Tunable geometries from a sparse quantum spin network

2020 ◽  
Author(s):  
Gregory Bentsen ◽  
Tomohiro Hashizume ◽  
Emily J. Davis ◽  
Anton S. Buyskikh ◽  
Monika H. Schleier-Smith ◽  
...  
Keyword(s):  
Quantum Spin ◽  
Spin Network

scholarly journals A molecular quantum spin network controlled by a single qubit

2017 ◽  
Vol 3 (8) ◽  
pp. e1701116 ◽  
Author(s):  
Lukas Schlipf ◽  
Thomas Oeckinghaus ◽  
Kebiao Xu ◽  
Durga Bhaktavatsala Rao Dasari ◽  
Andrea Zappe ◽  
...  
Keyword(s):  
Quantum Spin ◽  
Spin Network ◽  
Single Qubit

scholarly journals The tail of a quantum spin network

2015 ◽  
Vol 40 (1) ◽  
pp. 135-176 ◽  
Author(s):  
Mustafa Hajij
Keyword(s):  
Quantum Spin ◽  
Spin Network

scholarly journals Q-Series and quantum spin networks

2020 ◽  
pp. 1-19
Author(s):  
Mohamed Elhamdadi ◽  
Mustafa Hajij ◽  
Jesse S. F. Levitt
Keyword(s):  
Natural Product ◽  
Jones Polynomial ◽  
Infinite Family ◽  
Product Structure ◽  
Quantum Spin ◽  
Spin Networks ◽  
Spin Network ◽  
Colored Jones Polynomial ◽  
The Family

The tail of a quantum spin network in the two-sphere is a [Formula: see text]-series associated to the network. We study the existence of the head and tail functions of quantum spin networks colored by [Formula: see text]. We compute the [Formula: see text]-series for an infinite family of quantum spin networks and give the relation between the tail of these networks and the tail of the colored Jones polynomial. Finally, we show that the family of quantum spin networks under study satisfies a natural product structure.

STATE SUM MODELS FOR TRIVALENT KNOTTED GRAPH INVARIANTS USING QUANTUM GROUP SLq(2)

1992 ◽  
Vol 01 (03) ◽  
pp. 253-278 ◽  
Author(s):  
SERGEY PIUNIKHIN
Keyword(s):  
Network Theory ◽  
Quantum Spin ◽  
Topological Invariants ◽  
Graph Invariants ◽  
Spin Network ◽  
Face Model ◽  
Polynomial Invariants ◽  
Root Of Unity ◽  
State Models ◽  
6J Symbols

Four approaches to construct polynomial invariants for trivalent knotted graphs in S3 are compared. The first approach is based on vertex model with R-matrices and Glebsh-Gordan coefficients, appearing in SLq(2)-representations theory, as Boltzman weights. The second approach is based on Kauffman's quantum spin network theory, the third one is based on Witten-Turaev area-coloring model (or face model) based on quantum 6j-symbols, where q is root of unity. The fourth approach is based on the same face (or area-coloring) model, but q is not root of unity. The coincidence (up to certain normalization) of topological invariants, arising from these four state models, is proved.

scholarly journals Beam splitter for spin waves in quantum spin network

2006 ◽  
Vol 52 (3) ◽  
pp. 377-381 ◽  
Author(s):  
S. Yang ◽  
Z. Song ◽  
C. P. Sun
Keyword(s):  
Beam Splitter ◽  
Spin Waves ◽  
Quantum Spin ◽  
Spin Network

Solvable nineteen-vertex models and quantum spin chains of spin one

1994 ◽  
Vol 4 (8) ◽  
pp. 1151-1159 ◽  
Author(s):  
Makoto Idzumi ◽  
Tetsuji Tokihiro ◽  
Masao Arai
Keyword(s):  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Vertex Models
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