Freezing transition in particle-conserving East model
- URL: http://arxiv.org/abs/2307.01993v1
- Date: Wed, 5 Jul 2023 02:53:03 GMT
- Title: Freezing transition in particle-conserving East model
- Authors: Cheng Wang, Zhi-Cheng Yang
- Abstract summary: We study a class of one-dimensional particle number conserving systems where particle hoppings are subjected to an East-like constraint.
We find that the degree of fragmentation exhibits a sharp transition as the average particle density is varied.
- Score: 13.067101532485456
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum kinetically constrained models can exhibit a wealth of dynamical
phenomena ranging from anomalous transport to Hilbert-space fragmentation
(HSF). We study a class of one-dimensional particle number conserving systems
where particle hoppings are subjected to an East-like constraint, akin to
facilitated spin models in classical glasses. While such a kinetic constraint
leads to HSF, we find that the degree of fragmentation exhibits a sharp
transition as the average particle density is varied. Below a critical density,
the system transitions from being weakly fragmented where most of the initial
states thermalize diffusively, to strongly fragmented where the dynamics are
frozen and the system fails to thermalize. Remarkably, the East model allows
for both efficient numerical simulations and analytic solutions of various
diagnostics of the phase transition, from which we obtain a set of exact
critical exponents. We find that the freezing transition in particle-conserving
East models belongs to the same universality class as dipole-conserving fracton
systems. Our results provide a tractable minimal model for filling-induced
freezing transitions associated with HSF, which can be readily tested in
state-of-the-art quantum platforms.
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