We study the quasiparticle excitation and quench dynamics of the one-dimensional transverse-field Ising model with power-law (1/rα) interactions. We find that long-range interactions give rise to a confining potential, which couples pairs of domain walls (kinks) into bound quasiparticles, analogous to mesonic bound states in high-energy physics. We show that these bound states have dramatic consequences for the non-equilibrium dynamics following a global quantum quench, such as suppressed spreading of quantum information and oscillations of order parameters. The masses of these bound states can be read out from the Fourier spectrum of these oscillating order parameters. We then use a two-kink model to qualitatively explain the phenomenon of long-range-interaction-induced confinement. The masses of the bound states predicted by this model are in good quantitative agreement with exact diagonalization results. Moreover, we illustrate that these bound states lead to weak thermalization of local observables for initial states with energy near the bottom of the many-body energy spectrum. Our work is readily applicable to current trapped-ion experiments.

%B Phys. Rev. Lett. %V 122 %8 04/17/2019 %G eng %U https://arxiv.org/abs/1810.02365 %N 150601 %R https://doi.org/10.1103/PhysRevLett.122.150601 %0 Journal Article %D 2019 %T Opportunities for Nuclear Physics & Quantum Information Science %A I. C. Cloët %A Matthew R. Dietrich %A John Arrington %A Alexei Bazavov %A Michael Bishof %A Adam Freese %A Alexey V. Gorshkov %A Anna Grassellino %A Kawtar Hafidi %A Zubin Jacob %A Michael McGuigan %A Yannick Meurice %A Zein-Eddine Meziani %A Peter Mueller %A Christine Muschik %A James Osborn %A Matthew Otten %A Peter Petreczky %A Tomas Polakovic %A Alan Poon %A Raphael Pooser %A Alessandro Roggero %A Mark Saffman %A Brent VanDevender %A Jiehang Zhang %A Erez Zohar %Xhis whitepaper is an outcome of the workshop Intersections between Nuclear Physics and Quantum Information held at Argonne National Laboratory on 28-30 March 2018 [www.phy.anl.gov/npqi2018/]. The workshop brought together 116 national and international experts in nuclear physics and quantum information science to explore opportunities for the two fields to collaborate on topics of interest to the U.S. Department of Energy (DOE) Office of Science, Office of Nuclear Physics, and more broadly to U.S. society and industry. The workshop consisted of 22 invited and 10 contributed talks, as well as three panel discussion sessions. Topics discussed included quantum computation, quantum simulation, quantum sensing, nuclear physics detectors, nuclear many-body problem, entanglement at collider energies, and lattice gauge theories.

%8 03/13/2019 %G eng %U https://arxiv.org/abs/1903.05453