Web21 Feb 2024 · We show that the Rényi entanglement entropy can be extracted efficiently within the DMFT framework by integrating over the strength of the kick term. Using this method, we compute the second Rényi entropy as a function of subsystem size for metallic and Mott insulating phases of the Hubbard model. Web24 Apr 2024 · Hi good question. Getting the von Neumann entropy of a mixed state \rho which is in the form of an MPO is not an easy task, and how best to do it is somewhat of an open research question. But obtaining the Renyi entropy, especially the second Renyi entropy S_2 is something straightforwardly computable with MPOs.. For others reading …

[2012.00223] Entropy Linear Response Theory with Non

As α approaches zero, the Rényi entropy increasingly weighs all events with nonzero probability more equally, regardless of their probabilities. In the limit for α → 0, the Rényi entropy is just the logarithm of the size of the support of X. The limit for α → 1 is the Shannon entropy. As α approaches infinity, the Rényi … See more In information theory, the Rényi entropy is a quantity that generalizes various notions of entropy, including Hartley entropy, Shannon entropy, collision entropy, and min-entropy. The Rényi entropy is named after See more The value α = 1, which gives the Shannon entropy and the Kullback–Leibler divergence, is special because it is only at α = 1 that the chain rule of conditional probability holds exactly: for the absolute … See more The Rényi entropy in quantum physics is not considered to be an observable, due to its nonlinear dependence on the density matrix. (This … See more • Diversity indices • Tsallis entropy • Generalized entropy index See more The Rényi entropy of order $${\displaystyle \alpha }$$, where $${\displaystyle \alpha \geq 0}$$ and $${\displaystyle \alpha \neq 1}$$, is defined as See more As well as the absolute Rényi entropies, Rényi also defined a spectrum of divergence measures generalising the Kullback–Leibler divergence. The Rényi divergence of order α or alpha-divergence of a distribution P from a distribution Q is … See more The Rényi entropies and divergences for an exponential family admit simple expressions and where See more Web21 Oct 2024 · Utilizing an approximate relation between the dynamics of the second Rényi entropy and the Lindblad spectrum, we show that these two energy scales respectively … nancy sloan bold and beautiful

Rényi entropy in noninteracting large-N model: Second Rényi entropy…

WebThe second entropy is introduced, which is a new type of entropy that provides a basis for the non-equilibrium thermodynamics of time-dependent systems. Whereas the first or … Web16 Jul 2024 · The Rényi entropies are a family of entropy measures that includes the well-known Shannon entropy along with a bunch of other more obscure ones that sometimes crop up. For simplicity I’m going to use an example of a system with four states. The probabilities of being in each state are labelled, for example, [0.2,0.1,0.3,0.4] [ 0.2, 0.1, 0.3, … WebWe study the class of self-similar probability density functions with finite mean and variance, which maximize Rényi’s entropy. The investigation is restricted in the Schwartz space … nancy sloanhoffer