Sculpturing squeezed states to get highly excited fock states

Abstract

We study two experimental schemes generating highly excited number states starting from an initial squeezed state. One of the schemes works for stationary fields, the other for traveling ones.

Preparing superposition of squeezed coherent states under thermal reservoir

“…Consider first a field in a coherent state being injected into a high Q cavity, followed by the squeezed operation, as described by S(ξ )|α = |ξ, α . The required dispersive atom-field interaction is given by the effective Hamiltonian H eff = χa † a|e e|, and after a little algebra, we can show that the evolution U ac = exp(−i a † a|e e|), combined with that determined by the squeezing operator S(ξ ) = exp(ξ * a 2 − ξa †2 ), furnishes [17,18] exp(− ia † a|e e|)|e |ξ, α = |e |ξ e −2i , α e −i , (…”

Dynamics of nonclassical correlations via local quantum uncertainty for atom and field interacting into a lossy cavity QED

“…In these contexts, several schemes for generating nonclassical states have been proposed such as circular superposition of coherent [10,11] and squeezed [12,13] states, superposed phase states [14], Fock states [15,16], and other exotic states [17][18][19][20][21][22][23].…”

Generation of arbitrary Fock states via resonant interactions in cavity QED

“…The proposal in [12], based on a (dispersive) quantum nondemolition measurement of the photon number, projects the cavity mode in an unpredictable Fock state. Alternative approaches using superpositions of coherent [13,14,15,16,17,18,19] or squeezed [20,21] states distributed on a circle in the phase space require a lesser number of atoms to generate Fock states ; they also need highly efficient atomic detectors.…”