## "Ultraslow dynamics, fragile fragmentation, and geometric group theory"Shankar Balasubramanian
, MIT - Massachusetts Institute of Technology
[Host: Israel Klich ]
ABSTRACT:
A recurring theme in classical and quantum dynamics is finding examples of systems which fail to thermalize. We introduce a class of 1D translationally invariant classical and quantum dynamics that have an unusual approach to equilibrium. For certain examples, expectation values of local operators relax in a time which is exponentially large in system size, implying an unusual kind of hydrodynamics. In other examples, thermalization only occurs when the system is connected to a bath which is at least exponentially large in system size, a phenomenon that we call fragile fragmentation. A field of mathematics called geometric group theory plays an important role in constructing these examples, and we discuss extensions of these results to 2D. |
Condensed Matter SeminarThursday, October 12, 2023 3:30 PM Clark Hall, Room G004 Note special room. |

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