Lectures
- Long Courses
- Connected Components of the Space of Gapped Ground States
- Approach to Equilibrium for translationally invariant lattice fermionic and quantum spin systems
- Renormalization group and quantum transport
- Facets of quantum glasses
- Many-body quantum systems: mean-field regime and beyond
- Quantum Information and Gravity
Long Courses
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Connected Components of the Space of Gapped Ground States
Martin Fraas (UC Davis)
These lectures discuss the classification of gapped quantum phases from an analytic viewpoint. The central question is when two systems can be connected by a continuous path of gapped Hamiltonians, placing the emphasis on the connected components of the space of gapped ground states rather than on topological invariants. I will outline the basic analytic framework for constructing such paths and illustrate it in selected examples. I will also discuss open questions and conjectures.
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Approach to Equilibrium for translationally invariant lattice fermionic and quantum spin systems
Vojkan Jaksic (Milano)
TBA
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Renormalization group and quantum transport
Marcello Porta (SISSA)
TBA
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Facets of quantum glasses
Simone Warzel (TUM)
TBA
Many-body quantum systems: mean-field regime and beyond
Chiara Saffirio (U Basel & Freiburg)
TBA
Quantum Information and Gravity
Stefan Hollands (U Leipzig)
These lectures provide an exposition to a circle of ideas at the interface between high energy physics and gravity that involve directly or indirectly ideas about entropy and quantum information. Emphasis is in particular on the connection to operator algebras. My exposition will be informal for the most part, assuming a knowledge of the standard formalism of quantum theory, basic quantum field theory, and basic notions related to entropy as would be taught in a standard course on statistical physics, but no prior knowledge of operator algebra theory. My aim is to introduce some methods and notions from operator algebras that can be useful also for someone with only a casual interest in the technicalities of the subject. In particular, I want to highlight recent advances related to Bekenstein-type bounds, the quantum null energy condition, and modular theory of von Neumann algebras.
