Quantum optics
The course will introduce a number of concepts and techniques in current quantum physics experiments : entanglement, teleportation, Wigner function, non-gaussian quantum states, decoherence, squeezing...
These topics will be illustrated with very different experimental platforms : single-photon sources, microwave resonators, high-finesse optical cavities, nonlinear crystals, trapped atoms or ions, superconducting qubits, gravitational-wave interferometers...
1. Light and the Polarization degree of freedom
Bell Inequality
Q Cryptography
Q teleportation
2. Quantization of the electromagnetic field
Quantum states : Fock states, coherent states, Squeezed states
Quasiprobability distributions
The beamsplitter in quantum optics
3. Quantum optics of a single mode
Q Rabi oscillations, connection to semi-classical treatment
QND measurement of the photon number
Measuring the decoherence of a mesoscopic non-gaussian quantum state
4. Quantum optics of the mode continuum: the quantum vacuum
Spontaneous emission of an excited state
Inhibition of spontaneous emission
The Casimir force
Hybrid Light−Matter States in chemistry
5. The quantum noise spectrum
Different models for quantum light
Modulation and sidebands in signal processing
The sideband quantum model
Detecting quantum noise: the homodyne detection
6. Quantum noise in displacement sensing
Quantum Phase noise and Quantum Radiation Pressure Noise
The Standard Quantum Limit
Case study: gravitational-wave interferometers
Beyond Quantum Limit with Squeezed Light
Course validation by writing a short report on a related research article
Introductory Quantum Mechanics course, similar to the L3 course at ENS,
including:
General formalism
2-level systems
Quantum harmonic oscillators in the a/a+ formalism
