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Universal parity effects in the entanglement entropy of XX chains with open boundary conditions
Universal parity effects entanglement entropy XX chains open boundary conditions
2010/11/11
We consider the Renyi entanglement entropies in the one-dimensional XX spin-chains with open boundary conditions in the presence of a magnetic field. In the case of a semi-infinite system and a block ...
Principle of Maximum Entropy and Ground Spaces of Local Hamiltonians
Principle Maximum Entropy Ground Spaces f Local Hamiltonians
2010/11/5
The structure of the ground spaces of quantum systems consisting of local interactions is of fundamental importance to different areas of physics. In this Letter, we present a necessary and sufficient...
Properties and upper continuity bounds of relative $q$-entropy for $1
Properties upper continuity bounds relative $q$-entropy $1
2010/11/9
The notion of quantum Tsallis relative $q$-entropy is extended to values $q>1$ in the finite-dimensional context. We examine basic properties including their treatment in the singular case. The nonneg...
Physicists in the US have gained important insights into the process of crystallization by studying how tiny plastic balls spontaneously form clusters. They found that highly symmetric clusters are cr...
Generalized entropy indices to measure α- and β-diversities of macrophytes
Diversity indices Ecology Generalized entropy
2010/7/5
A family of entropy indices constructed in the framework of Tsallis entropy formalism is used to investigate ecological diversity. It represents a new perspective in ecology because a simple equation ...
Nonadditive entropy and nonextensive statistical mechanics - An overview after 20 years
Nonadditive entropy Nonextensive statistical mechanics Complex systems Nonlinear dynamics
2010/7/5
Statistical mechanics constitutes one of the pillars of contemporary physics. Recognized as such — together with mechanics (classical, quantum, relativistic), electromagnetism and thermodynamics —, it...