Quantum simulation of driven para-Bose oscillators

Abstract

Quantum mechanics allows paraparticles with mixed Bose-Fermi statistics that have not been experimentally confirmed. We propose a trapped-ion scheme whose effective dynamics are equivalent to a driven para-Bose oscillator of even order. Our mapping suggest highly entangled vibrational and internal ion states as the laboratory equivalent of quantum simulated parabosons. Furthermore, we show the generation and reconstruction of coherent oscillations and para-Bose analogs of Gilmore-Perelomov coherent states from population inversion measurements in the laboratory frame. Our proposal, apart from demonstrating an analog quantum simulator of para-Bose oscillators, provides a quantum state engineering tool that foreshadows the potential use of paraparticle dynamics in the design of quantum information systems.

13 pages, 2 figures

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Cited by in corpus (23)

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• The $Z_2\times Z_2$-graded Lie superalgebras $pso(2n+1|2n)$ and $pso(\infty |\infty )$, and parastatistics Fock spaces
• Inequivalent $Z_2^n$-graded brackets, $n$-bit parastatistics and statistical transmutations of supersymmetric quantum mechanics
• Integrable ${\mathbb{Z}}_2^2$-graded Extensions of the Liouville and Sinh-Gordon Theories
• Optical non-Hermitian para-Fermi oscillators
• Partition functions and thermodynamic properties of paraboson and parafermion systems
• Spectral response of a nonlinear Jaynes-Cummings model
• Para-particle oscillator simulations on a trapped ion quantum computer
• Formation of spectral triplets induced by parity deformation in a quantum dot-cavity system
• Representations of the Lie superalgebra $B(\infty ,\infty )$ and parastatistics Fock spaces
• Lasing in para-Fermi class-B microring resonator arrays
• Affine extensions of ${\mathbb{Z}}_2^2$-graded $osp(1|2)$ and Virasoro algebra
• On the detectability of paraparticles beyond bosons and fermions
• Transmuted spectrum-generating algebras and detectable parastatistics of the Superconformal Quantum Mechanics
• Generalized para-Bose states
• On braid statistics versus parastatistics
• Engineering $\mathrm{SU}(1,1)\otimes \mathrm{SU}(1,1)$ vibrational states
• Bosonization in $R$-paraparticle Luttinger models
• Braided quantum mechanics and Majorana qubits at third root of unity: a color Heisenberg-Lie (super)algebra framework