Generalized intelligent states and squeezing

DOI10.1063/1.530553zbMath0824.47056OpenAlexW1980520970MaRDI QIDQ4314215

Dimitar A. Trifonov

Publication date: 9 November 1995

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

Full work available at URL: https://doi.org/10.1063/1.530553

zbMATH Keywords

Hamiltonianssemisimple Lie groupeigenstatesRobertson-Schrödinger uncertainty relationgeneralized intelligent statesquadratures of the Weyl generatorsstrong squeezing

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Electromagnetic interaction; quantum electrodynamics (81V10) Applications of Lie groups to the sciences; explicit representations (22E70) Coherent states (81R30)

Related Items (19)

INTELLIGENT STATES FOR AN INTERPOLATING ALGEBRA ⋮ Generalized coherent and intelligent states for exact solvable quantum systems ⋮ Analytic representations based on su(3) coherent states and Robertson intelligent states ⋮ \(SU(2)\) and \(SU(1,1)\) algebra eigenstates: A unified analytic approach to coherent and intelligent states ⋮ Uncertainty relations for a \(q\)-deformed coherent spin state ⋮ Robertson–Schrödinger uncertainty relation for qubits: a visual approach ⋮ Uncertainty relations in quantum optics. Is the photon intelligent? ⋮ \(\mathrm{SU}(1,1)\) and \(\mathrm{SU}(2)\) approaches to the radial oscillator: generalized coherent states and squeezing of variances ⋮ Canonical coherent states for the relativistic harmonic oscillator ⋮ High-accuracy \(\text{SU}(1,1)\) interferometers with minimum-uncertainty input states ⋮ A volume inequality for quantum Fisher information and the uncertainty principle ⋮ A Robertson-type uncertainty principle and quantum Fisher information ⋮ A dynamical uncertainty principle in von Neumann algebras by operator monotone functions ⋮ Coherent states à la Klauder-Perelomov for the Pöschl-Teller potentials ⋮ The algebra eigenstates method for some systems with spin-like interactions ⋮ A Squeezed Review on Coherent States and Nonclassicality for Non-Hermitian Systems with Minimal Length ⋮ Time-evolution of squeezed coherent states of a generalized quantum parametric oscillator ⋮ SU(1, 1) and SU(2) Perelomov number coherent states: algebraic approach for general systems ⋮ Generalized phase states and dynamics of generalized coherent states

Cites Work

• The classical limit of quantum spin systems
• New 'coherent' states associated with non-compact groups
• Coherent states for arbitrary Lie group
• Displaced and Squeezed Fock States
• SU(1,1) Squeezing of SU(1,1) Generalized Coherent States
• On the Quantum Mechanics of Squeezed States
• Squeezed Light
• Completeness and geometry of Schrödinger minimum uncertainty states

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