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PHY2203H F SPECIALIZED
Quantum Optics I

Official description

Topics:

PHY2203 explores atom-photon interactions on a semi-classical treatment. How does a quantum system respond to a classical drive field? We begin by discussing why an atom driven by an optical field reduces to a dipole interaction Hamiltonian. The atom-photon problem can then be mapped onto the problem of a spin one-half electron in a magnetic field, since both are driven two-level quantum systems. We develop the Bloch equations, Rabi oscillations, and magnetic resonance. Returning to the optical regime, damping is necessary, and thus a treatment using density matrices. Dynamics of the density operator are described by the Optical Bloch Equations, with which one can understand a wide range of current experiments in AMO (atomic, molecular, and optical) physics and solid-state physics. These quantum dynamics are contrasted to classical (Lorentz-model) dynamics, such as quantum saturation. In the context of a diagonalized atom-photon Hamiltonian, we discuss inversion, dressed states and light shifts. Applications of this foundational material include electromagnetically induced transparency, slow light, dark states, and laser cooling.

Background:

The material presented will assume mastery of quantum mechanics at the advanced undergraduate level -- including time-dependent perturbation theory, density matrices, central potential problems, operator treatment of the simple harmonic oscillator, and additional of angular momenta. Advanced undergraduate electricity and magnetism is also important -- solutions to the wave equation, polarization, and radiation. We will refer to topics in statistical mechanics that include the Bose-Einstein distribution, equipartition, black-body radiation, and the Maxwell-Boltzmann distribution.

Prerequisite
PHY456 and PHY350, or equivalent
Textbook
                            ['Grynberg, Aspect, and Fabre, “Introduction to Quantum Optics: From the Semi-Classical Approach to Quantized Light” (Cambridge, 2010']
                        
course title
PHY2203H F SPECIALIZED
session
fall
group
specialized course
time and location
Time: Tuesday at 12noon-1pm and Wednesday at 3pm-5pm, MP606
Course URL
https://q.utoronto.ca/co…
instructor

Delivery Methods

In Person

A course is considered In Person if it requires attendance at a specific location and time for some or all course activities.*.

* Subject to adjustments imposed by public health requirements for physical distancing.

Online - Synchronous
A course is considered Online Synchronous if online attendance is expected at a specific time for some or all course activities, and attendance at a specific location is not expected for any activities or exams.
Asynchronous
A course is considered Asynchronous if it has no requirement for attendance at a specific time or location for any activities or exams.