Topological Invariants of Gapped Quantum Lattice Systems

A systematic way to construct topological invariants of gapped states of quantum lattices systems is proposed.

Topological invariants of gapped quantum lattice systems

Topological invariants of gapped quantum lattice systems. Thesis by. Nikita A. Sopenko. In Partial Fulfillment of the Requirements for the. Degree of. Doctor of ...

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

Abstract page for arXiv paper 2201.01327: Local Noether theorem for quantum lattice systems and topological invariants of gapped states.

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

... Local Noether theorem for quantum lattice systems and topological invariants of gapped states. Journal Article · Fri Sep 30 00:00:00 EDT 2022 · Journal ...

Topological Invariants of Gapped States and 't Hooft Anomalies

Recently, an approach to constructing topological invariants of gapped ground-states of lattice systems has been developed in our joint work ...

Topological Invariants of Interacting Gapped Quantum Materials and ...

In this thesis we study transport properties of interacting lattice system focusing, on those which become topologically protected at low temperatures for ...

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

Anton Kapustin, Nikita Sopenko; Local Noether theorem for quantum lattice systems and topological invariants of gapped states. J. Math. Phys ...

Topological invariants of gapped lattice systems and ...

The simplest example is a 2d system exhibiting the quantum Hall effect, which is assumed to be described by a Chern-Simons field theory. In this talk I will ...

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 ...

Volume and topological invariants of quantum many-body systems

A gapped many-body system is described by path integral on a space-time lattice $C^{d+1}$, which gives rise to a partition function $Z(C^{d+1})$ if ...

Topological Invariants of Interacting Gapped Quantum Materials and ...

We use these formulas to define a relative topological invariant of gapped 2d lattice systems at zero temperature. We define and study analogs of the ...

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

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

Topological Invariants of Gapped States and 't Hooft Anomalies | Vidéo

It applies to arbitrary gapped states of infinite-volume lattice spin systems with rapidly decaying interactions and employs C*-algebraic ...

Geometry and Quantum Theory seminar.

: Topological Invariants of gapped states through cosheaves. ... invariants of lattice spin systems living on well-behaved subsets of the lattice.

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 ...

A mathematical theory of topological invariants of quantum spin ...

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 ...

Topological Invariants of Interacting Gapped Quantum Materials and ...

We prove the vanishing of the net energy currents in equilibrium states of lattice systems as well as systems of nonrelativistic particles with finite- range ...

Phys. Rev. B 101, 045137 (2020) - Thermal Hall conductance and a ...

We use it to define a relative topological invariant of gapped 2d lattice systems at zero temperature. ... Edge statesQuantum phase transitions ...

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

Local Noether theorem for quantum lattice systems and topological invariants of gapped states. https://doi.org/10.1063/5.0085964 ·. Journal: Journal of ...

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

Local Noether theorem for quantum lattice systems and topological invariants of gapped states Editor's Pick. Special Collection: Mathematical ...