van Nieuwenburg, Evert and Bairey, Eyal and Refael, Gil (2018) Learning phase transitions from dynamics. Physical Review B, 98 (6). Art. No. 060301. ISSN 2469-9950. doi:10.1103/PhysRevB.98.060301. https://resolver.caltech.edu/CaltechAUTHORS:20180723-093013664
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PDF (contains analysis of the training of the network. We perform network calibration, check for generalization, check the dependence of the critical disorder on the training regimes and discuss the imbalance as a comparison. We also consider the learned...)
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Abstract
We propose the use of recurrent neural networks for classifying phases of matter based on the dynamics of experimentally accessible observables. We demonstrate this approach by training recurrent networks on the magnetization traces of two distinct models of one-dimensional disordered and interacting spin chains. The obtained phase diagram for a well-studied model of the many-body localization transition shows excellent agreement with previously known results obtained from time-independent entanglement spectra. For a periodically driven model featuring an inherently dynamical time-crystalline phase, the phase diagram that our network traces coincides with an order parameter for its expected phases.
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| Additional Information: | © 2018 American Physical Society. Received 23 December 2017; revised manuscript received 10 April 2018; published 9 August 2018. E.v.N. gratefully acknowledges financial support from the Swiss National Science Foundation through Grant No. P2EZP2-172185. E.v.N. also acknowledges fruitful discussions with Manuel Endres. E.B. is grateful to Netanel Lindner for his support and acknowledges financial support from the European Research Council (ERC) under the European Union Horizon 2020 Research and Innovation Programme (Grant Agreement No. 639172). G.R. is grateful to the the NSF for funding through Grant No. DMR-1040435 as well as the Packard Foundation. We are grateful for support from the IQIM, an NSF physics frontier center funded in part by the Moore Foundation. The authors used the tensorflow [69] backend for keras [70]. E.v.N. and E.B. contributed equally to this work. | ||||||||||||||
| Group: | Institute for Quantum Information and Matter | ||||||||||||||
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| Issue or Number: | 6 | ||||||||||||||
| DOI: | 10.1103/PhysRevB.98.060301 | ||||||||||||||
| Record Number: | CaltechAUTHORS:20180723-093013664 | ||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180723-093013664 | ||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||
| ID Code: | 88118 | ||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||||
| Deposited On: | 23 Jul 2018 16:39 | ||||||||||||||
| Last Modified: | 16 Nov 2021 00:24 |
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