Sideband CoolingCovers sideband cooling in quantum optics, focusing on motional sidebands, Lamb-Dicke parameter, and cooling cycle.
Harmonic OscillatorExplores the harmonic oscillator, covering energy functions, equations of motion, and operator constructions.
Sideband CoolingExplores sideband cooling in quantum optics, covering motional sidebands and the cooling cycle.
Symmetry and Conservation LawsExplores symmetry, Noether's theorem, and conservation laws in physics, emphasizing the role of time and the Hamiltonian.
Networked Control SystemsExplores networked control systems, covering current injection, Laplacian flow, consensus states, and balanced digraph design.
Introduction to Shortest PathIntroduces the concept of shortest path, discussing weighted paths, Hamiltonian paths, and path optimization algorithms.
Quantum Optics of ResonatorsExplores quantum optics of resonators, covering cavity Hamiltonian, quantum Langevin equations, Purcell effect, and cavity QED.
The Local Hamiltonian ProblemCovers the Local Hamiltonian Problem, focusing on QMA-Complete problems and the complexity of verifying quantum computations.
Quantum Mechanics BasicsCovers the basics of quantum mechanics, focusing on solving the non relativistic Schrodinger equation.