dimensional CFTs that can be analytically solved, and that show both heating and nonheating phases, as well as unusual properties in terms of information scrambling. Hitherto, most results have focused on the dynamics of such models at stroboscopic times, i.e., samples taken at each period of the time evolution. In this paper, we consider time evolution at arbitrary real times and derive formulas for the exact time propagation of heating and nonheating classes of Floquet-driven CFTs. This requires a subtle treatment of nonstroboscopic time that leads to different interpretations in terms of curved space-time dynamics in these systems compared to previous results in the literature.

Original language	English
Article number	056005
Journal	Physical Review D
Volume	103
Issue	5
Number of pages	11
ISSN	2470-0010
DOIs	https://doi.org/10.1103/PhysRevD.103.056005
Publication status	Published - 10 Mar 2021

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10.1103/PhysRevD.103.056005

https://arxiv.org/pdf/2011.08494.pdf

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abstract = "Conformal field theories (CFT) play an important role in quantum field theories as they allow for exact studies that are hard to access without the conformal symmetries in place. A remarkable recent development is the application of conformal field theory to periodically driven systems, the so-called Floquet-driven CFTs. A number of recent works have found that there are classes of periodically driven (1+1)-dimensional CFTs that can be analytically solved, and that show both heating and nonheating phases, as well as unusual properties in terms of information scrambling. Hitherto, most results have focused on the dynamics of such models at stroboscopic times, i.e., samples taken at each period of the time evolution. In this paper, we consider time evolution at arbitrary real times and derive formulas for the exact time propagation of heating and nonheating classes of Floquet-driven CFTs. This requires a subtle treatment of nonstroboscopic time that leads to different interpretations in terms of curved space-time dynamics in these systems compared to previous results in the literature.",

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AU - Nørfjand, Frederik Brændsgaard

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Real-time correlation function of Floquet conformal fields

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