Nonadditive entropy for random quantum spin-S chains

Abstract

We investigate the scaling of Tsallis entropy in disordered quantum spin-S chains. We show that an extensive scaling occurs for specific values of the entropic index. Those values depend only on the magnitude S of the spins, being directly related with the effective central charge associated with the model.

5 pages, 7 figures. v3: Minor corrections and references updated. Published version

References in corpus (9)

• Superdiffusion and non-Gaussian statistics in a driven-dissipative 2D dusty plasma
• Parity effects in the scaling of block entanglement in gapless spin chains
• Scaling of Entanglement Entropy in the Random Singlet Phase
• Infinite matrix product states, Conformal Field Theory and the Haldane-Shastry model
• Criticality and entanglement in random quantum systems
• Entanglement entropy at infinite randomness fixed points in higher dimensions
• Entanglement entropy of the random spin-1 Heisenberg chain
• Increasing entanglement through engineered disorder in the random Ising chain
• Entanglement Entropy in Random Quantum Spin-S Chains

Cited by in corpus (18)

• Black hole thermodynamical entropy
• Non-extensive Statistical Mechanics and Black Hole Entropy From Quantum Geometry
• When do generalized entropies apply? How phase space volume determines entropy
• Strong Disorder RG approach - a short review of recent developments
• Entanglement spectrum of random-singlet quantum critical points
• Reply to Comment on "Towards a large deviation theory for strongly correlated systems"
• Loop Quantum Gravity Immirzi parameter and the Kaniadakis statistics
• Non-extensive Statistical Mechanics and the Thermodynamic Stability of FRW Universe
• Thermodynamics is more powerful than the role to it reserved by Boltzmann-Gibbs statistical mechanics
• Approach of complexity in nature: Entropic nonuniqueness
• Perturbative Thermodynamic Geometry of Nonextensive Ideal Classical, Bose and Fermi Gases
• Nonequilibrium statistical operator method in the Renyi statistics
• Inter-occurrence times and universal laws in finance, earthquakes and genomes
• Some Open Points in Nonextensive Statistical Mechanics
• Tsallis' entropy, modified Newtonian accelerations and the Tully-Fisher relation
• Long memory constitutes a unified mesoscopic mechanism consistent with nonextensive statistical mechanics
• An introduction to nonadditive entropies and a thermostatistical approach of inanimate and living matter
• Limit distribution in the $q$-CLT for $q\ge 1$ can not have a compact support