Quantum Chaos Courses and Certifications

Hausdorff Center for Mathematics

Persi Diaconis: Haar-Distributed Random Matrices - In Memory of Elizabeth Meckes

Explore Haar measure on compact groups, high-dimensional geometry, and quantum chaos through the lens of Elizabeth Meckes' groundbreaking work and recent developments in the field.

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

Hausdorff Center for Mathematics

Spectral Gaps of Random Covers of Hyperbolic Surfaces

Explore spectral gaps in random hyperbolic surfaces, including Laplacian resonances and a probabilistic version of Selberg's 3/16 theorem, using transfer operators and zeta functions.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

How Lagrangian States Evolve into Random Waves

Explore the evolution of Lagrangian states into random waves in quantum chaos, focusing on Berry's conjecture and its implications for high-energy limits on negatively curved manifolds.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

PCS Institute for Basic Science

Chaos and Krylov Complexity

Explore the relationship between Krylov complexity and chaos in quantum systems, examining wave function evolution and transition probabilities to uncover universal behaviors in chaotic Hamiltonians.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

PCS Institute for Basic Science

Bloch Theorem Dictated Wave Chaos in Microcavity Crystals

Explore wave chaos theory in cavity lattice systems, uncovering crystal momentum's role in internal cavity dynamics and its impact on light behavior and localization transitions.

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

ICTP-SAIFR

Experimental Quest for the Origin of Irreversibility: Loschmidt Echoes and Out of Time Order Correlators - Class 2

Explore experimental approaches to quantum chaos and irreversibility through Loschmidt Echoes and Out of Time Order Correlators in many-body systems.

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

ICTP-SAIFR

Semiclassical Approach to Discrete Quantum Fields - Class 3

Explore advanced concepts in quantum chaos through semiclassical approaches to discrete quantum fields and many-body interference in Fock space.

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

NCCR SwissMAP

Operator Dynamics and Spectral Correlations in Chaotic Many-Body Systems

Explore operator dynamics and spectral correlations in chaotic many-body quantum systems with insights from Oxford's leading researcher.

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

NCCR SwissMAP

Theory of Out of Time Ordered Correlators in the Hydrodynamic Regime

Explore quantum chaos and thermalization through out-of-time-ordered correlators in hydrodynamic systems, examining their theoretical foundations and applications.

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

International Centre for Theoretical Sciences

Partial Projected Ensemble and Spatiotemporal Structure of Information Scrambling

Explore the spatiotemporal structure of information scrambling and partial projected ensemble in this theoretical physics presentation by Saptarshi Mandal.

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

Dublin Institute for Advanced Studies DIAS

Diagnosing Chaos with Projected Ensembles of Process Tensors

Explore quantum chaos diagnosis using projected process tensor ensembles to distinguish chaotic from integrable dynamics through spatiotemporal entanglement analysis.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Complexity Transitions in Chaotic Quantum Systems

Explore complexity transitions in chaotic quantum systems with Philipp Hauke's insightful talk from the ESI's thematic programme on quantum entanglement.

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

ICTP Condensed Matter and Statistical Physics

School on Quantum Many-Body Phenomena out of Equilibrium - From Chaos to Criticality

Explore quantum many-body dynamics from chaos to criticality through theoretical lectures and experimental platforms covering thermalization, scrambling, and phase transitions.

• YouTube
• 1 day 23 minutes
• On-Demand
• Free Video

ICTP-SAIFR

Random Matrix Theory Applications from Single to Many-Body Quantum Chaos - Class 2

Explore random matrix theory applications in quantum chaos, from single-particle to many-body systems, with insights from Thomas Guhr's advanced lecture series.

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

Institute for Advanced Study

Quantum Chaos and Entanglement in Ion Crystals

Explore quantum chaos and entanglement phenomena in ion crystals through advanced theoretical frameworks and experimental insights from JILA research.

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