Local Noether theorem for quantum lattice systems and topological ...

[2201.01327] Local Noether theorem for quantum lattice systems ...

Its cohomology class is a topological invariant of the family. When the family is equivariant under the action of a compact Lie group G, ...

We study generalizations of the Berry phase for quantum lattice systems in arbitrary dimensions. For a smooth family of gapped ground states ...

Local Noether theorem for quantum lattice systems and topological ...

Local Noether theorem for quantum lattice systems and topological invariants of gapped states. Anton Kapustin, Nikita Sopenko. California ...

Local Noether theorem for quantum lattice systems and topological ...

A key role in these constructions is played by a certain differential graded Fréchet–Lie algebra attached to any quantum lattice system. As a by-product, we ...

Local Noether theorem for quantum lattice systems and topological ...

Download Citation | Local Noether theorem for quantum lattice systems and topological invariants of gapped states | We study generalizations of the Berry ...

Local Noether theorem for quantum lattice systems and topological ...

Article on Local Noether theorem for quantum lattice systems and topological invariants of gapped states, published in Journal of Mathematical Physics 63 on ...

Local Noether theorem for quantum lattice systems and topological ...

We study generalizations of the Berry phase for quantum lattice systems in arbitrary dimensions. For a smooth family of gapped ground states in d dimensions ...

VideoArxiv

Talk page. Title: A local Noether theorem for quantum lattice systems and topological invariants of gapped states. Speaker: Anton Kapustin. Abstract: In field ...

Topological Invariants of Gapped Quantum Lattice Systems

Abstract ; https://doi.org/10.1063/5.0085964, Related Document, Local Noether theorem for quantum lattice systems and topological invariants of ...

Nikita Sopenko - Inspire HEP

Local Noether theorem for quantum lattice systems and topological invariants of gapped states. #5. Anton Kapustin(. Caltech, Pasadena (main).

Nikita Sopenko - Semantic Scholar

A classification of invertible phases of bosonic quantum lattice systems in one dimension · An index for two-dimensional SPT states · Local Noether theorem for ...

arXiv:2309.14332v1 [cond-mat.mes-hall] 25 Sep 2023

Sopenko, “Local Noether theorem for quantum lattice systems and topological invariants of gapped states,” Journal of Mathematical Physics 63 ...

math-ph Mathematical Physics arXiv submissions on X: "https://t.co ...

https://t.co/29fuNJTKG7 A Kapustin, N Sopenko Local Noether theorem for quantum lattice systems and topological invariants of gapped states.

Anton Kapustin's research works | California Institute of Technology ...

We show that infinitesimal symmetries of a gapped state of a quantum spin system form a local Lie algebra over a site of semilinear sets and use it to construct ...

Seminars :: math.ucdavis.edu

Local Noether theorem for quantum lattice systems and applications. Mathematical Physics Seminar. Speaker: Anton Kapustin, Caltech. Location: 1147 MSB. Start ...

SCGP VIDEO PORTAL - Simons Center for Geometry and Physics

Simons Collaboration on Global Categorical Symmetries Title: A local Noether theorem for quantum lattice systems and topological invariants of gapped states

Stability of the bulk gap for frustration-free topologically ordered ...

... local topological quantum ... Kapustin, A., Sopenko, N.: Local Noether theorem for quantum lattice systems and topological invariants of gapped ...

GCS: Kick-Off Meeting

Anton Kapustin: A local Noether theorem for quantum lattice systems and topological invariants of gapped states. In field theory, conserved currents have well- ...

[PDF] A classification of invertible phases of bosonic quantum lattice ...

We study invertible states of 1d bosonic quantum lattice systems. We show that every invertible 1d state is in a trivial phase: after tensoring with some ...

Propagation of Correlations in Quantum Lattice Systems

2019, Quantum, p. 174. Scopus. WoS. Crossref citations: 9 · Local Noether theorem for quantum lattice systems and topological invariants of gapped states. Anton ...