Non-extensive statistical entropy,quantum groups and quantum entanglement期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Non-extensive statistical entropy,quantum groups and quantum entanglement

Authors:	M.A.S. Trindade J.D.M. Vianna

Affiliation:	1. Departamento de Ciências Exatas e da Terra, Universidade do Estado da Bahia, Rodovia Alagoinhas/Salvador, BR 110, Km 03, 48040-210, Alagoinhas, Bahia, Brazil;2. Instituto de Física, Universidade Federal da Bahia, Campus Ondina, 40210-340 Salvador, Bahia, Brazil;3. Instituto de Física, Universidade de Brasília, Campus Darcy Ribeiro, 70910-900 Brasília, DF, Brazil

Abstract:	In this work, we explore a new connection between quantum groups and Tsallis entropy through the energy spectrum of a Hamiltonian with S_U_q(2) $S U_{q} (2)$ symmetry. Identifying the deformation parameter of the entropy with the parameter of deformation of the associated quantum group, we deduce Tsallis entropy for states related to such a system with S_U_q(2) $S U_{q} (2)$ symmetry and conducted an investigation of quantum entanglement.

Keywords:	Tsallis entropy Quantum groups Entanglement
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