Extreme many-body scarring in a quantum spin chain via weak dynamical constraints

Understand

It has recently been established that quantum many-body scarring can prevent the thermalisation of some isolated quantum systems, starting from certain initial states.

• One of the first models to show this was the so-called PXP Hamiltonian, which was used to theoretically model an experiment on a chain of strongly interacting Rydberg atoms.
• A defining feature of the PXP Hamiltonian is a set of dynamical constraints that make certain states inaccessible to the dynamics.
• In this paper we construct a class of spin chain models that are parameterised by a discrete variable $\ell$ that controls the "strength" of a dynamical constraint.