Quantum Nondemolition State Measurement via Atomic Scattering in Bragg Regime

Abstract

We suggest a quantum nondemolition scheme to measure a quantized cavity field state using scattering of atoms in general Bragg regime. Our work extends the QND measurement of a cavity field from Fock state, based on first order Bragg deflection [9], to any quantum state based on Bragg deflection of arbitrary order. In addition a set of experimental parameters is provided to perform the experiment within the frame work of the presently available technology.

Engineering entanglement between external degrees of freedom of atoms via Bragg scattering

“…We solve the set of l 0 /2 coupled equations, from l = 0 to l = −l 0 , adiabatically and obtain [23] two coupled equations as…”

“…Also, conservation of energy provides us l = 0 and l = −l 0 , which leads to two possible directions of propagation for the deflected atom, one with momentum P (j) +l 0 and the other with momentum P (j) −l 0 , respectively. We solve the set of l 0 /2 coupled equations, from l = 0 to l = −l 0 , adiabatically and obtain [23] two coupled equations as i ∂C…”