Quantum Simulation of Quantum Field Theory with a Trapped Ion System

POSTER

Abstract

We report on the experimental quantum simulation of interacting bosonic and fermionic quantum field modes with a trapped ion system [1]. We consider a basic model of only one fermion and one anti-fermion interacting through a bosonic field mode, which reveals interesting features such as self-interactions, particle creation and annihilation and non-perturbative regimes. We experimentally study these phenomena by manipulating the internal degrees of freedom of a multi-level single $^{171}\mathrm{Yb}^+$ ion and its motional state, based on the proposal of Ref. [1]. Our experimental scheme is a scalable approach and can be extended beyond the limit of classical computation of quantum field theory when more fermions and bosons are included. \\[4pt] [1] J. Casanova, et al., Phys. Rev. Lett, 107, 260501 (2011)

*This work was supported by the National Basic Research Program of China under Grants No. 2011CBA00300 (No. 2011CBA00301), the National Natural Science Foundation of China 11374178.

Authors

  • Xiang Zhang

    • Center for Quantum Information, IIIS, Tsinghua University, Beijing, P. R. China

  • Kuan Zhang

    • Center for Quantum Information, IIIS, Tsinghua University, Beijing, P. R. China

  • Shen Yangchao

    • Center for Quantum Information, IIIS, Tsinghua University, Beijing, P. R. China
    • Center for Quantum Information, IIIS, Tsinghua University

  • Jingning Zhang

    • Center for Quantum Information, IIIS, Tsinghua University, Beijing, P. R. China

  • Man-Hong Yung

    • Center for Quantum Information, IIIS, Tsinghua University, Beijing, P. R. China

  • Kihwan Kim

    • Center for Quantum Information, IIIS, Tsinghua University, Beijing, P. R. China

  • Julen Simon

    • Department of Physical Chemistry, University of the Basque Country UPV/EHU, Bilbao, Spain

  • Lucas Lamata

    • Department of Physical Chemistry, University of the Basque Country UPV/EHU, Bilbao, Spain

  • Enrique Solano

    • Department of Physical Chemistry, University of the Basque Country UPV/EHU, Bilbao, Spain

  • Jorge Casanova

    • Institut f\"{u}r Theoretische Physik, Universit\"{a}t Ulm, Ulm, Germany