Journal article

Quantum Bocce: Magnon-magnon collisions between propagating and bound states in 1D spin chains

Paolo Longo, Andrew D Greentree, Kurt Busch, Jared H Cole

Physics Letters A | ELSEVIER | Published : 2013

Abstract

The dynamics of two magnons in a Heisenberg spin chain under the influence of a non-uniform magnetic field is investigated by means of a numerical wave-function-based approach using a Holstein-Primakoff transformation. The magnetic field is localized in space such that it supports exactly one single-particle bound state. We study the interaction of this bound mode with an incoming spin wave and the interplay between transmittance, energy and momentum matching. We find analytic criteria for maximizing the interconversion between propagating single-magnon modes and true propagating two-magnon states. The manipulation of bound and propagating magnons is an essential step towards quantum magnoni..

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Grants

Awarded by DFG


Awarded by Australian Research Council


Funding Acknowledgements

We thank Melissa Makin for helpful discussions. P.L. acknowledges financial support by the Karlsruhe House of Young Scientists (KHYS) for his stay abroad at the RMIT University, Melbourne. The Ph.D. education of P.L. is embedded in the Karlsruhe School of Optics and Photonics (KSOP). P.L. and K.B. acknowledge financial support by the DFG within the priority programme SPP 1391 "Ultrafast Nanooptics" (grant BU 1107/7-1). A.D.G. acknowledges the Australian Research Council for financial support (project No. DP0880466).