Quantum phase transition between symmetry enriched topological phases in tensor-network states [PDF]
Physical Review Research, 2023 Quantum phase transitions between different topologically ordered phases exhibit rich structures and are generically challenging to study in microscopic lattice models.
Lukas Haller +3 more
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Classification of Dipolar Symmetry-Protected Topological Phases: Matrix Product States, Stabilizer Hamiltonians and Finite Tensor Gauge Theories [PDF]
Physical review B, 2023 We classify one-dimensional symmetry-protected topological (SPT) phases protected by dipole symmetries. A dipole symmetry comprises two sets of symmetry generators: charge and dipole operators, which together form a non-trivial algebra with translations.
Ho Tat Lam
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Topological tensor product of bimodules, complete Hopf algebroids and convolution algebras [PDF]
Communications in Contemporary Mathematics, 2018 Given a finitely generated and projective Lie–Rinehart algebra, we show that there is a continuous homomorphism of complete commutative Hopf algebroids between the completion of the finite dual of its universal enveloping Hopf algebroid and the ...
Laiachi El Kaoutit, Paolo Saracco
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Non-invertible symmetries and LSM-type constraints on a tensor product Hilbert space [PDF]
SciPost PhysicsWe discuss the exact non-invertible Kramers-Wannier symmetry of 1+1d lattice models on a tensor product Hilbert space of qubits. This symmetry is associated with a topological defect and a conserved operator, and the latter can be presented as a matrix ...
N. Seiberg +2 more
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Tensor product representation of a topological ordered phase: Necessary symmetry conditions [PDF]
, 2010 The tensor product representation of quantum states leads to a promising variational approach to study quantum phase and quantum phase transitions, especially topological ordered phases which are impossible to handle with conventional methods due to ...
Isaac L. Chuang +4 more
semanticscholar +5 more sources
SOME ALGEBRAIC AND TOPOLOGICAL PROPERTIES OF THE NONABELIAN TENSOR PRODUCT [PDF]
, 2013 Several authors investigated the properties which are invariant under the passage from a group to its nonabelian tensor square. In the present note we study this problem from the viewpoint of the classes of groups and the methods allow us to prove a ...
Daniele Ettore Otera +2 more
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Locally Purified Density Operators for Symmetry-Protected Topological Phases in Mixed States
Physical Review XWe propose a tensor network approach known as the locally purified density operator (LPDO) to investigate the classification and characterization of symmetry-protected topological phases in open quantum systems.
Yuchen Guo +3 more
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Coproducts in the category Seg of Segal topological algebras [PDF]
Proceedings of the Estonian Academy of Sciences, 2021 In this paper we find a sufficient condition for a family of Segal topological algebras to have a coproduct in the category Seg.
Mart Abel
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The diagonal of the multiplihedra and the tensor product of
Journal de l'École polytechnique. Mathématiques, 2022 We define a cellular approximation for the diagonal of the Forcey--Loday realizations of the multiplihedra, and endow them with a compatible topological cellular operadic bimodule structure over the Loday realizations of the associahedra.
Guillaume Laplante‐Anfossi +1 more
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On the first and second Zagreb indices of some products of signed graphs
AKCE International Journal of Graphs and Combinatorics, 2023 Some of the most comprehensively studied degree-based topological indices are the Zagreb indices. In this article, the pair of Zagreb indices have been determined for five product graphs namely tensor product, Cartesian product, lexicographic product ...
Shivani Rai, Biswajit Deb
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