Zhang, Pengfei (2019) Evaporation dynamics of the Sachdev-Ye-Kitaev model. Physical Review B, 100 (24). Art. No. 245104. ISSN 2469-9950. doi:10.1103/physrevb.100.245104. https://resolver.caltech.edu/CaltechAUTHORS:20191203-133552677
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Abstract
In this paper, we study the evaporation dynamics of the Sachdev-Ye-Kitaev model, with an initial temperature T_χ, by coupling it to a thermal bath with lower temperature T_ψ < T_χ modeled by a larger SYK model. The coupling between the small system and the bath is turned on at time t = 0. Then the system begins to evolve and finally becomes thermalized. Using the Keldysh approach, we analyze the relaxation process of the system for different temperatures and couplings. For marginal or irrelevant coupling, after a short-time energy absorption, we find a smooth thermalization of the small system where the energy relaxes before the system become thermalized. The relaxation rate of effective temperature is found to be bounded by T, while the energy thermalization rate increases without saturation when increasing the coupling strength. On the contrary, for the relevant coupling case, both energy and effective temperature show oscillations. We find this oscillations frequency to be coincident with the typical excitation energy of the small SYK system.
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| Additional Information: | © 2019 American Physical Society. Received 28 September 2019; published 3 December 2019. We thank Xiao-Liang Qi for bringing our attention to the evaporation problem of SYK models and many inspiring discussions. We also want to thank Chao-Ming Jian and Shunyu Yao for helpful discussion. We acknowledge support from the Walter Burke Institute for Theoretical Physics at Caltech. | |||||||||
| Group: | Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics | |||||||||
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| Issue or Number: | 24 | |||||||||
| DOI: | 10.1103/physrevb.100.245104 | |||||||||
| Record Number: | CaltechAUTHORS:20191203-133552677 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20191203-133552677 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 100167 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 04 Dec 2019 18:09 | |||||||||
| Last Modified: | 16 Nov 2021 17:52 |
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