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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:20260412T132234Z
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\, Perú
URL:https://indico.uni.edu.pe/event/85/contributions/252/
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