Abstract
We study the non-equilibrium dynamics of two coupled SYK models, conjectured to be holographically dual to an eternal traversable wormhole in AdS2. We consider different periodic drivings of the parameters of the system. We analyze the energy flows in the wormhole and black hole phases of the model as a function of the driving frequency. Our numerical results show a series of resonant frequencies in which the energy absorption and heating are enhanced significantly and the transmission coefficients drop, signalling a closure of the wormhole. These frequencies correspond to part of the conformal tower of states and to the boundary graviton of the dual gravitational theory. Furthermore, we provide evidence supporting the existence of a hot wormhole phase between the black hole and wormhole phases. When driving the strength of the separate SYK terms we find that the transmission can be enhanced by suitably tuning the driving.
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Acknowledgments
We would like to thank J.J. Blanco-Pillado, Elena Cáceres, Lata K. Joshi, Clemens Kuhlenkamp, Étienne Lantagne-Hurtubise, Ancel Larzul, Juan Maldacena, Stephan Plugge, Lucas Sá, Marco Schiró, Michael Schüler and Gustavo Turiaci, for stimulating and helpful discussions.
Simulations in this work were made possible through the access granted by the Galician Supercomputing Center (CESGA) to its supercomputing infrastructure. The supercomputer FinisTerrae III and its permanent data storage system have been funded by the Spanish Ministry of Science and Innovation, the Galician Government and the European Regional Development Fund (ERDF). This work has received financial support from Xunta de Galicia (Centro singular de investigación de Galicia accreditation 2019-2022, and grant ED431C-2021/14), by European Union ERDF, and by the “María de Maeztu” Units of Excellence program MDM-2016-0692 and the Spanish Research State Agency (grant PID2020-114157GB-100).
The work of MB has been funded by Xunta de Galicia through the Programa de axudas á etapa predoutoral da Xunta de Galicia (Consellería de Cultura, Educación e Universidade) and the grant 2023-PG083 with reference code ED431F 2023/19. The work of J.SS. was supported by MICIN through the European Union NextGenerationEU recovery plan (PRTR-C17.I1), by the Galician Regional Government through the “Planes Complementarios de I+D+I con las Comunidades Autónomas” in Quantum Communication, and by MCIN/AEI/10.13039/501100011033 and FSE+ with the grant PRE2022-102163.
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Berenguer, M., Dey, A., Mas, J. et al. Floquet SYK wormholes. J. High Energ. Phys. 2024, 106 (2024). https://doi.org/10.1007/JHEP06(2024)106
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DOI: https://doi.org/10.1007/JHEP06(2024)106