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<div><font face="Arial" size="+1" color="#000000">Seminar on<br>
<b>Modern Optics and Spectroscopy<br>
<br>
<br>
Marlan Scully</b><br>
<i>Texas A&M University and Princeton University<br>
<br>
<b>"Single photon Dicke super and sub radiance"<br>
<br>
</b></i>October 17, 2006</font><br>
<font face="Arial" size="+1" color="#000000"></font></div>
<div><font face="Arial" size="+1" color="#000000">12:00 noon - 1:00
p.m.</font></div>
<div><font face="Arial" size="+1" color="#000000">Grier Room
34-401</font></div>
<div><font face="Arial" size="+1" color="#000000"><br>
<br>
<b>Abstract:</b></font><br>
<font face="Arial" size="+1" color="#000000"><b></b></font></div>
<div><font face="Times" size="+1" color="#000000">A collection
of</font><font face="Times New Roman" size="+1" color="#000000"><i>
N</i></font><font face="Times" size="+1" color="#000000"> static atoms
is fixed in a crystal at a low temperature and prepared by a pulse of
incident radiation of wave vector . The</font><font
face="Times New Roman" size="+1" color="#000000"><i>
N</i></font><font face="Times" size="+1" color="#000000"> atoms are
well described by an entangled Dicke-like state, in which each atom
carries a characteristic phase factor</font><font
face="Times New Roman" size="+1" color="#000000"> exp(<i>i
)</i></font><font face="Times" size="+1" color="#000000">,
where is the atomic position in the crystal. It is shown
that a single photon absorbed by the</font><font
face="Times New Roman" size="+1" color="#000000"><i>
N</i></font><font face="Times" size="+1" color="#000000"> atoms will
be followed by spontaneous emission in the same direction.
Furthermore, phase matched emission is found when one photon is
absorbed by</font><font face="Times New Roman" size="+1"
color="#000000"><i> N</i></font><font face="Times" size="+1"
color="#000000"> atoms followed by two-photon down-conversion.<br>
Radiation trapping and Dicke subradiance is also interesting in the
present context. The present scheme shows distinctive differences
between a weak Glauber state (single photon average energy) and a
single photon Fock state</font></div>
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