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

Signatures of Fractionalization in Quantum Spin Liquids and Predictions for Experiments

Explore fractionalized excitations in quantum spin liquids, their detection through pump-probe spectroscopy, and potential for creating logical qubits in quantum computation.

• YouTube
• 34 minutes
• On-Demand
• Free Video

Selected Problems of Two-Dimensional Magnetism

Explore key issues in two-dimensional magnetism, including spin fluctuations, magnetic polarons, exciton spectra, and plasmon-magnon hybridization in 2D ferromagnets.

• YouTube
• 35 minutes
• On-Demand
• Free Video

Probing and Controlling Multipolar Orders via Strain and Phonons

Explore multipolar magnets' interaction with phonons and strain fields, focusing on probing and controlling quadrupolar orders in various magnetic systems using advanced theoretical techniques.

• YouTube
• 40 minutes
• On-Demand
• Free Video

Vibronic vs. Orbital Order in Magnetic Insulators

Explore vibronic exchange and order in magnetic insulators, comparing with orbital phenomena. Examine Jahn-Teller effects and spin-vibronic interactions in alkali-doped fullerides.

• YouTube
• 35 minutes
• On-Demand
• Free Video

Hidden Covalent Insulator and Spin Excitations in SrRu2O6

Explore theoretical study of SrRu2O6, combining DFT and DMFT to investigate its antiferromagnetic properties, spin excitations, and the nature of its paramagnetic state.

• YouTube
• 20 minutes
• On-Demand
• Free Video

Helical Ground State and Magnetoelectric Properties of Two-Dimensional Nb3Cl8

Explore helical ground state and magnetoelectric properties of 2D Nb3Cl8, examining ferrovalley coupling, magnetic states, and electric field effects on phase transitions.

• YouTube
• 18 minutes
• On-Demand
• Free Video

Magnetocrystalline Anisotropy of Heavy Rare-Earth Atoms on Graphene

Explore magnetocrystalline anisotropy of heavy rare-earth atoms on graphene using DFT+U method. Uncover electronic and magnetic properties, predict quantum stability, and investigate strain effects.

• YouTube
• 20 minutes
• On-Demand
• Free Video

Thermalization Dynamics in Closed Quantum Many Body Systems: A Precision Large Scale Study

Explore thermalization dynamics in closed quantum many-body systems through precision large-scale analysis with Andreas Läuchli.

• YouTube
• 42 minutes
• On-Demand
• Free Video

Long-Range Nonstabilizerness and Phases of Matter

Delve into quantum physics concepts of nonstabilizerness, exploring its long-range properties in many-body systems and implications for quantum-state preparation, error correction, and phases of matter.

• YouTube
• 42 minutes
• On-Demand
• Free Video

Finite-Temperature Quantum Topological Order in Three Dimensions

Delve into the fermionic toric code model exhibiting long-range entanglement at finite temperatures, exploring its anomalous 2-form symmetry and implications for quantum topological order in three dimensions.

• YouTube
• 34 minutes
• On-Demand
• Free Video

First Expansive Returns and Cross Sections

Explore the concept of first expansive power in continued fraction-like interval maps and its connection to cross sections of geodesic flow on hyperbolic surfaces, with proof of a key conjecture.

• YouTube
• 29 minutes
• On-Demand
• Free Video

Skew-Product Systems Over Infinite Interval Exchange Transformations

Explore the ergodic properties of skew-products over rotated odometers, including recurrence, discrepancy, diffusion coefficient, and ergodicity, using essential values theory and symbolic dynamical representations.

• YouTube
• 29 minutes
• On-Demand
• Free Video

Automatic Proofs in Combinatorial Game Theory

Discover how to use the automatic theorem-prover Walnut for combinatorial game theory, focusing on Wythoff's game and its variations, Beatty sequences, and numeration systems with automaton-recognizable addition.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Dirichlet Improvability in Lp-Norms

Explore Dirichlet improvability in Lp-norms with Nikolay Moshchevitin's mathematical insights from the Workshop on "Uniform Distribution of Sequences."

• YouTube
• 33 minutes
• On-Demand
• Free Video

Descendants of the Mother of All Continued Fractions

Explore the mathematical procedure of contraction in continued fractions, from Seidel's 1855 method to modern applications, including new superoptimal continued fractions with fast convergence and superior approximation properties.

• YouTube
• 43 minutes
• On-Demand
• Free Video