High NOON states in trapped ions

Abstract

We show how NOON states may be generated in ion traps. We use the individual interaction of light with each of two vibrational modes of the ion to entangle them. This allows us to generate NOON states with N = 8.

Conditionally generating a mesoscopic superposition of N00N states

“…in optomechanics and in quantum information science. The results attained may also be applied to other bosonic systems [7,8].…”

Generation of NOON States in Waveguide Arrays

“…that obviously is an entangled state, but can be obtained experimentally using the Hong-Ou-Mandel effect [25,26], which allows, in a deterministic way, to produce two photons in one channel. We now apply the corresponding evolution operator (16) to the initial state (19) and we obtain the evolved wave function at time t as |ψ (t) = C 003 (|003 + |030 )…”

“…The horizontal axis is time and the vertical axis is the absolute value of the wave function coefficients (21). Figure 2: We plot the absolute value of the ten coefficients of the wave function as a function of time for the initial state (19) and parameters g = 0.01 and λ = 0.…”

“…that represents a superposition of N particles in mode a with zero particles in mode b and zero particles in mode a with N particles in mode b. Most schemes to produce NOON states are in the optical regime [13]; however, in the case of cavity fields, it has been shown that NOON states with N = 4 may be generated [17], while in ion-laser interactions [18] NOON states may be generated for larger N 's [19]. Such nonclassical states have also been generated in acoustic wave resonators with high fidelities [20].…”

“…Time evolution of the absolute value of the four coefficients of the collapsed wave function when a conditional measurement have been made obtaining no photons in the field 0 for initial state(19) and parameters g = 0.01 and λ = 0.…”