Sumários
Squeezed states of light and their use in GWO.
2 Junho 2025, 14:00 • José Manuel Rebordão
Seting
up correlation between quadratures: Kerr, (SHG)
SPDC:
defenerate, colinear, classical Hamiltonian, quantum Hamiltonian, emergence of
the squeezed operator.
LIGO
noise types, review.
Quantum
noise, an inevitable input to the Michelson that can be shaped by squeezing.
Squeezing
sources. Squeezing subsystem. Frequency dependent squeezing.
END
OF COURSE
Overview
of subsystems, technologies, devices, architectures, … implemented in JWST and
in LIGO’s very much used in scientific and commercial optical systems and
products.
Overview
of key concepts of nonlinear optics and quantum optics, fundamental to
understand many of GWO technologies, limitations and performances.
Quantum optics -States of light
30 Maio 2025, 09:00 • José Manuel Rebordão
EM-field
quantization, quadratures and ladder operators. Reference to phase in QO.
Overview
of quantum optical states.
Fock
states: definition, properties.
Coherent
states: definition, displacement operator, properties.
Uncertainty
relation for quadrature fluctuations. Coherence state as the minimum
uncertainty, defining the quantum noise limit (NQL).
Tilings
of the phase space: examples, communication channels, the position of the
vacuum state.
Probability
distributions in QO, with main reference to the Q-function, and its behaviour
for Fock and coherent states. Brief reference to Wigner and P representations.
Squeezing:
Squeezed states, squeezing operator; variances of quadratures and probability distributions
of the number of photons for squeezed states, including vacuum. Experimental
features meaning that squeezed states are actually being used in a system.
NEXT
CLASS
Squeezing:
sources and noise reduction in GWO
Michelson Interferometry (class 3 of 3)
28 Maio 2025, 17:00 • Bachar Wehbe
Setup
of a Michelson Interferometer (MI), using amplitude splitting, and analysis of
the generated interferograms in several configurations.
Usage of cube beam splitters and polarisation optics to control laser beam
polarization.
Assessment
of how the MI can be used to measure relative displacements of one of the
mirrors, using a piezo electric stage actuator to move one of the mirrors.
Analysis
of several polarization optical elements (polarizers, polarizing beam splitters
and wave plates) using a polarimeter (an instruments that measure the
polarisation state of light).
Acquisition of interferograms using a CMOS 2D camera for post processing.
Michelson interferometry (class 3 of 3)
28 Maio 2025, 15:00 • Alexandre Pereira Cabral
Setup
of a Michelson Interferometer (MI), using amplitude splitting, and analysis of
the generated interferograms in several configurations.
Usage of cube beam splitters and polarisation optics to control laser beam
polarization.
Assessment of how the MI can be used to measure relative displacements of one of the mirrors, using a piezo electric stage actuator to move one of the mirrors.
Analysis of several polarization optical elements (polarizers, polarizing beam splitters and wave plates) using a polarimeter (an instruments that measure the polarisation state of light).
Assembly of a homodyne quadrature detection configuration to achieve higher resolution compared to the previous simple homodyne detection.Acquisition of interferograms using a CMOS 2D camera for post processing.