The derivation of the master equation
The derivation of the Optical Bloch equation
Solutions of the Bloch equations
The Monte Carlo wavefunction approach
Unraveling open system quantum dynamics
This physics course presents a general derivation of the master equation and the optical Bloch equations. You will learn about various solutions of the optical Bloch equations, and you will discuss the quantum Monte Carlo wavefunction approach. The course will conclude with a discussion of unraveling open system quantum dynamics.
This course is a part of a series of courses to introduce concepts and current frontiers of atomic physics, and to prepare you for cutting-edge research:
8.422.1x: Quantum states and dynamics of photons
8.422.2x: Atom-photon interactions
8.422.3x: Optical Bloch equations and open system dynamics
8.422.4x: Light forces and laser cooling
8.422.5x: Ultracold atoms and ions for many-body physics and quantum information science
At MIT, the content of the five courses makes the second of a two-semester sequence (8.421 and 8.422) for graduate students interested in Atomic, Molecular, and Optical Physics. This sequence is required for Ph.D. students doing research in this field.
Completing the series allows you to pursue advanced study and research in cold atoms, as well as specialized topics in condensed matter physics. In these five courses you will learn about the following topics:
quantum states and dynamics of photons
photon-atom interactions: basics and semiclassical approximations
open system dynamics
optical Bloch equations
applications and limits of the optical Bloch equations
Bose-Einstein condensationquantum algorithms and protocols
ion traps and magnetic traps.
A two-semester sequence in Quantum Mechanics at the level of MIT 8.05 and 8.06