445 citations · 5.8k across the 97 of their papers we have counts for
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Weak integrability breaking perturbations in classical integrable models on the lattice
Sara Vanovac, Catherine McCarthy, Federica Maria Surace +1
We show how to systematically construct weak integrability breaking perturbations (WIBs) for classical integrable models on the lattice. These perturbations, which allow quasi-cons…
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…
Finite-size generators for weak integrability breaking perturbations in the Heisenberg chain
Sara Vanovac, Federica Maria Surace, Olexei Motrunich
An integrable model perturbed by special ''weak integrability-breaking'' perturbations thermalizes at timescales much longer than predicted by Fermi's golden rule. Recently, a syst…
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…
Robustness and eventual slow decay of bound states of interacting microwave photons in the Google Quantum AI experiment
Federica Maria Surace, Olexei Motrunich
Integrable models are characterized by the existence of stable excitations that can propagate indefinitely without decaying. This includes multi-magnon bound states in the celebrat…
Weak integrability breaking perturbations of integrable models
Federica Maria Surace, Olexei Motrunich
A quantum integrable system slightly perturbed away from integrability is typically expected to thermalize on timescales of order , where is the perturbation stre…
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…
Out-of-time-ordered correlators in quantum Ising chain
Cheng-Ju Lin, Olexei I. Motrunich
Out-of-time-ordered correlators (OTOC) have been proposed to characterize quantum chaos in generic systems. However, they can also show interesting behavior in integrable models, r…
Explicit construction of quasi-conserved local operator of translationally invariant non-integrable quantum spin chain in prethermalization
Cheng-Ju Lin, Olexei I. Motrunich
We numerically construct translationally invariant quasi-conserved operators with maximum range M which best-commute with a non-integrable quantum spin chain Hamiltonian, up to M =…
Implementation of rigorous renormalization group method for ground space and low-energy states of local Hamiltonians
Brenden Roberts, Thomas Vidick, Olexei I. Motrunich
The practical success of polynomial-time tensor network methods for computing ground states of certain quantum local Hamiltonians has recently been given a sound theoretical basis…
Quasiparticle explanation of "weak thermalization" regime under quench in a non-integrable quantum spin chain
Cheng-Ju Lin, Olexei I. Motrunich
Eigenstate Thermalization Hypothesis provides one picture of thermalization in a quantum system by looking at individual eigenstates. However, it is also important to consider how…
Monte Carlo study of phase transitions out of Symmetry-Enriched Topological phases of bosons in two dimensions
Jong Yeon Lee, Scott D. Geraedts, Olexei I. Motrunich
We study a statistical mechanics model of two species of bosons with mutual statistics in (2+1) dimensions. This model realizes a fractionalized topological phase of boson…
Exact Models for Symmetry-Protected Topological Phases in One Dimension
Scott D. Geraedts, Olexei I. Motrunich
We present an exactly solvable model for one-dimensional symmetry-protected topological phases with symmetry. The model works by binding point topo…
Model of Fractionalization of Faraday Lines in Compact Electrodynamics
Scott D. Geraedts, Olexei I. Motrunich
Motivated by ideas of fractionalization and intrinsic topological order in bosonic models with short-range interactions, we consider similar phenomena in formal lattice gauge theor…
Model Realization and Numerical Studies of a Three-Dimensional Bosonic Topological Insulator and Symmetry-Enriched Topological Phases
Scott Geraedts, Olexei Motrunich
We study a topological phase of interacting bosons in (3+1) dimensions which is protected by charge conservation and time-reversal symmetry. We present an explicit lattice model wh…
Monte Carlo Study of a Loop Model with Modular Invariance
Scott D. Geraedts, Olexei I. Motrunich
We study a system in (2+1)-dimensions with long-range interactions and mutual statistics. The model has the same form after the application of operations from the…
Phases and phase transitions in a system with mutual statistics
Scott D. Geraedts, Olexei I. Motrunich
We study a system with short-range interactions and mutual statistics in (2+1) dimensions. We are able to reformulate the model to eliminate the sign pro…
Line of continuous phase transitions in a three dimensional U(1) model with 1/r^2 current-current interactions
Scott D. Geraedts, Olexei I. Motrunich
We study a lattice model of interacting loops in three dimensions with a interaction. Using Monte Carlo, we find that the phase diagram contains a line of second-order phas…
Monte Carlo Study of a U(1)xU(1) system with π-statistical Interaction
Scott D. Geraedts, Olexei I. Motrunich
We study a system with two species of loops with mutual -statistics in (2+1) dimensions. We are able to reformulate the model in a way that can be studied by M…
Comparative study of Higgs transition in one-component and two-component lattice superconductor models
Olexei I. Motrunich, Ashvin Vishwanath
Using Monte Carlo simulations, we study a Higgs transition in several three-dimensional lattice realizations of the noncompact CP model (NCCP), a gauge theory with two comp…