Conditional displacement operator for traveling fields

• Published in: Optics communications Vol. 281; no. 10; pp. 2864 - 2867
• Main Authors: Souza, Simone, Avelar, A.T., Malbouisson, J.M.C., Baseia, B.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 15-05-2008; Elsevier Science
• Subjects: Classical and quantum physics: mechanics and fields; Exact sciences and technology; Foundations, theory of measurement, miscellaneous theories (including aharonov-bohm effect, bell inequalities, berry's phase); Fundamental areas of phenomenology (including applications); Nonclassical field states; squeezed, antibunched and sub-poissonian states; operational definitions of the phase of the field; phase measurements; Optics; Physics; Quantum description of interaction of light and matter; related experiments; Quantum mechanics; Quantum optics; 42.50.Dv; 42.50.Ct; 03.65.Wj; Kerr effect; Wigner function; Measuring methods; Quantum optics; Radiation matter interactions; Beam separators; Excited states; Coherent states
• ISSN: 0030-4018; 1873-0310
• DOI: 10.1016/j.optcom.2008.01.056

We show that the conditional displacement operator
U
^
CD
=
exp
[
b
ˆ
†
b
ˆ
(
β
a
ˆ
†
-
β
∗
a
ˆ
)
]
acting upon arbitrary states of traveling waves can be well approximated by the action of a Kerr-medium placed between two beam splitters whose respective second ports are fed by highly excited coherent states. The scheme is deterministic, since it does not employ any detection event. Applications for generation of nonclassical states and measurement of Wigner function of arbitrary states are also considered.