Quantum geometric information flows and relativistic generalizations of G. Perelman thermodynamics for nonholonomic Einstein systems with black holes and stationary solitonic hierarchies
Sign Up to like & getrecommendations! Published in 2022 at "Quantum Information Processing"
DOI: 10.1007/s11128-021-03287-7
Abstract: We investigate classical and quantum geometric information flow theories (GIFs and QGIFs) when the geometric flow evolution and field equations for nonholonomic Einstein systems, NES, are derived from Perelman–Lyapunov-type entropic-type functionals. The term NES encodes… read more here.
Keywords: nonholonomic einstein; quantum geometric; information; thermodynamics ... See more keywords
Quantum geometric perspective on the origin of quantum-conditioned curvatures
Sign Up to like & getrecommendations! Published in 2024 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/ad7451
Abstract: The quantization of the gravitational field, which includes the metric field, has been investigated using various methods such as loop quantum gravity, quantum field theory, and string theory. Nevertheless, an alternative strategy to tackle the… read more here.
Keywords: conditioned curvatures; quantum conditioned; quantum geometric; geometric perspective ... See more keywords
N-bein formalism for the parameter space of quantum geometry
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ad6f7f
Abstract: This work introduces a geometrical object that generalizes the quantum geometric tensor; we call it N-bein. Analogous to the vielbein (orthonormal frame) used in the Cartan formalism, the N-bein behaves like a ‘square root’ of… read more here.
Keywords: tensor; formalism; parameter; quantum geometric ... See more keywords
Quantum geometric tensor and critical metrology in the anisotropic Dicke model
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DOI: 10.1103/physreva.109.052621
Abstract: We investigate the quantum phase transition in the anisotropic Dicke model through an examination of the quantum geometric tensor of the ground state. In this analysis, two distinct classical limits exhibit their unique anisotropic characteristics.… read more here.
Keywords: dicke model; metrology; anisotropic dicke; quantum geometric ... See more keywords
Quantum Fluctuation of the Quantum Geometric Tensor and Its Manifestation as Intrinsic Hall Signatures in Time-Reversal Invariant Systems.
Sign Up to like & getrecommendations! Published in 2023 at "Physical review letters"
DOI: 10.1103/physrevlett.130.036202
Abstract: In time-reversal invariant systems, all charge Hall effects predicted so far are extrinsic effects due to the dependence on the relaxation time. We explore intrinsic Hall signatures by studying the quantum noise spectrum of the… read more here.
Keywords: quantum geometric; time; geometric tensor; hall ... See more keywords
Quantum Geometric Kohn-Luttinger Superconductivity.
Sign Up to like & getrecommendations! Published in 2024 at "Physical review letters"
DOI: 10.1103/physrevlett.134.176001
Abstract: Coulomb repulsion can, counterintuitively, mediate Cooper pairing via the Kohn-Luttinger mechanism. However, it is commonly believed that observability of the effect requires special circumstances, e.g., vicinity of the Fermi level to Van Hove singularities, significant… read more here.
Keywords: quantum geometric; kohn luttinger; superconductivity; geometry ... See more keywords
Kaluza–Klein gravity and cosmology emerging from G. Perelman’s entropy functionals and quantum geometric information flows
Sign Up to like & getrecommendations! Published in 2021 at "European Physical Journal Plus"
DOI: 10.1140/epjp/s13360-021-01117-4
Abstract: We elaborate on quantum geometric information flows, QGIFs, and emergent (modified) Einstein–Maxwell and Kaluza–Klein, KK, theories formulated in Lagrange–Hamilton and general covariant variables. There are considered nonholonomic deformations of Grigory Perelman’s F- and W-functionals (originally… read more here.
Keywords: information flows; entropy; geometric information; cosmology ... See more keywords