Quantum electrodynamics and quantum optics
PHYS-453
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- Coherent states, Quantization of a Harmonic Oscillator
- Quantization of the electromagnetic field, quantization of electrical circuits
- Coherent states
- Fock states
- Squeezed states
- Measuring the Quantum States of Light:
- Homodyne detection
- Measurements, photon counting
- Representations (Q-function, Wigner function, P-representation)
- Photon correlations
- HBT effect, g(2) measurements
- Strong coupling cavity QED.
- Light matter interaction, dipole approximation
- Quantum description of a laser
- Cavity QED Hamiltonian
- Dispersive limit of cQED
- Purcell effect
- Applications of Cavity QED:
- Generation of arbitrary quantum state of a Harmonic oscillator
- Quantum Metrology
- Dispersive regime of cavity QED, QND measurements of Two level systems (qubits)
- Quantum Nondemolition measurements (QND)
- Quantum backaction in linear measurements
- The standard quantum limit (SQL)
- Backaction evading measurements (BAE)
- Quantum theory of an amplifier
- QLE approach to negative temperature
- Noise temperature and added photons
- Phase sensitive and phase insensitive amplification processes
- Degenerate OPO and Squeezed light generation.
- Parametric amplification and squeezing using second harmonic generation
- Stochastic Schroedinger Equation and Measurement theory
- Quantum Jumps, quantum trajectories
- Other topics covered: Recent developments in quantum optics (quantum metrology, quantum communication, etc.), and use of Python Quantum Optical Toolbox to simulate open quantum systems