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SUMMARY:Classical and quantum mechanical interpretations of lossless beam
splitters
DTSTART;VALUE=DATE-TIME:20200926T134000Z
DTEND;VALUE=DATE-TIME:20200926T140000Z
DTSTAMP;VALUE=DATE-TIME:20241108T205342Z
UID:indico-contribution-252@indico.uni.edu.pe
DESCRIPTION:Speakers: Lewis Hicks (Portland State University)\nClassical a
nd quantum mechanical models of a beam splitter are addressed\, including
the cases where there are one or two input source(s) of light resulting in
two consequent output beams. In the classical case we invoke the conserva
tion of energy to derive a $2 \\times 2$ matrix $M_{bs}$ which transforms
the electric fields. In the quantum mechanical case we invoke conservation
of probability to show that the transformation operator $\\widehat{M}_{bs
}$ from the input space to the output space must be unitary. We find that
the matrix representation of $\\widehat{M}_{bs}$ in the occupation-number
space is identical to the classical transformation $M_{bs}$. This formalis
m is applied to describe the inner workings of a Mach-Zedner interferomete
r. Additionally\, we justify the necessity of the quantum mechanical inter
pretation by examining strictly quantum mechanical phenomena such as singl
e-photon interference.\n\nhttps://indico.uni.edu.pe/event/85/contributions
/252/
LOCATION:Lima\, PerĂº
URL:https://indico.uni.edu.pe/event/85/contributions/252/
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