Dynamical quantum ergodicity from energy level statistics
A Vikram, V Galitski - Physical Review Research, 2023 - APS
Ergodic theory provides a rigorous mathematical description of chaos in classical dynamical
systems, including a formal definition of the ergodic hierarchy. How ergodic dynamics is …
systems, including a formal definition of the ergodic hierarchy. How ergodic dynamics is …
Quantum coarse-grained entropy and thermalization in closed systems
D Šafránek, JM Deutsch, A Aguirre - Physical Review A, 2019 - APS
We investigate the detailed properties of observational entropy, introduced by Šafránek et
al.[Phys. Rev. A 99, 010101 (2019) 10.1103/PhysRevA. 99.010101] as a generalization of …
al.[Phys. Rev. A 99, 010101 (2019) 10.1103/PhysRevA. 99.010101] as a generalization of …
Ergodic theory of diagonal orthogonal covariant quantum channels
We analyze the ergodic properties of quantum channels that are covariant with respect to
diagonal orthogonal transformations. We prove that the ergodic behaviour of a channel in …
diagonal orthogonal transformations. We prove that the ergodic behaviour of a channel in …
Microscope for quantum dynamics with Planck cell resolution
We introduce the out-of-time-correlation (OTOC) with the Planck cell resolution. The
dependence of this OTOC on the initial state makes it function like a microscope, allowing us …
dependence of this OTOC on the initial state makes it function like a microscope, allowing us …
Ergodicity in randomly perturbed quantum systems
S Gherardini, C Lovecchio, MM Müller… - Quantum Science …, 2017 - iopscience.iop.org
The theoretical cornerstone of statistical mechanics is the ergodic assumption, ie the
assumption that the time average of an observable equals its ensemble average. Here, we …
assumption that the time average of an observable equals its ensemble average. Here, we …
Quantum chaos and physical distance between quantum states
We show that there is genuine chaos in quantum dynamics by introducing a physical
distance between two quantum states. Qualitatively different from existing distances for …
distance between two quantum states. Qualitatively different from existing distances for …
Self-similarity among energy eigenstates
Z Zhang, Z Wang, B Wu - Physical Review E, 2023 - APS
In a quantum system, different energy eigenstates have different properties or features,
allowing us to define a classifier to divide them into different groups. We find that the ratio of …
allowing us to define a classifier to divide them into different groups. We find that the ratio of …
Thermalization of noninteracting quantum systems coupled to blackbody radiation: A Lindblad-based analysis
M Ostilli, C Presilla - Physical Review A, 2017 - APS
We study the thermalization of an ensemble of N elementary, arbitrarily complex, quantum
systems, mutually noninteracting but coupled as electric or magnetic dipoles to a blackbody …
systems, mutually noninteracting but coupled as electric or magnetic dipoles to a blackbody …
Generalized Wigner–von Neumann entropy and its typicality
Z Hu, Z Wang, B Wu - Physical Review E, 2019 - APS
We propose a generalization of the quantum entropy introduced by Wigner and von
Neumann [Z. Phys. 57, 30 (1929) 10.1007/BF01339852]. Our generalization is applicable to …
Neumann [Z. Phys. 57, 30 (1929) 10.1007/BF01339852]. Our generalization is applicable to …
On second hyper-zagreb index of corona products related to R-graphs
I Sarkar, M Nanjappa - International Journal of Applied Mathematics, 2023 - diogenes.bg
The cognitive and evidential features of the graph discipline are significantly influenced by
the implementation of graph operations. Molecular descriptor acts as a fundamental network …
the implementation of graph operations. Molecular descriptor acts as a fundamental network …