Shortcut to adiabaticity in the Lipkin-Meshkov-Glick model

Physical Review Letters
Steve CampbellRosario Fazio

Abstract

We study transitionless quantum driving in an infinite-range many-body system described by the Lipkin-Meshkov-Glick model. Despite the correlation length being always infinite the closing of the gap at the critical point makes the driving Hamiltonian of increasing complexity also in this case. To this aim we develop a hybrid strategy combining a shortcut to adiabaticity and optimal control that allows us to achieve remarkably good performance in suppressing the defect production across the phase transition.

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Citations

Aug 31, 2016·Physical Review. E·Yuanjian ZhengDario Poletti
Mar 25, 2017·Physical Review Letters·Steve Campbell, Sebastian Deffner
Apr 2, 2019·Physical Review Letters·F J Gómez-Ruiz, A Del Campo
Jul 26, 2015·Physical Review Letters·D J Papoular, S Stringari
Sep 24, 2016·Optics Express·Jie SongYong-Yuan Jiang
May 4, 2017·Proceedings of the National Academy of Sciences of the United States of America·Dries Sels, Anatoli Polkovnikov
Jan 20, 2018·Physical Review. E·Ranjan ModakMarcos Rigol
Apr 20, 2019·Physical Review. E·Barış Çakmak, Özgür E Müstecaplıoğlu
Apr 4, 2020·Physical Review Letters·Thomás FogartySteve Campbell
May 23, 2020·Physical Review Letters·Obinna AbahMauro Paternostro
Nov 14, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Thiago V AcconciaSebastian Deffner
Mar 25, 2017·Physical Review Letters·Ken FunoAdolfo Del Campo
Jan 20, 2018·Physical Review. E·Wassilij KopylovTobias Brandes
Apr 3, 2019·Physical Review. E·Obinna Abah, Mauro Paternostro
Jan 30, 2021·Physical Review Letters·Pierpaolo SgroiMauro Paternostro
Aug 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yuanjian Zheng, Dario Poletti

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