480 citations · 2.2k across the 33 of their papers we have counts for
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Geometry of Free Fermion Commutants
Marco Lastres, Sanjay Moudgalya
Understanding the structure of operators that commute with identical replicas of unitary ensembles, also known as their -commutants, is an important problem in quantum many-…
Locality forces equal energy spacing of quantum many-body scar towers
Nicholas O'Dea, Lei Gioia, Sanjay Moudgalya +1
Quantum many-body scars are non-thermal eigenstates embedded in the spectra of otherwise non-integrable Hamiltonians. Paradigmatic examples often appear as quasiparticle towers of…
Distinct Types of Parent Hamiltonians for Quantum States: Insights from the State as a Quantum Many-Body Scar
Lei Gioia, Sanjay Moudgalya, Olexei I. Motrunich
The construction of parent Hamiltonians that possess a given state as their ground state is a well-studied problem. In this work, we generalize this notion by considering simple qu…
Dynamics in the presence of local symmetry-breaking impurities
Yahui Li, Pablo Sala, Frank Pollmann +2
Continuous symmetries lead to universal slow relaxation of correlation functions in quantum many-body systems. In this work, we study how local symmetry-breaking impurities affect…
Non-Universality from Conserved Superoperators in Unitary Circuits
Marco Lastres, Frank Pollmann, Sanjay Moudgalya
An important result in the theory of quantum control is the "universality" of -local unitary gates, i.e. the fact that any global unitary evolution of a system of qudits can…