480 citations · 2.2k across the 33 of their papers we have counts for
33 papers
Geometry of Noisy Quantum Many-Body Dynamics with Continuous Symmetries: Entanglement and Correlations
Marco Lastres, Sanjay Moudgalya
We study unitary quantum dynamics in noisy Brownian models with global continuous symmetries, such as and , focusing on Rényi entanglement entropies and hydrodynamic…
Absence of hidden analytic conserved quantities in harmonically confined rods
Sahil Kumar Singh, Abhishek Dhar, Sanjay Moudgalya
Systems of hard rods of equal length in a one-dimensional harmonic trap have been observed to exhibit peculiar non-ergodic behavior that might suggest the existence of a novel hidd…
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-…
Strong Zero Modes via Commutant Algebras
Sanjay Moudgalya, Olexei I. Motrunich
Strong Zero Modes (SZMs) are (approximately) conserved quantities that result in (approximate) double degeneracies in the entire spectra of certain Hamiltonians, with the Majorana…
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…
Additional quantum many-body scars of the spin- model with Fock-space cages and commutant algebras
Sashikanta Mohapatra, Sanjay Moudgalya, Ajit C. Balram
Quantum many-body scars (QMBS) represent a mechanism for weak ergodicity breaking, characterized by the coexistence of atypical non-thermal eigenstates within an otherwise thermali…
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…
Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations
Niklas Ziereis, Sanjay Moudgalya, Michael Knap
Mixed states can exhibit two distinct kinds of symmetries, either on the level of the individual states (strong symmetry), or only on the level of the ensemble (weak symmetry). Str…
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…
Exact volume-law entangled zero-energy eigenstates in a large class of spin models
Sashikanta Mohapatra, Sanjay Moudgalya, Ajit C. Balram
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 proposes a…
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…
Entanglement dynamics from universal low-lying modes
Shreya Vardhan, Sanjay Moudgalya
Information-theoretic quantities such as Renyi entropies show a remarkable universality in their late-time behaviour across a variety of chaotic many-body systems. Understanding ho…
Symmetries as Ground States of Local Superoperators: Hydrodynamic Implications
Sanjay Moudgalya, Olexei I. Motrunich
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 set of…
Filling constraints on translation invariant dipole conserving systems
Fiona J. Burnell, Sanjay Moudgalya, 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 question for such…
Asymptotic Quantum Many-Body Scars
Lorenzo Gotta, Sanjay Moudgalya, Leonardo Mazza
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 (QMBS). We show…
Numerical Methods for Detecting Symmetries and Commutant Algebras
Sanjay Moudgalya, Olexei I. Motrunich
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 commut…
Exhaustive Characterization of Quantum Many-Body Scars using Commutant Algebras
Sanjay Moudgalya, Olexei I. Motrunich
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 the…
From Symmetries to Commutant Algebras in Standard Hamiltonians
Sanjay Moudgalya, Olexei I. Motrunich
In this work, we revisit several families of standard Hamiltonians that appear in the literature and discuss their symmetries and conserved quantities in the language of commutant…
Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
Sanjay Moudgalya, B. Andrei Bernevig, Nicolas Regnault
The discovery of Quantum Many-Body Scars (QMBS) both in Rydberg atom simulators and in the Affleck-Kennedy-Lieb-Tasaki (AKLT) spin-1 chain model, have shown that a weak violation o…
Hilbert Space Fragmentation and Commutant Algebras
Sanjay Moudgalya, Olexei I. Motrunich
We study the phenomenon of Hilbert space fragmentation in isolated Hamiltonian and Floquet quantum systems using the language of commutant algebras, the algebra of all operators th…
Spectral statistics in constrained many-body quantum chaotic systems
Sanjay Moudgalya, Abhinav Prem, David A. Huse +1
We study the spectral statistics of spatially-extended many-body quantum systems with on-site Abelian symmetries or local constraints, focusing primarily on those with conserved di…
Perturbative instability towards delocalization at phase transitions between MBL phases
Sanjay Moudgalya, David A. Huse, Vedika Khemani
We examine the stability of marginally Anderson localized phase transitions between localized phases to the addition of many-body interactions, focusing in particular on the spin-g…
Eta-Pairing in Hubbard Models: From Spectrum Generating Algebras to Quantum Many-Body Scars
Sanjay Moudgalya, Nicolas Regnault, B. Andrei Bernevig
We revisit the -pairing states in Hubbard models and explore their connections to quantum many-body scars to discover a universal scars mechanism. -pairing occurs due to an a…
Digital Herd Immunity and COVID-19
Vir B. Bulchandani, Saumya Shivam, Sanjay Moudgalya +1
A population can be immune to epidemics even if not all of its individual members are immune to the disease, so long as sufficiently many are immune - this is the traditional notio…