We study quantum many-body scars (QMBS) in the language of commutant algebras, which
are defined as symmetry algebras of families of local Hamiltonians. This framework explains …

We consider a quantum lattice spin model featuring exact quasiparticle towers of
eigenstates with low entanglement at finite size, known as quantum many-body scars …

The eigenstate thermalization hypothesis describes how most isolated many-body quantum
systems reach thermal equilibrium. However, the hypothesis is violated by phenomena such …

The Quantum Approximate Optimization Algorithm (QAOA) has been proposed as a method
to obtain approximate solutions for combinatorial optimization tasks. In this work, we study …

Quantum scars are nonthermal eigenstates that prevent thermalization of initial states with
weight on the scars. When the scar states are equally spaced in energy, superpositions of …

Exact solutions for excited states in non-integrable quantum Hamiltonians have revealed
novel dynamical phenomena that can occur in quantum many-body systems. This work …

Symmetry algebras of quantum many-body systems with locality can be understood using
commutant algebras, which are defined as algebras of operators that commute with a given …

Most isolated, many-body, quantum systems satisfy the eigenstate thermalization
hypothesis. However, several phenomena violate the hypothesis: many-body localization …