Absence of Local Conserved Quantity in the Heisenberg Model with Next-Nearest-Neighbor Interaction
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-024-03326-4
Abstract: We rigorously prove that the S=1/2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S=1/2$$\end{document} anisotropic Heisenberg chain (XYZ chain) with next-nearest-neighbor interaction, which is anticipated to be non-integrable, is indeed non-integrable in the sense… read more here.
Keywords: conserved quantity; nearest neighbor; next nearest; local conserved ... See more keywords
Evidence for a conserved quantity in human mobility
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DOI: 10.1038/s41562-018-0364-x
Abstract: Recent seminal works on human mobility have shown that individuals constantly exploit a small set of repeatedly visited locations1–3. A concurrent study has emphasized the explorative nature of human behaviour, showing that the number of… read more here.
Keywords: conserved quantity; mobility; number; evidence conserved ... See more keywords
The Stochastic Transport Dynamics of a Conserved Quantity on a Complex Network
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DOI: 10.1038/s41598-018-32677-8
Abstract: The stochastic dynamics of conserved quantities is an emergent phenomena observed in many complex systems, ranging from social and to biological networks. Using an extension of the Ehrenfest urn model on a complex network, over… read more here.
Keywords: conserved quantity; network; dynamics conserved; number ... See more keywords
Quantum dynamical tunneling breaks classical conserved quantities.
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DOI: 10.1103/physreve.109.054113
Abstract: We discover that quantum dynamical tunneling, occurring between phase space regions in a classically forbidden way, can break conserved quantities. We rigorously prove that a conserved quantity in a class of typical pseudointegrable systems can… read more here.
Keywords: breaks classical; dynamical tunneling; tunneling breaks; conserved quantity ... See more keywords
Conserved Quantity and Adiabatic Invariant for Hamiltonian System with Variable Order
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DOI: 10.3390/sym11101270
Abstract: Hamiltonian mechanics plays an important role in the development of nonlinear science. This paper aims for a fractional Hamiltonian system of variable order. Several issues are discussed, including differential equation of motion, Noether symmetry, and… read more here.
Keywords: conserved quantity; order; system variable; hamiltonian system ... See more keywords