arXiv:2212.03899 · Physical Review X

Observation of Magnon Bound States in the Long-Range, Anisotropic Heisenberg Model

Florian Kranzl, Stefan Birnkammer, Manoj K. Joshi, Alvise Bastianello, R. Blatt, Michael Knap, Christian F. Roos

Published Aug 11, 2023• 35 citations

Abstract

Periodic driving of a chain of 20 trapped ions realizes a model of quantum spins that allows for the first experimental demonstration of bound magnon states in the presence of long-range spin interactions.

DOI: 10.1103/physrevx.13.031017

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arXiv:2212.03899 · Physical Review X

Observation of Magnon Bound States in the Long-Range, Anisotropic Heisenberg Model

Florian Kranzl, Stefan Birnkammer, Manoj K. Joshi, Alvise Bastianello, R. Blatt, Michael Knap, Christian F. Roos

Published Aug 11, 2023• 35 citations

arXiv HTML PDF

Abstract

DOI: 10.1103/physrevx.13.031017

Related papers

Solitons and two-magnon bound states in the anisotropic Heisenberg chain: Dynamic form factor

I.P. Dzyub, Yu.E. Zerov

Physics Letters ADec 1, 19833 citations

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ε_k=u|k|^z

with

z\in(0.52,0.88)

and interact through a contact potential. Nevertheless, whether Efimov universality persists in the presence of experimentally relevant long-range interactions between magnons remains unexplored. In this work, we address this issue by investigating the two- and three-magnon problems with a model interaction potential

V(x)=V_0/(1+|x|^β)

. Our results demonstrate that few-body universality persists for any

β>1

: In the two-magnon sector, the low-energy expansion of the scattering matrix near a two-body resonance agrees with the universal form predicted by contact-interaction theory. The three-magnon bound-state spectrum exhibits Efimov scaling, with a scaling factor consistent with the theory. We further highlight the experimental relevance of our model, which can be readily realized in trapped-ion systems. Our results pave the way for quantum simulations of universal few-body physics beyond the traditional paradigm of nonrelativistic particles.