Critical phenomenon of a consistent \(q\)-deformed squeezed state

DOI10.1006/aphy.2001.6138zbMath1011.81025arXivhep-th/0010176OpenAlexW3103369816MaRDI QIDQ5943772

Per Osland, Jian-Zu Zhang

Publication date: 17 September 2001

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0010176

zbMATH Keywords

Heisenberg algebra\(q\)-deformationsqueezed state

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Coherent states (81R30)

Related Items (7)

Q-deformed three-level quantum logic ⋮ Information quantifiers, entropy squeezing and entanglement properties of superconducting qubit-deformed bosonic field system under dephasing effect ⋮ Perturbative equivalent theorem in \(q\)-deformed dynamics ⋮ Quantum limits to estimation of photon deformation ⋮ Purely squeezed states for quantum deformed systems ⋮ Structures of \(q\)-deformed currents ⋮ \(q\)-deformed dynamics and virial theorem

Cites Work

• Quantum Lie superalgebras and q-oscillators
• A \(q\)-deformed uncertainty relation.
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• On the q oscillator and the quantum algebra su_q(1,1)
• Multi-mode q-coherent states
• Uncertainty relation in quantum mechanics with quantum group symmetry
• Squeezing via one-dimensional distribution of coherent states
• Double squeezing in generalized q-coherent states
• On the zeros of the q-analogue exponential function
• Hilbert spaces of analytic functions and generalized coherent states
• Spectrum of \(q\)-deformed Schrödinger equation.

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