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.
The Harmonic Oscillator Potential Perturbed by a Combination of Linear and Non-linear Dirac Delta Interactions with Application to Bose-Einstein Condensation
Functional Renormalization analysis of Bose-Einstien Condensation through complex interaction in Harmonic Oscillator; Can Bendixson criteria be extended to complex time?
受在离子阱中模拟准玻色振荡器的建议的启发[C。Huerta Alderete和B. M. Rodríguez-Lara，Phys. Rev. A 95，013820（2017）]，我们引入了para-Bose Hilbert空间的过完备非正交基。跨越这些基地的状态，可以通过时间演化的捕获离子模拟实验实现。的para-Bose状态显示非经典和半经典统计的Fock态分布，不对称的场求积方差，并不最小化的不确定性关系的场求积。这些属性解析控制的准玻色顺序和演化时间，这两个参数可能是可行的，在捕获离子量子模拟微调。
Phase transitions from Heating to non-heating in SU(1, 1) quantum dynamics: applications to Bose-Einstein condensates and periodically driven coupled oscillators
