We show that the combination of charge and dipole conservation—characteristic of fracton
systems—leads to an extensive fragmentation of the Hilbert space, which, in turn, can lead …

We study the quantum dynamics of a simple translation invariant, center-of-mass (CoM)
preserving model of interacting fermions in one dimension (1D), which arises in multiple …

We study a kinetically constrained pair-hop** model that arises within a Landau level in
the quantum Hall effect. At filling ν= 1/3, the model exactly maps onto the so-called “PXP …

In systems with a conserved density, the additional conservation of the center of mass
(dipole moment) has been shown to slow down the associated hydrodynamics. At the same …

We achieve an explicit construction of the lowest Landau level (LLL) projected wave
functions for composite fermions in the periodic (torus) geometry. To this end, we first …

We analyze general zero mode properties of the parent Hamiltonian of the unprojected Jain-
2/5 state. We characterize the zero mode condition associated to this Hamiltonian via …

We propose a frustration-free model for the Moore-Read quantum Hall state on sufficiently
thin cylinders with circumferences≲ 7 magnetic lengths. While the Moore-Read Hamiltonian …

We introduce a broad class of simple models for quantum Hall states based on the
expansion of their parent Hamiltonians near the one-dimensional limit of “thin cylinders,” ie …

Simultaneous conservation of charge (spin projection to the z axis) and dipole moment can
partially suppress ergodicity (thermalization) by means of shattering the phase space. This …

We argue for the existence of a universal phase diagram of $ k $-local quantum chains
subject to the conservation of a total charge and its dipole moment, which exhibits" freezing" …