Results 31 to 40 of about 1,113,526 (309)

Connectomes and properties of quantum entanglement

Journal of High Energy Physics, 2023
Topological quantum field theories (TQFT) encode properties of quantum states in the topological features of abstract manifolds. One can use the topological avatars of quantum states to develop intuition about different concepts and phenomena of quantum ...
Dmitry Melnikov
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Knots, links, and long-range magic

Journal of High Energy Physics, 2021
We study the extent to which knot and link states (that is, states in 3d Chern-Simons theory prepared by path integration on knot and link complements) can or cannot be described by stabilizer states. States which are not classical mixtures of stabilizer
Jackson R. Fliss
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Revisiting the Melvin-Morton-Rozansky expansion, or there and back again

Journal of High Energy Physics, 2020
Alexander polynomial arises in the leading term of a semi-classical Melvin-Morton-Rozansky expansion of colored knot polynomials. In this work, following the opposite direction, we propose how to reconstruct colored HOMFLY-PT polynomials ...
Sibasish Banerjee, Jakub Jankowski, Piotr Sułkowski   +2 more
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Complementary projection defects and decomposition

Journal of High Energy Physics, 2021
As put forward in [1] topological quantum field theories can be projected using so-called projection defects. The projected theory and its correlation functions can be completely realized within the unprojected one.
Fabian Klos, Daniel Roggenkamp
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3 definitions of BF theory on homology 3-spheres

Journal of High Energy Physics, 2023
3-dimensional BF theory with gauge group G (= Chern-Simons theory with non-compact gauge group TG) is a deceptively simple yet subtle topological gauge theory.
Matthias Blau, Mbambu Kakona, George Thompson   +2 more
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Matrix product states and equivariant topological field theories for bosonic symmetry-protected topological phases in (1+1) dimensions [PDF]

, 2016
A bstractMatrix Product States (MPSs) provide a powerful framework to study and classify gapped quantum phases — symmetry-protected topological (SPT) phases in particular — defined in one dimensional lattices.
Ken Shiozaki, S. Ryu
semanticscholar   +1 more source

Tori detect invertibility of topological field theories [PDF]

Geometry and Topology, 2015
A once-extended d-dimensional topological field theory Z is a symmetric monoidal functor (taking values in a chosen target symmetric monoidal (infty,2)-category) assigning values to (d-2)-manifolds, (d-1)-manifolds, and d-manifolds.
Christopher J. Schommer-Pries
semanticscholar   +1 more source

How planar superconductors cure their infrared divergences

Journal of High Energy Physics, 2022
Planar superconductors, emerging in thin films with thickness comparable to the superconducting coherence length, differ crucially from their bulk counterparts.
M. C. Diamantini, C. A. Trugenberger, V. M. Vinokur   +2 more
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Mapping Topological to Conformal Field Theories through strange Correlators. [PDF]

Physical Review Letters, 2018
We extend the concept of strange correlators, defined for symmetry-protected phases in You et al. [Phys. Rev. Lett. 112, 247202 (2014)PRLTAO0031-900710.1103/PhysRevLett.112.247202], to topological phases of matter by taking the inner product between ...
R. Vanhove, M. Bal, D. Williamson, Nick Bultinck, J. Haegeman, F. Verstraete   +5 more
semanticscholar   +1 more source

Topological field theories on manifolds with Wu structures [PDF]

, 2016
We construct invertible field theories generalizing abelian prequantum spin Chern-Simons theory to manifolds of dimension 4k+3 endowed with a Wu structure of degree 2k+2.
Samuel Monnier
semanticscholar   +1 more source