Quantum communication via controlled holes in the statistical distribution of excitations in a nanoresonator coupled to a Cooper pair box

Abstract

We propose a scheme to create holes in the statistical distribution of excitations of a nanomechanical resonator. It employs a controllable coupling between this system and a Cooper pair box. The success probability and the fidelity are calculated and compared with those obtained in the atom-field system via distinct schemes. As an application we show how to use the hole-burning scheme to prepare (low excited) Fock states.

Controlling Excitation Inversion of a Cooper Pair Box Interacting with a Nanomechanical Resonator

“…Next, we will extend the previous approach to a more general scenario by substituting Ω → ω(t) = Ω + f (t) and λ 0 → λ(t) = λ 0 [1 + f (t) /Ω] [26,44,45]; in addition we assume the presence of a constant decay rate γ in the CPB; ω 0 is the transition frequency of the CPB and λ 0 stands for the CPB-NR coupling.σ ± andσ z are the CPB transition and excitation inversion operators, respectively; they act on the Hilbert space of atomic states and satisfy the commutation relations [σ + ,σ − ] =σ z and [σ z ,σ ± ] = ±σ ± . As well known, the coupling parameter λ(t) is proportional to ω(t)/V (t), where the time dependent quantization volume V (t) takes the form [46,22,45].…”

Controlling the non-classical properties of a hybrid Cooper pair box system and an intensity dependent nanomechanical resonator

“…Some points considered here are: how dissipation spoils the system operation and in which way the detuning could prevent it, allowing us the control of entanglement features, collapse-revival effects, and others. The results obtained indicate the possibility of some potential applications [37][38][39][40][41][42].…”

Controlling statistical properties of a Cooper pair box interacting with a nanomechanical resonator

“…This system has similarities with others, e.g., the interaction between a Cooper pair box (CPB ) and a nanomechanical resonator (NR). There are many works in the literature dealing with these systems [7,8], but only few of them treat these systems in the situation where one of the frequencies [9,10], or the amplitude [11], varies with time. In the CPB -NR system these variations change the subsystems coupling and modify their dynamic properties, e.g., showing amplification of the excitation transition rate in subsystems [12].…”