Simulating para-Fermi oscillators

Abstract

Quantum mechanics allows for a consistent formulation of particles that are neither bosons nor fermions. These para-particles are rather indiscernible in nature. Recently, we showed that strong coupling between a qubit and two field modes is required to simulate even order para-Bose oscillators. Here, we show that finite-dimensional representations of even order para-Fermi oscillators are feasible of quantum simulation under weak coupling. This opens the door to their potential implementation in different contemporaneous quantum electrodynamics platforms. We emphasize the intrinsic value of para-particles for the quantum state engineering of bichromatic field modes. In particular, we demonstrate that binomial two field mode states result from the evolution of para-Fermi vacuum states in the quantum simulation of these oscillators.

arXiv comment12 pages, 7 figures

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• Entanglement transfer in a noisy cavity network with parity-deformed radiation fields
• Squeezed displaced entangled states in the quantum Rabi model
• The $Z_2\times Z_2$-graded Lie superalgebras $pso(2n+1|2n)$ and $pso(\infty |\infty )$, and parastatistics Fock spaces
• Optical non-Hermitian para-Fermi oscillators
• Spectral response of a nonlinear Jaynes-Cummings model
• Para-particle oscillator simulations on a trapped ion quantum computer
• Representations of the Lie superalgebra $B(\infty ,\infty )$ and parastatistics Fock spaces
• Formation of spectral triplets induced by parity deformation in a quantum dot-cavity system
• Lasing in para-Fermi class-B microring resonator arrays
• Tripartite multiphoton Jaynes-Cummings model: Analytical solution and Wigner nonclassicalities
• Engineering $\mathrm{SU}(1,1)\otimes \mathrm{SU}(1,1)$ vibrational states
• Bosonization in $R$-paraparticle Luttinger models