1603.04465v3.pdf (437.75 kB)
Propagation of fluctuations in the quantum Ising model
journal contribution
posted on 2017-03-30, 07:56 authored by P. Navez, G.P. Tsironis, Alexandre ZagoskinAlexandre ZagoskinWe 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 PhysicsVolume
95Issue
6Citation
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 SocietyVersion
- 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
2017-01-19Publication date
2017-02-08Copyright date
2017Notes
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.95.064304ISSN
1098-0121eISSN
1550-235XPublisher version
Language
- en