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Floquet conformal field theories with generally deformed Hamiltonians

Fan, Ruihua and Gu, Yingfei and Vishwanath, Ashvin and Wen, Xueda (2021) Floquet conformal field theories with generally deformed Hamiltonians. SciPost Physics, 10 (2). Art. No. 49. ISSN 2542-4653. doi:10.21468/scipostphys.10.2.049. https://resolver.caltech.edu/CaltechAUTHORS:20210528-144200054

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Abstract

In this work, we study non-equilibrium dynamics in Floquet conformal field theories (CFTs) in 1+1D, in which the driving Hamiltonian involves the energy-momentum density spatially modulated by an arbitrary smooth function. This generalizes earlier work which was restricted to the sine-square deformed type of Floquet Hamiltonians, operating within a sl₂ sub-algebra. Here we show remarkably that the problem remains soluble in this generalized case which involves the full Virasoro algebra, based on a geometrical approach. It is found that the phase diagram is determined by the stroboscopic trajectories of operator evolution. The presence/absence of spatial fixed points in the operator evolution indicates that the driven CFT is in a heating/non-heating phase, in which the entanglement entropy grows/oscillates in time. Additionally, the heating regime is further subdivided into a multitude of phases, with different entanglement patterns and spatial distribution of energy-momentum density, which are characterized by the number of spatial fixed points. Phase transitions between these different heating phases can be achieved simply by changing the duration of application of the driving Hamiltonian. We demonstrate the general features with concrete CFT examples and compare the results to lattice calculations and find remarkable agreement.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.21468/scipostphys.10.2.049DOIArticle
https://arxiv.org/abs/2011.09491arXivDiscussion Paper
ORCID:
AuthorORCID
Gu, Yingfei0000-0001-8645-879X
Additional Information:© 2021 R. Fan et al. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation. Received 19-12-2020; Accepted 17-02-2021; Published 25-02-2021. RF, XW, and AV are supported by a Simons Investigator award (AV) and by the Simons Collaboration on Ultra-Quantum Matter, which is a grant from the Simons Foundation (651440, AV). AV and RF are supported by the DARPA DRINQS program (award D18AC00033). YG is supported by the Simons Foundation through the “It from Qubit" program. This work was also partially supported by Gordon and Betty Moore Foundation’s EPiQS initiative through Grant No. GBMF4303 at MIT (XW), and GBMF4306 at Harvard (YG).
Funders:
Funding AgencyGrant Number
Simons Foundation651440
Defense Advanced Research Projects Agency (DARPA)D18AC00033
Gordon and Betty Moore FoundationGBMF4303
Gordon and Betty Moore FoundationGBMF4306
Issue or Number:2
DOI:10.21468/scipostphys.10.2.049
Record Number:CaltechAUTHORS:20210528-144200054
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210528-144200054
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:109310
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:28 May 2021 22:06
Last Modified:28 May 2021 22:06

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