Quantum electrodynamics and quantum optics

PHYS-453

Effect of gravitational wave in an interferometer ...

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Description

  1. Effect of gravitational wave in an interferometer with moving mirrors: does the mirror feel a force, or it's simple displacement? In the setting of the paper wg>>wm, gamma, is it valid to treat it as a force on a free-mass?
  2. What is the standard quantum limit (SQL) of a free-mass interferometer? What's the effect when the interferometer is treated as a damped quantum harmonic oscillator?
  3. Input-output relation & equations of a single arm. Field relation at the beam-splitter where light from two arms are combined. Why "two" "very long" arms?
  4. What's the phase-relation of gravitational "force" at two arms?
  5. Optical phase relation between the two arms, which optical quadratures are detected from the two arms?
  6. What's the expression for the "signal", and the expression for the "noise"? What are the contributions of the "noise"?
  7. What's the trade-off that leads to an "optimal" optical power? What's the minimally detectable gravitational displacement? What if the harmonic oscillator is in a thermal state?