Results 11 to 20 of about 928,980 (320)

Topological Entanglement Entropy [PDF]

open access: yesPhysical Review Letters, 2006
4 pages, 3 eps figures.
Kitaev, Alexei, Preskill, John
openaire   +6 more sources

New approach to weighted topological entropy and pressure [PDF]

open access: yesErgodic Theory and Dynamical Systems, 2021
Motivated by fractal geometry of self-affine carpets and sponges, Feng and Huang [J. Math. Pures Appl. 106(9) (2016), 411–452] introduced weighted topological entropy and pressure for factor maps between dynamical systems, and proved variational ...
M. Tsukamoto
semanticscholar   +1 more source

Universal Lower Bound on Topological Entanglement Entropy. [PDF]

open access: yesPhysical Review Letters, 2023
Entanglement entropies of two-dimensional gapped ground states are expected to satisfy an area law, with a constant correction term known as the topological entanglement entropy (TEE).
Isaac H. Kim   +4 more
semanticscholar   +1 more source

Measuring entanglement entropy and its topological signature for phononic systems [PDF]

open access: yesNature Communications, 2023
Entanglement entropy is a fundamental concept with rising importance in various fields ranging from quantum information science, black holes to materials science. In complex materials and systems, entanglement entropy provides insight into the collective
Zhi-Kang Lin   +8 more
semanticscholar   +1 more source

Packing topological entropy for amenable group actions [PDF]

open access: yesErgodic Theory and Dynamical Systems, 2020
Packing topological entropy is a dynamical analogy of the packing dimension, which can be viewed as a counterpart of Bowen topological entropy. In the present paper we give a systematic study of the packing topological entropy for a continuous G-action ...
D. Dou, Dongmei Zheng, Xiaomin Zhou
semanticscholar   +1 more source

Reeb orbits that force topological entropy [PDF]

open access: yesErgodic Theory and Dynamical Systems, 2020
We develop a forcing theory of topological entropy for Reeb flows in dimension three. A transverse link L in a closed contact $3$ -manifold $(Y,\xi )$ is said to force topological entropy if $(Y,\xi )$ admits a Reeb flow with vanishing topological ...
Marcelo R. R. Alves, A. Pirnapasov
semanticscholar   +1 more source

Topological charge-entropy scaling in kagome Chern magnet TbMn6Sn6 [PDF]

open access: yesNature Communications, 2021
In ordinary materials, electrons conduct both electricity and heat, where their charge-entropy relations observe the Mott formula and the Wiedemann-Franz law.
Xitong Xu   +11 more
semanticscholar   +1 more source

Topological entropy of nonautonomous dynamical systems [PDF]

open access: yesJournal of Differential Equations, 2019
Let $\mathcal{M}(X)$ be the space of Borel probability measures on a compact metric space $X$ endowed with the weak$^\ast$-topology. In this paper, we prove that if the topological entropy of a nonautonomous dynamical system $(X,\{f_n\}_{n=1}^{+\infty})$
Kairan Liu, Yixiao Qiao, Leiye Xu
semanticscholar   +1 more source

Topological Properties and Entropy Calculations of Aluminophosphates

open access: yesMathematics, 2023
Topological indices are invariant numerical quantities of a graph that give facts about the structure of graphs and are found to be very helpful in predicting the physical properties of aluminophosphates.
J. S. Vijay   +6 more
semanticscholar   +1 more source

Topology and topological sequence entropy [PDF]

open access: yesScience China Mathematics, 2019
Let $X$ be a compact metric space and $T:X\longrightarrow X$ be continuous. Let $h^*(T)$ be the supremum of topological sequence entropies of $T$ over all subsequences of $\mathbb Z_+$ and $S(X)$ be the set of the values $h^*(T)$ for all continuous maps $T$ on $X$.
Snoha, L., Ye, X., Zhang, R.
openaire   +4 more sources

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