Theory of Nonclassical States of Light. (2014)

• Record Type: Book
• Further Information: Note: Editors, V.V. Dodonov, V.I. Man'ko.
• Editors: Dodonov, V. V; Man'ko, V. I
• Contents: Cover; Title Page; Copyright Page; Contents; Preface; List of authors; 1 ""Nonclassical"" states in quantum physics: brief historical review V. V Dodonov, V I Man'ko; 1 Introduction; 2 First 50 years; 2.1 Childhood of squeezed states; 2.2 Non-Gaussian oscillator states; 2.3 Coherent phase states; 2.4 Coherent states for arbitrary algebras; 2.5 ""Intelligent"" and ""minimum uncertainty"" states; 3 ""Ugly duckling"" turns into a ""beautiful swan; 3.1 Maturity of squeezed states; 3.2 Non-Gaussian states; 3.3 Appearance of ""deformations"" and related states 4 Flourishing of ""nonclassical states4.1 New quantum superpositions; 4.2 Zoo of nonclassical states; 4.3 Measures of squeezing and nonclassicality; Bibliography; 2 Squeezed states; 1 Introduction; 2 Symplectic group of squeezing operators; 2.1 Lie algebra to symplectic group in boson realization; 2.3 Fundamental two-dimensional representation; 2.2 Killing form and Casimir operator; 2.4 Inversion of the fundamental representation; 2.5 Fundamental representation and canonical operators; 2.6 Ordering problems of squeezing operators; 3 Representations of squeezed states 3.1 Squeezed coherent states in unitary approach3.2 Squeezed coherent states in nonunitary approach; 3.3 Eigenvalue equations to squeezed coherent states; 3.4 Fock-state expansion, scalar products and distances; 3.5 Bargmann representation and Husimi function; 3.6 Position and momentum representations; 3.7 Limiting cases of squeezed coherent states: eigenstates of rotated canonical operators; 3.8 Moments of boson and canonical operators; 3.9 Photon statistics of squeezed coherent states; 4 Quasiprobabilities and uncertainties; 4.1 Wigner quasiprobability, Fourier and Radon transforms 4.2 Transformations of the Wigner quasiprobability4.3 Wigner function for displaced squeezed thermal states; 4.4 Husimi and Glauber-Sudarshan quasiprobabilities; 4.5 Uncertainty relations and variance matrix; 4.6 Moments up to second order and variance matrix; 4.7 Second-order squeezing; 4.8 An important two-mode realization of 517(1, 1); 5 Conclusion; Bibliography; 3 Parametric excitation and generation of nonclassical states in linear media V V Dodonov; 1 Introduction; 2 Propagators and evolution operators; 2.1 Propagators and integrals of motion; 2.2 Single mode: quadrature representation 2.3 Single mode: coherent state representation2.4 Multimode systems; 2.5 Canonical transformations and evolution operators; 2.6 Wigner-Weyl representation; 3 Evolution of pure states; 3.1 Squeezed states as generalized coherent states; 3.2 One-mode case: correlated states and geometric phase; 3.3 Traps and coupled oscillators; 3.4 Generalized Fock states and quantum invariants; 4 Evolution of mixed states; 4.1 Gaussian Wigner functions and density matrices; 4.2 Evolution of density matrices of linear systems; 4.3 Propagators of the Fokker-Planck equation; 4.4 Discrete (Fock) representation
• Publisher Details: Boca Raton, FL : CRC Press
• Publication Date: 2014
• Extent: 1 online resource
• Subjects: 535.1/5; Optoelectronics; Physics; Optoelectronics; Physics; Electronic books
• Languages: English
• ISBNs: 9781482288223; 1482288222
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.