activity
20032023
most citedDetecting topological order in a ground state wave function

2.1k citations · 9k across the 59 of their papers we have counts for

collaborators

61 papers

cond-mat.supr-con2023

Stability of topological superconducting qubits with number conservation

Matthew F. Lapa, Michael Levin

The study of topological superconductivity is largely based on the analysis of simple mean-field models that do not conserve particle number. A major open question in the field is…

cond-mat.str-el2022

Bulk-boundary correspondence for interacting Floquet systems in two dimensions

Carolyn Zhang, Michael Levin

We present a method for deriving bulk and edge invariants for interacting, many-body localized Floquet systems in two spatial dimensions. This method is based on a general mathemat…

quant-ph2022★ 25 cited

The Free Energy Principle drives neuromorphic development

Chris Fields, Karl Friston, James F. Glazebrook +2

We show how any system with morphological degrees of freedom and locally limited free energy will, under the constraints of the free energy principle, evolve toward a neuromorphic…

cond-mat.str-el2022★ 44 cited

Exactly solvable model for a deconfined quantum critical point in 1D

Carolyn Zhang, Michael Levin

We construct an exactly solvable lattice model for a deconfined quantum critical point (DQCP) in (1+1) dimensions. This DQCP occurs in an unusual setting, namely at the edge of a (…

q-bio.NC2022★ 43 cited

Neurons as hierarchies of quantum reference frames

Chris Fields, James F. Glazebrook, Michael Levin

Conceptual and mathematical models of neurons have lagged behind empirical understanding for decades. Here we extend previous work in modeling biological systems with fully scale-i…

quant-ph2021★ 83 cited

A free energy principle for generic quantum systems

Chris Fields, Karl Friston, James F. Glazebrook +1

The Free Energy Principle (FEP) states that under suitable conditions of weak coupling, random dynamical systems with sufficient degrees of freedom will behave so as to minimize an…