Transport in Quantum Spin Chains - Part I

Dive into the intricacies of transport phenomena in quantum spin chains with this comprehensive lecture from the BSS Physics School. Explore key concepts such as conserved quantities, thermodynamic limits, and energy current operators. Gain insights into the distinctions between heat and energy transport, and understand the fundamental Laws of Thermodynamics as they apply to quantum systems. Examine the role of reduced density operators in transport processes and analyze autocorrelation functions in the context of linear response theory. This in-depth presentation provides a solid foundation for understanding transport mechanisms in quantum spin chains, essential for advanced studies in quantum physics and condensed matter theory.

Intro
Lecture plan
Why study transport
Conserved quantities
Thermodynamic limit
Energy current operator
Heat transport vs energy
Law of Thermodynamics
Reduced Density Operator
Transport
Simple example
Autocorrelation function
Linear response