- from lieb|robinson bounds to automorphic equivalence🔍
- 2021 Annual Report🔍
- Global|Categorical|Symmetries|Confinement🔍
- 3/3 Topological Phases of Quantum Lattice Systems and ...🔍
- Homotopical foundations of parametrized quantum spin systems🔍
- Sufficient symmetry conditions for Topological Quantum Order🔍
- Theoretical Study of Invertible States Using Matrix Product States🔍
- Wolfram Videos🔍
Local Noether theorem for quantum lattice systems and topological ...
from lieb-robinson bounds to automorphic equivalence - NSF PAR
quantum information theory and its applications to quantum many-body systems. ... Sopenko, Local Noether theorem for quantum lattice systems and topological.
... local Noether Theorem for Quantum Lattice Systems and Topological Invariants of Gapped States (video conference). Portugal QM3 Seminars: Quantum Matter Meets ...
Global-Categorical-Symmetries-Confinement
The spin-statistics theorem asserts that in a unitary quantum field theory, the spin of a particle—characterized by its transformation under the central element ...
3/3 Topological Phases of Quantum Lattice Systems and ... - YouTube
In these lectures, I will describe recent advances in defining the space of gapped lattice systems and the implications for the ...
Homotopical foundations of parametrized quantum spin systems
In this paper, we present a homotopical framework for studying invertible gapped phases of matter from the point of view of infinite spin lattice systems, ...
Sufficient symmetry conditions for Topological Quantum Order - PNAS
In this theory, the order parameter(s) of the system relate to probing its local structure. A non-vanishing order parameter, encoding the breaking of a symmetry ...
Theoretical Study of Invertible States Using Matrix Product States
Kapustin and N. Sopenko, Local Noether theorem for quantum lattice systems and topological invariants of gapped states, Journal of Mathematical Physics 63, ...
Wolfram Videos: Graph Rewriting for Lattice Topological Invariants
Learn about finite lattice systems in the context of ... local perturbations to a field configuration, searching for discrete analogs to Noether's theorem.
Higher Berry phase of fermions and index theorem
Sopenko, Local Noether theorem for quantum lattice systems and topological invariants of gapped states, arXiv:2201.01327 [INSPIRE]. Z ...
Lieb-Schultz-Mattis theorem in long-range interacting systems and ...
... Topological theory of Lieb-Schultz-Mattis theorems in quantum spin systems,” ... Local Noether theorem for quantum lattice systems and topological invariants.
SCGP VIDEO PORTAL - Simons Center for Geometry and Physics
Title: A local Noether theorem for quantum lattice systems and topological invariants of gapped states. Date: 2021-10-11 @4:00 PM Location: Zoom view video.
Interacting topological quantum chemistry in 2D with many-body real ...
The present work generalizes this real space classification to interacting 2D states. We construct many-body local RSIs as the quantum numbers ...
Quantum vortices: the local order parameter disappears while the ... (Noether's theorem and its quantum analogue: Particle types are irreducible ...
[WSS22] Topological invariants in discrete lattice via graph rewriting
... local perturbations to a field configuration, looking for discrete analogs to Noether' s Theorem . Furthermore, via coloured graphs, with this approach we ...
Noether's 1st theorem with local symmetries - Oxford Academic
Noether's 2nd theorem applied to a total system states that a global symmetry which is a part of local symmetries does not provide a physically meaningful ...
Quantum Current and Holographic Categorical Symmetry - SciPost
To express the local conservation, the internal hom must be used to compute the charge difference, and the framework of enriched category is inevitable. To ...
4. Lattice Gauge Theory - DAMTP
Because our system no longer has continuous translational symmetry, we can't in- voke Noether's theorem to guarantee conservation of energy and momentum.
PRX Quantum 5, 030342 (2024) - Higher-Order Cellular Automata ...
We prove that all possible subsystem symmetries in a square lattice can be locally simulated by an HOCA-generated symmetry. As the usual two- ...
Lectures on Field Theory and Topology - UT Math
In early August of 2017 David Ayala and Ryan Grady organized a CBMS conference on Topological and Geometric Methods in Quantum Field Theory at.
Local Noether theorem for quantum lattice systems and topological invariants ... Counterpropagating topological and quantum Hall edge channels https ...