Erwin Schrödinger International Institute for Mathematics and Physics (ESI) Courses

Tensors, State-Sum Topological Field Theories and the Evaluation of Extruded Graphs

Explore three-dimensional topological field theories, tensor network models, and graph evaluations in relation to state-sum constructions and surface defects.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Condensation and Stability of Topological Order in Tensor Networks

Explore quantum topological order stability in tensor networks, focusing on connections to condensation of topological excitations and implications for 3D discrete gauge theories.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

Gauged Gaussian Fermionic PEPS: A Tool for Studying Lattice Gauge Theories

Explore lattice gauge theories using Gauged Gaussian Fermionic PEPS, a tensor network method for efficient numerical computations without sign problems in multiple space dimensions.

• YouTube
• 42 minutes
• Self-Paced
• Free Video

Thermalization of Quantum Memories - A Tensor Networks Approach

Explore thermalization of quantum memories using tensor networks, focusing on 2D Kitaev's quantum double models and their Gibbs state representation as PEPS.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video

Ogata's Index Construction for SPT Phases in Quantum Spin Chains

Explore Ogata's construction of invariants for SPT phases in quantum spin chains, connecting it to MPS ground states and previous research.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

Defects and Duality on the Lattice - Tensor Networks in Lattice Models

Explore lattice models, tensor networks, and topological defects in quantum systems. Gain insights into symmetries, duality, and exact computations in boundary CFT and critical phenomena.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

An Effective Field Theory for Holographic Random Matchgate Tensor Networks

Explore effective field theory for random matchgate tensor networks, analyzing phase transitions and topological connections in 2D systems with open physical boundaries.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

Ordering of Diffusing Spins in Brownian Spin Models

Explore phase transitions in Brownian spin models, examining continuous transitions in Potts models and BKT transitions in clock models. Analyze numerical simulations and discuss extensions to active particles.

• YouTube
• 45 minutes
• Self-Paced
• Free Video

The Ising Model and Its Quantum Interface Dynamics - A Centennial Perspective

Explore quantum Ising model's interface dynamics, examining domain evolution, quantum nucleation, and false-vacuum decay. Discover connections to mathematics and classical statistical physics.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Anomalous Transport in Nonlinear Lattices: Quasi-Integrability and Long-Range Interactions

Explore anomalous heat diffusion in low-dimensional classical anharmonic lattices, focusing on perturbed integrable systems and long-range forces in nonequilibrium steady states.

• YouTube
• 42 minutes
• Self-Paced
• Free Video

Coarsening, Condensates and Extremes in Aggregation-Fragmentation Models

Explore coarsening in aggregation-fragmentation models, focusing on condensate formation, extreme value statistics, and scaling behavior in zero range and conserved mass aggregation systems.

• YouTube
• 40 minutes
• Self-Paced
• Free Video

Quantum Bounds and Fluctuation-Dissipation Relation

Explore quantum bounds for transport coefficients and their connection to the Fluctuation-Dissipation relation, with insights from high-energy physics and String Theory.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

Entropy Growth During Free Expansion of an Ideal Gas

Explore entropy growth in free expansion of ideal gas, examining macrostates, irreversibility, and factors influencing entropy increase in non-equilibrium systems.

• YouTube
• 44 minutes
• Self-Paced
• Free Video

Stochastic Resetting: Overview and Recent Developments

Explore stochastic resetting in dynamical processes, its impact on system behavior, and applications in chemical reactions and search processes.

• YouTube
• 44 minutes
• Self-Paced
• Free Video

Inspection Paradox Approach to Stochastic Resetting

Explore the inspection paradox and its application to stochastic resetting in random processes, from diffusion to animal foraging, using elementary mathematical tools.

• YouTube
• 46 minutes
• Self-Paced
• Free Video