Time evolution of Renyi entropy under the Lindblad equation

Abstract

In recent years, the Renyi entropy has repeatedly been discussed for characterization of quantum critical states and entanglement. Here, time evolution of the Renyi entropy is studied. A compact general formula is presented for the lower bound on the entropy rate.

arXiv comment8 pages, no figures. Published version

References in corpus (6)

• Non-Markovian dynamics in open quantum systems
• Quantum Spin Chain, Toeplitz Determinants and Fisher-Hartwig Conjecture
• Stability of Tsallis antropy and instabilities of Renyi and normalized Tsallis entropies: A basis for q-exponential distributions
• Nonadditive Entropies Yield Probability Distributions with Biases not Warranted by the Data
• Mutual information and spontaneous symmetry breaking
• Anomalous behavior of q-averages in nonextensive statistical mechanics

Cited by in corpus (12)

• The Wigner Entropy Production Rate
• Lindbladian operators, von Neumann entropy and energy conservation in time-dependent quantum open systems
• Thermodynamic utility of Non-Markovianity from the perspective of resource interconversion
• Assessing non-Markovian dynamics through moments of the Choi state
• Non-equilibrium Dynamics of Renyi Entropy for Bosonic Many-Particle Systems
• Renyi-alpha entropies of quantum states in closed form: Gaussian states and a class of non-Gaussian states
• Derivation of density operators for generalized entropies with quantum analysis
• Weak invariants, temporally-local equilibria, and isoenergetic processes described by the Lindblad equation
• Quantum weak invariants: Dynamical evolution of fluctuations and correlations
• Growing fluctuation of quantum weak invariant and dissipation
• Derivation of the density operator with quantum analysis for the generalized Gibbs ensemble in quantum statistics
• Non-negative Wigner-like distributions and Renyi-Wigner entropies of arbitrary non-Gaussian quantum states: The thermal state of the one-dimensional box problem