Exact solution for the filling-induced thermalization transition in a 1D fracton system
Brian Skinner - The Ohio State University
Event Details:
Location
Stanford University
476 Lomita Mall
Room 115
Stanford, CA 94305
United States
When a many-body system fails to thermalize (i.e., to explore the full set of states consistent with its conserved quantities), the culprit is usually some kind of strong disorder. But in "fracton" systems, this failure to thermalize can arise even in the absence of disorder due to kinematic constraints on the particle motion. In this talk I consider a simple example of such constrained dynamics, where particles move randomly in one dimension but their dynamics conserves both the total charge and the dipole moment. This system exhibits a continuous thermalization transition as a function of the particle density. Here I present an exact solution for the critical density and critical exponents of this transition via a surprising mapping to two different problems in combinatorics.
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