Floquet conformal field theories with generally deformed Hamiltonians
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.
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).Attached Files
Published - SciPostPhys_10_2_049.pdf
Accepted Version - 2011.09491.pdf
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Additional details
- Eprint ID
- 109310
- Resolver ID
- CaltechAUTHORS:20210528-144200054
- 651440
- Simons Foundation
- D18AC00033
- Defense Advanced Research Projects Agency (DARPA)
- GBMF4303
- Gordon and Betty Moore Foundation
- GBMF4306
- Gordon and Betty Moore Foundation
- Created
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2021-05-28Created from EPrint's datestamp field
- Updated
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2021-05-28Created from EPrint's last_modified field