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Propagation of fluctuations in the quantum Ising model

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posted on 2017-03-30, 07:56 authored by P. Navez, G.P. Tsironis, Alexandre ZagoskinAlexandre Zagoskin
We investigate entanglement dynamics and correlations in the quantum Ising model in arbitrary dimensions using a large-coordination-number expansion. We start from the pure paramagnetic regime obtained through zero spin-spin coupling and subsequently turn on the interspin interaction in a time-dependent fashion. We investigate analytically and compare results for both the slow adiabatic onset of the interactions and the fast instantaneous switching. We find that in the latter case of an initial excitation mode a quantum correlation wave spreads through the system, propagating with twice the group velocity of the linearized equilibrium modes. This wave establishes the spatiotemporal regime of entangled quantum properties of the system for time scales shorter than the decoherence time and thus provides an indicator for the "quantumness" of the physical system that the specific system models.

Funding

We acknowledge partial support from the European Union’s Seventh Framework Programme (FP7-REGPOT-2012-2013- 1) under Grant Agreement No. 316165, by EPSRC Grant No. EP/M006581/1, and by the Ministry of Education and Science of the Russian Federation in the framework of Increase Competitiveness Program of NUST MISiS (Grants No. K2- 2014-015 and No. K2-2015-007). Helpful discussions with J. Betouras, M. Qureshi, M. Lukovic, F. Queisser, K. Krutitsky, ´ and R. Schutzhold are also gratefully acknowledged.

History

School

  • Science

Department

  • Physics

Published in

Physical Review B - Condensed Matter and Materials Physics

Volume

95

Issue

6

Citation

NAVEZ, P., TSIRONIS, G.P. and ZAGOSKIN, A.M., 2017. Propagation of fluctuations in the quantum Ising model. Physical Review B, 95 (6), 7pp.

Publisher

© American Physical Society

Version

  • AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Acceptance date

2017-01-19

Publication date

2017-02-08

Copyright date

2017

Notes

This article was published in the journal Physical Review B [© American Physical Society] and the definitive version is available at: https://doi.org/10.1103/PhysRevB.95.064304

ISSN

1098-0121

eISSN

1550-235X

Language

  • en

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