The variational method for density states a geometrical approach

DOI10.1088/1751-8121/aa84bazbMath1375.81036OpenAlexW2744101518MaRDI QIDQ4588403

Armando Figueroa, Octavio Castaños, Ramón López-Peña, Giuseppe Marmo

Publication date: 26 October 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8121/aa84ba

zbMATH Keywords

density matrixvariational methodgeometrical approach

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Measures of information, entropy (94A17) Variational principles of physics (49S05) Quantum state spaces, operational and probabilistic concepts (81P16)

Cites Work

• Unnamed Item
• Rényi entropy and quantum phase transition in the Dicke model
• Entanglement and localization of a two-mode Bose-Einstein condensate
• Geometry of the time-dependent variational principle in quantum mechanics
• Geometric phases and related structures
• The Bloch vector for \(N\)-level systems
• Symplectic tomography as classical approach to quantum systems.
• Positive distribution description for spin states.
• A semi-classical versus quantum description of the ground state of three-level atoms interacting with a one-mode electromagnetic field
• An introduction to the tomographic picture of quantum mechanics
• Kernel of star-product for spin tomograms
• Squeeze tomography of quantum states
• From Classical to Quantum Mechanics
• Algebraic approach to two-dimensional systems: Shape phase transitions, monodromy, and thermodynamic quantities
• Geometry from Dynamics, Classical and Quantum
• Entropy–energy inequalities for qudit states

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