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  Ultra‐Fast Control of Magnetic Relaxation in a Periodically Driven Hubbard Model

Mendoza‐Arenas, J. J., Gómez‐Ruiz, F. J., Eckstein, M., Jaksch, D., & Clark, S. R. (2017). Ultra‐Fast Control of Magnetic Relaxation in a Periodically Driven Hubbard Model. Annalen der Physik, 529(10): 1700024. doi:10.1002/andp.201700024.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0001-A4AD-3 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-4808-5
Genre: Journal Article

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https://dx.doi.org/10.1002/andp.201700024 (Publisher version)
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 Creators:
Mendoza‐Arenas, J. J.1, 2, Author
Gómez‐Ruiz, F. J.1, Author
Eckstein, M.3, Author              
Jaksch, D.2, Author
Clark, S. R.4, Author              
Affiliations:
1Departamento de Fìsica, Universidad de los Andes, ou_persistent22              
2Clarendon Laboratory, University of Oxford, ou_persistent22              
3Theory of Correlated Systems out of Equilibrium, Condensed Matter Dynamics Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_1938296              
4Quantum Condensed Matter Dynamics, Condensed Matter Dynamics Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_1938293              

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Free keywords: Ultrafast control; antiferromagnetism; Floquet theory; non-equilibrium dynamical mean-field theory
 Abstract: Motivated by cold atom and ultra‐fast pump‐probe experiments we study the melting of long‐range antiferromagnetic order of a perfect Néel state in a periodically driven repulsive Hubbard model. The dynamics is calculated for a Bethe lattice in infinite dimensions with non‐equilibrium dynamical mean‐field theory. In the absence of driving melting proceeds differently depending on the quench of the interactions to hopping ratio urn:x-wiley:00033804:media:andp201700024:andp201700024-math-0001 from the atomic limit. For urn:x-wiley:00033804:media:andp201700024:andp201700024-math-0002 decay occurs due to mobile charge‐excitations transferring energy to the spin sector, while for urn:x-wiley:00033804:media:andp201700024:andp201700024-math-0003 it is governed by the dynamics of residual quasi‐particles. Here we explore the rich effects that strong periodic driving has on this relaxation process spanning three frequency ω regimes: (i) high‐frequency urn:x-wiley:00033804:media:andp201700024:andp201700024-math-0004, (ii) resonant urn:x-wiley:00033804:media:andp201700024:andp201700024-math-0005 with integer l, and (iii) in‐gap urn:x-wiley:00033804:media:andp201700024:andp201700024-math-0006 away from resonance. In case (i) we can quickly switch the decay from quasi‐particle to charge‐excitation mechanism through the suppression of ν0. For (ii) the interaction can be engineered, even allowing an effective urn:x-wiley:00033804:media:andp201700024:andp201700024-math-0007 regime to be reached, giving the reverse switch from a charge‐excitation to quasi‐particle decay mechanism. For (iii) the exchange interaction can be controlled with little effect on the decay. By combining these regimes we show how periodic driving could be a potential pathway for controlling magnetism in antiferromagnetic materials. Finally, our numerical results demonstrate the accuracy and applicability of matrix product state techniques to the Hamiltonian DMFT impurity problem subjected to strong periodic driving.

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Language(s): eng - English
 Dates: 2017-05-222017-01-132017-07-182017-10
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1002/andp.201700024
arXiv: 1701.04123
 Degree: -

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Project name : The authors would like to acknowledge the use of the University of Oxford Advanced Research Computing (ARC) facility in carrying out this work. https://doi.org/10.5281/zenodo.22558. This research is partially funded by the European Research Council under the European Union’s Sev- enth Framework Programme (FP7/2007-2013)/ERC Grant Agreement no. 319286 Q-MAC. This work was also supported by the EPSRC National Quantum Technology Hub in Networked Quantum Information Process- ing (NQIT) EP/M013243/1, and the EPSRC projects EP/P009565/1 and EP/K038311/1. J.J.M.A. and F.J.G.R. acknowledge financial support from Facultad de Ciencias at UniAndes-2015 project ”Quantum control of non- equilibrium hybrid systems-Part II”, and F. Rodr ´ ıguez, L. Quiroga and J. Coulthard for interesting discussions. J.J.M.A. also acknowledges S. Al- Assam and J. Kreula for their help during the development of the DMFT code.
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Title: Annalen der Physik
  Other : Ann. Phys.
Source Genre: Journal
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Publ. Info: Weinheim : Wiley-VCH
Pages: - Volume / Issue: 529 (10) Sequence Number: 1700024 Start / End Page: - Identifier: Other: 0003-3804
CoNE: /journals/resource/954925379961