Results 21 to 30 of about 58,877 (128)
Cohomological aspects on complex and symplectic manifolds [PDF]
, 2016 We discuss how quantitative cohomological informations could provide qualitative properties on complex and symplectic manifolds. In particular we focus on the Bott-Chern and the Aeppli cohomology groups in both cases, since they represent useful tools in
A. Aeppli +22 more
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Symplectic Foliation Structures of Non-Equilibrium Thermodynamics as Dissipation Model: Application to Metriplectic Nonlinear Lindblad Quantum Master Equation. [PDF]
Entropy (Basel), 2022 The idea of a canonical ensemble from Gibbs has been extended by Jean-Marie Souriau for a symplectic manifold where a Lie group has a Hamiltonian action.
Barbaresco F.
europepmc +2 more sources
Symplectic geometry of entanglement [PDF]
, 2010 We present a description of entanglement in composite quantum systems in terms of symplectic geometry. We provide a symplectic characterization of sets of equally entangled states as orbits of group actions in the space of states.
A. Perelomov +19 more
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Generating functions in Symplectic Geometry
Pesquimat, 2019 In this work, we present a brief introduction to Symplectic Geometry relating its origin with the Physics. Then we present the formal definition of symplectic manifold and some important results, with this we consider a function AH;N defined in the ...
Josué Alonso Aguirre Enciso +1 more
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Virasoro entanglement Berry phases
Journal of High Energy Physics, 2022 We study the parallel transport of modular Hamiltonians encoding entanglement properties of a state. In the case of 2d CFT, we consider a change of state through action with a suitable diffeomorphism on the circle: one that diagonalizes the adjoint ...
Jan de Boer +5 more
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Symplectic Entropy as a Novel Measure for Complex Systems
Entropy, 2016 Real systems are often complex, nonlinear, and noisy in various fields, including mathematics, natural science, and social science. We present the symplectic entropy (SymEn) measure as well as an analysis method based on SymEn to estimate the ...
Min Lei +4 more
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Entropy, 2020 In this paper, we describe and exploit a geometric framework for Gibbs probability densities and the associated concepts in statistical mechanics, which unifies several earlier works on the subject, including Souriau’s symplectic model of statistical ...
Frédéric Barbaresco +1 more
doaj +1 more source
Gerbes in Geometry, Field Theory, and Quantisation
Complex Manifolds, 2021 This is a mostly self-contained survey article about bundle gerbes and some of their recent applications in geometry, field theory, and quantisation.
Bunk Severin
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Generalised Complex Geometry in Thermodynamical Fluctuation Theory
Entropy, 2015 We present a brief overview of some key concepts in the theory of generalized complex manifolds. This new geometry interpolates, so to speak, between symplectic geometry and complex geometry.
P. Fernández de Córdoba, J. M. Isidro
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Lagrangian Submanifolds of Symplectic Structures Induced by Divergence Functions
Entropy, 2020 Divergence functions play a relevant role in Information Geometry as they allow for the introduction of a Riemannian metric and a dual connection structure on a finite dimensional manifold of probability distributions.
Marco Favretti
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