Lectures related to Quantum Harmonic Oscillator

Quantum Optics I: Quantized Harmonic Oscillator

Covers the quantization of the harmonic oscillator and its implications on the electromagnetic field, including vacuum energy effects.

Jarzynski Equation and Quantum Circuits

Explores the Jarzynski equation and the quantization of electrical circuits in quantum harmonic oscillators.

Harmonic Oscillator

Covers the classical and quantum systems of the harmonic oscillator.

Harmonic Oscillator

Explores the harmonic oscillator, covering energy functions, equations of motion, and operator constructions.

Quantum Optics I: Stern-Gerlach Experiment

Explores the Stern-Gerlach experiment, strong measurements, cavity quantum electrodynamics, and quantum optomechanics.

Quantum-Classical Dynamics Connection

Explores the connections between quantum and classical dynamics, focusing on conservation laws and quantum-classical relationships.

Superconductors: Cooper Pairs and Quantum Mechanics

Explores superconductors, Cooper pairs, quantum mechanics, Lagrangian formalism, and the AC Josephson effect.

Interaction with External Electromagnetic Field

Explores classical and quantum physics concepts related to the interaction with an external electromagnetic field.

Harmonic Oscillators: Definitions and Dynamics

Covers the definitions and dynamics of harmonic oscillators, including ladder operators and coherent states.

Quantum Harmonic Oscillator

Explores the quantum harmonic oscillator, creation and annihilation operators, energy levels, and wave functions.

Harmonic Oscillator: Algebraic Approach

Explores the classical harmonic oscillator and its algebraic approach to studying the system.

Quantum State Spaces: Pure vs Mixed States

Explores quantum state spaces, comparing pure and mixed states, and discusses ensemble decompositions.

Charged Particle in Magnetic Field: Landau Levels

Explores charged particles in a magnetic field, focusing on Landau levels and gauge transformations.

Charged Particle in Magnetic Field

Explores the behavior of a charged particle in a magnetic field, covering classical and quantum aspects, gauge transformations, and spatial translations.

Hybrid superconducting / quantum dot circuits

Covers hybrid cavity quantum electrodynamics with quantum dots and Josephson junction arrays, focusing on spin qubits and superconducting qubits.

Forced Harmonic Oscillator: Resonance Phenomenon

Covers the forced and damped harmonic oscillator, including the harmonic solution and resonance phenomenon.

Reminders on two-level systems

Covers the basics of two-level systems, including states, operators, and the Bloch Sphere.

Canonical Transformations in Analytical Mechanics

Explores canonical transformations, conservation of quantities, and differential equations in analytical mechanics.

Classical and Quantum Mechanics: Foundations and Applications

Explores classical and quantum mechanics, covering observables, momentum, Hamiltonian, and the Schrödinger equation, as well as quantum chemistry and the Schrödinger's cat experiment.

Newton's Laws: Harmonic Oscillator

Covers the application of Newton's laws to harmonic oscillators with damping.