Kinetically constrained freezing transition in a dipoleconserving system
Abstract
We study a stochastic lattice gas of particles in one dimension with strictly finiterange interactions that respect the fractonlike conservation laws of total charge and dipole moment. As the charge density is varied, the connectivity of the system's charge configurations under the dynamics changes qualitatively. We find two distinct phases: Near half filling the system thermalizes subdiffusively, with almost all configurations belonging to a single dynamically connected sector. As the charge density is tuned away from half filling there is a phase transition to a frozen phase, where locally active finite bubbles cannot exchange particles and the system fails to thermalize. The two phases exemplify what has recently been referred to as weak and strong Hilbert space fragmentation, respectively. We study the static and dynamic scaling properties of this weaktostrong fragmentation phase transition in a kinetically constrained classical Markov circuit model, obtaining some conjectured exact critical exponents.
 Publication:

Physical Review B
 Pub Date:
 June 2020
 DOI:
 10.1103/PhysRevB.101.214205
 arXiv:
 arXiv:2004.00096
 Bibcode:
 2020PhRvB.101u4205M
 Keywords:

 Condensed Matter  Statistical Mechanics;
 Condensed Matter  Quantum Gases;
 Quantum Physics
 EPrint:
 12 pages, 7 figures, 1 table