Sanjay Moudgalya

Nov 27, 2024 | link.aps.org | Sanjay Moudgalya |Technische Universität München |Olexei I. Motrunich

Symmetry is a fundamental concept in physics, which helps us to understand and predict the universal behavior of large classes of systems. Most symmetries considered in the literature, such as “charge conservation,” have very simple structures. However, recent research has uncovered new, more complex symmetries in quantum many-body systems, such as those exhibiting “Hilbert space fragmentation” where the system’s Hilbert space splits into a large number of disconnected sectors.

Sep 18, 2024 | link.aps.org | Fiona J. Burnell |Sanjay Moudgalya |Technische Universität München |Abhinav Prem

Systems with conserved dipole moment have drawn considerable interest in light of their realization in recent experiments on tilted optical lattices. An important issue regarding such systems is delineating the conditions under which they admit a unique gapped ground state that is consistent with all symmetries.

Jun 27, 2023 | link.aps.org | Sanjay Moudgalya |Olexei I. Motrunich

Abstract For families of Hamiltonians defined by parts that are local, the most general definition of a symmetry algebra is the commutant algebra, i.e., the algebra of operators that commute with each local part. Thinking about symmetry algebras as commutant algebras allows for the treatment of conventional symmetries and unconventional symmetries (e.g., those responsible for weak ergodicity breaking phenomena) on equal algebraic footing.