\(q\)-coherent states associated with the noncommutative complex plane \(\mathbb C_{q^2}\) for the Biedenharn-Macfarlane \(q\)-oscillator
DOI10.1016/j.aop.2017.09.012zbMath1377.81070OpenAlexW2759373695MaRDI QIDQ1692526
M. Sayyah-Fard, Hossein Fakhri
Publication date: 10 January 2018
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aop.2017.09.012
\(q\)-coherent statessqueezing effectsub-Poissonian statistics\(q\)-deformed unitary displacement operatorBiedenharn-Macfarlane \(q\)-oscillatorphoton antibunching
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) Noncommutative geometry in quantum theory (81R60)
Related Items (5)
Cites Work
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- Cat-states in the framework of Wigner-Heisenberg algebra
- The \(q\)-deformed harmonic oscillator, coherent states, and the uncertainty relation
- Applications of deformed oscillators
- Even and odd \(q\)-deformed charge coherent states and their nonclassical properties
- The general \(q\)-oscillator algebra and its coherent states
- Properties of the \(q\)-analogue of a squeezed vacuum state
- Maths-type \(q\)-deformed coherent states for \(q>1\)
- A diagonal representation of the quantum density matrix using \(q\)-boson oscillator coherent states
- Quantum squeezing.
- Pisot \(q\)-coherent states quantization of the harmonic oscillator
- Even and odd \(qs\)-coherent states and their photon-statistical properties
- Time-dependent squeezing and photon anti-bunching in squeezed even and odd coherent states.
- An uncertainty relation for the orbital angular momentum operator
- Comment on: ``Maths-type \(q\)-deformed coherent states for \(q>1\)
- New 'coherent' states associated with non-compact groups
- Coherent states for arbitrary Lie group
- Entangled coherent states for systems withSU(2) andSU(1,1) symmetries
- The symmetric q-oscillator algebra: q-coherent states, q-Bargmann–Fock realization and continuous q-Hermite polynomials with 0 < q < 1
- sl(2)-modules by sl(2)-coherent states
- Nonclassicality versus entanglement in a noncommutative space
- Arik–Coon q-oscillator cat states on the noncommutative complex plane ℂq−1 and their nonclassical properties
- On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)q
- The quantum group SUq(2) and a q-analogue of the boson operators
- Canonical Equations and Symmetry Techniques forq-Series
- Generalized q-bosons and their squeezed states
- On the quantum differential calculus and the quantum holomorphicity
- Coherent states for the quantum complex plane
- Newq-deformed coherent states with an explicitly known resolution of unity
- Two-modeSU(2) andSU(2) schrödinger cat states
- The Jaynes-Cummings Model with a q Analogue of a Coherent State
- Squeezing and quantum groups
- Maximal violation of Bell inequalities for mixed states
- Squeezed states for general systems
- Quantum optical implementation of Grover's algorithm
- Nonclassical properties of the Arik–Coon q−1-oscillator coherent states on the noncommutative complex plane ℂq
- New generalized coherent states
- Baker-Campbell-Hausdorff formulas
- su(1, 1)-Barut–Girardello coherent states for Landau levels
- An analogue of the unitary displacement operator for the q-oscillator
- Hilbert spaces of analytic functions and generalized coherent states
- Continuous-Representation Theory. I. Postulates of Continuous-Representation Theory
- Coherent and Incoherent States of the Radiation Field
- New even and odd nonlinear coherent states and their nonclassical properties
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