Advanced statistical physics

About

This course covers non-equilibrium statistical processes and the treatment of fluctuation dissipation relations by Einstein, Boltzmann and Kubo. Moreover, the fundamentals of Markov processes, stochastic differential and Fokker Planck equations, mesoscopic master equation, etc will be treated in detail. Prior knowledge of statistical physics is highly recommended but not required.

What you will learn

• Formulate statistical processes mathematically
• Solve the quantum master equation using QuTip in Python
• Apply numerical simulation tools to non-equilibrium systems
• Explore the quantum optical numerical Toolbox (MATLAB)
• Visualize non-equilibrium processes numerically using Jupyter Notebooks
• Elaborate modern examples from Literature of Non-Equilibrium Processes
• Apply EMCEE Python package to Bayesian statistical data analysis

Syllabus

• Lecture 1: Brownian motion and 3 derivations
• Lecture 2: Continuous stochastic process
• Lecture 3: Stochastic differential equations
• Lecture 4: Fluctuation dissipation theorem
• Lecture 5: Fokker Planck equation
• Lecture 6: Lévy flights
• Lecture 7: Master equations
• Lecture 8: The Crook and Jarzynski equality
• Lecture 9+10: Quantum optics and quantum Langevin equation
• Lecture 11+12: Quantum regression theorem

Auto Summary

"Advanced Statistical Physics" is an expert-level course within the Science & Engineering domain, offered by edX. Led by seasoned instructors, it delves into non-equilibrium statistical processes, fluctuation dissipation relations, Markov processes, and more. Spanning 72 hours, this course is ideal for learners with prior statistical physics knowledge, though it is not mandatory. Available through a Starter subscription, it provides in-depth, advanced insights for those eager to deepen their understanding in this field.