Realization of para-particle oscillators in trapped ions

ORAL

Abstract



A para-particle oscillator is a parity-deformed harmonic oscillator characterized by an order parameter. This generalizes the standard Fermi-Dirac and Bose-Einstein statistics associated with fermions and bosons to para-particles. These are captivating not only because of the underlying algebraic structures but also their dynamical properties. Even though these particles are unlikely to be present in nature, a quantum system involving a spin-½ degree of freedom coupled to two bosonic modes yields the Hamiltonian describing para-bosons and para-fermions. In this work, we report the analog quantum simulation of para-particle oscillators with a single trapped ion by tailoring the native couplings to two orthogonal motional modes in the trap. Our system reproduces the well-defined statistics for para-bosons and para-fermions of even order. These results represent the first experimental realization of a quantum simulation of the para-particle dynamics in any physical system and demonstrate the full controllability of para-particle oscillators using a trapped-ion experiment.

*This work is supported by the NSF via the PFC@JQI (PHY-1430094) and the Maryland-ARL Quantum Partnership (W911NF1920181).

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Publication: Huerta Alderete, C. and Rodríguez-Lara, B. M. Quantum simulation of driven para-Bose oscillators. Phys. Rev. A 95, 013820 (2017).

Huerta Alderete, C., Rodríguez-Lara, B.M. Simulating para-Fermi oscillators. Sci Rep 8, 11572 (2018).

Presenters

  • Cinthia Huerta Alderete

    • Joint Quantum Institute, University of Maryland

Authors

  • Cinthia Huerta Alderete

    • Joint Quantum Institute, University of Maryland

  • Alaina Green

    • Joint Quantum Institute and Department of Physics, University of Maryland
    • JQI
    • University of Maryland, College Park

  • Nhung Nguyen

    • University of Maryland, College Park

  • Yingyue Zhu

    • JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742
    • University of Maryland, College Park

  • Blas Manuel Rodríguez Lara

    • Escuela de Ingeniería y Ciencias, Tecnológico de Monterrey

  • Norbert M Linke

    • JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742
    • University of Maryland, College Park
    • Joint Quantum Institute and Department of Physics, University of Maryland, College Park 20740, USA