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.
Many-body Quantum Chaos in Mixtures of Multiple Species
Explores quantum chaos in multi-species systems, focusing on stability, dynamics, and novel phases of quantum matter. Discusses mechanisms like MBL and Hilbert Space Fragmentation in non-equilibrium physics.
Dynamical Manifestations of Many-Body Quantum Chaos and Self-Averaging
Explore dynamical manifestations of many-body quantum chaos and self-averaging in quantum systems, focusing on stability and non-equilibrium behavior in coherent time evolution.
The Double Scaled SYK Model - Quantum Chaos and Non-Commutative Geometry
Explore quantum chaos and non-commutative geometry in the double scaled SYK model. Delve into advanced string theory concepts and their implications for spacetime and black hole information.
Sachdev-Ye-Kitaev Model, Quantum Chaos, and Dynamical Transitions - Lecture 1
Explore quantum chaos, dynamical transitions, and the SYK model in this advanced theoretical physics lecture. Gain insights into cutting-edge research on quantum information and gravity.
Dual Unitary Circuits as Models of Many-Body Quantum Chaos
Explore many-body quantum chaos through dual-unitary circuits, from quantum ergodic hierarchies to perfect tensors, with insights on construction algorithms and correlation functions.
Chaotic Quantum Dynamics and the Quantum Geometry of Spacetime
Explore connections between chaotic quantum systems and black hole physics, and progress in describing accelerating universes using quantum mechanics and the SYK model.
Bistability and Chaos-Assisted Tunneling in Dissipative Quantum Systems
Explore quantum bistability and chaos-assisted tunneling in dissipative systems, focusing on analytical estimates for quantum limit cycles and novel tunneling phenomena.
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.
Delocalization and Scrambling of Operators in Quantum Networks
Explore operator delocalization in quantum networks, contrasting with operator growth and uncovering connections to scrambling and quantum chaos.
Quantum Chaos and Eigenstate Thermalization - Lecture 4
Explore quantum chaos, eigenstate thermalization, and their applications in spin systems. Delve into entropy, symmetries, and classical limits in quantum dynamics.
Quantum Chaos and Eigenstate Thermalization - Lecture 2
Explore quantum chaos, eigenstate thermalization, and their extensions to non-classical systems like Ising and Heisenberg spins. Delve into entropy, symmetries, and alternative theories.
Quantum Chaos and Eigenstate Thermalization - Lecture 3
Explore quantum chaos, eigenstate thermalization, and their applications in various systems, including spin systems and classical limits.
Eigenstate Thermalization in Quantum Many-Body Systems
Explore eigenstate thermalization in quantum many-body systems, delving into advanced concepts and their implications for statistical mechanics.
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.
Detection of Quantum Chaos with Quantum Hamming Distance
Explore quantum chaos detection using Quantum Hamming Distance, uncovering state sensitivity in quantum theory and challenging traditional beliefs about quantum evolution.
Information Scrambling: A Path-Integral Perspective
Explore quantum information scrambling, its quantification through Lyapunov exponents, and the role of path integrals in understanding universal bounds on chaos in thermal quantum systems.
Adiabatic Eigenstate Deformations and Weak Integrability Breaking of Heisenberg Chain
Explore adiabatic eigenstate deformations and weak integrability breaking in the Heisenberg chain, investigating quasiconserved charges and the adiabatic gauge potential's behavior in perturbed XXX chains.
Many-Body Localization in Wannier-Stark Ladders with Long-Range Interactions
Explore many-body localization in quantum lattice systems with long-range interactions and linear external potential. Analyze phase diagrams and system dynamics using numerical approaches.
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.
Explorations of Dissipative Quantum Chaos from Non-Hermitian Random Matrix Theory
Explore dissipative quantum chaos through non-Hermitian random matrix theory. Examine volume-law entanglement entropy and eigenstate thermalization hypothesis modifications in open quantum systems.