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Kinetically Constrained Models Showing Hilbert Space Fragmentation

International Centre for Theoretical Sciences via YouTube

Overview

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Explore kinetically constrained models that exhibit Hilbert space fragmentation in this 46-minute conference talk from the International Centre for Theoretical Sciences. Delve into the fascinating phenomenon where quantum many-body systems break up into disconnected sectors due to kinetic constraints, preventing ergodic behavior and leading to non-thermal dynamics. Learn how these models demonstrate emergent symmetries and fragmentation patterns that challenge conventional understanding of thermalization in quantum systems. Examine specific examples of constrained models where local dynamics cannot connect all states in the Hilbert space, resulting in an exponential number of disconnected components. Discover the implications of this fragmentation for quantum entanglement, conservation laws, and the emergence of slow dynamics in certain quantum phases. Understand how kinetic constraints can protect quantum information and create stable non-equilibrium states that persist indefinitely. This presentation is part of the "Generalised symmetries and anomalies in quantum phases of matter" program, which explores cutting-edge developments in symmetry concepts including higher-form, non-invertible, and subsystem symmetries that extend beyond traditional particle and condensed matter physics paradigms.

Syllabus

Kinetically Constrained Models Showing Hilbert Space Fragmentation by Diptiman Sen

Taught by

International Centre for Theoretical Sciences

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