On Nonlinear Bosonic Coherent States

Details On Nonlinear Bosonic Coherent States On Nonlinear Bosonic Coherent States

2009-12-23

arxiv.org/abs/0912.4582v3

Phys. Lett A 376 (2012) 330

Physics

Quantum Physics

published version

Scientific paper

10.1016/j.physleta.2011.11.035

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.

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