On Nonlinear Bosonic Coherent States

Abstract

Nonlinear coherent states are an interesting resource for quantum technologies. Here we investigate some critical features of the single-boson nonlinear coherent states, which are theoretically constructed as eigenstates of the annihilation operator and experimentally realized as stationary states of a trapped laser-driven ion. We show that the coherence and the minimum-uncertainty properties of such states are broken for values of the Lamb-Dicke parameter corresponding to the roots of the Laguerre polynomials, which enter their explicit expression. The case of the multiboson nonlinear coherent states is also discussed.

published version

References in corpus (8)

• Multi-particle entanglement of hot trapped ions
• Microwave quantum logic gates for trapped ions
• Quantum simulation of the Klein paradox with trapped ions
• Long-time-scale revivals in ion traps
• Trapped ions in laser fields: A benchmark for deformed quantum oscillators
• Quantum computation with two-level trapped cold ions beyond Lamb-Dicke limit
• Generation of even and odd nonlinear coherent states
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• General approach of weak-to-strong measurement transition for Fock-state-based pointer states