Nonclassicality versus entanglement in a noncommutative space

DOI10.1142/S0217979216502489zbMath1355.81092arXiv1506.08901OpenAlexW1953233539MaRDI QIDQ2960209

Véronique Hussin, Sanjib Dey, Andreas Fring

Publication date: 8 February 2017

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08901

zbMATH Keywords

PT-symmetrycoherent statesentanglementminimal lengthSchrödinger cat statessqueezed statesgeneralized uncertainty relationnonclassicalitynoncommutative spacenon-Hermitian Hamiltonian systems

Mathematics Subject Classification ID

Coherent states (81R30) Noncommutative geometry in quantum theory (81R60) Quantum coherence, entanglement, quantum correlations (81P40)

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Cites Work

• Minimal length in quantum mechanics and non-Hermitian Hamiltonian systems
• Quasi-Hermitian operators in quantum mechanics and the variational principle
• The quantum structure of spacetime of the Planck scale and quantum fields
• Effects of quantum gravity on the inflationary parameters and thermodynamics of the early universe
• Nonclassical properties of the real and imaginary nonlinear Schrödinger cat states
• Even and odd nonlinear coherent states
• Even and odd nonlinear coherent states.
• Coherent states for arbitrary Lie group
• A comparative review of four formulations of noncommutative quantum mechanics
• Coherent states for systems with discrete and continuous spectrum
• On the Quantum Correction For Thermodynamic Equilibrium
• Squeezed Light
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• U(N) coherent states for loop quantum gravity
• Coherent and Incoherent States of the Radiation Field
• Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams

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