Nonclassical'states in quantum optics: asqueezed'review of the first 75 years

VV Dodonov - Journal of Optics B: Quantum and Semiclassical …, 2002 - iopscience.iop.org
Seventy five years ago, three remarkable papers by Schrödinger, Kennard and Darwin were
published. They were devoted to the evolution of Gaussian wave packets for an oscillator, a …

Multiphoton quantum optics and quantum state engineering

F Dell'Anno, S De Siena, F Illuminati - Physics reports, 2006 - Elsevier
We present a review of theoretical and experimental aspects of multiphoton quantum optics.
Multiphoton processes occur and are important for many aspects of matter–radiation …

[PDF][PDF] Coherent States in Quantum Optics

JP Gazeau - Berlin: WileyVCH, 2009 - core.ac.uk
In this survey, various generalizations of Glauber–Sudarshan coherent 4 states are
described in a unified way, with their statistical properties and their 5 possible role in non …

A semiclasical justification for the use of non-spreading wavepackets in dynamics calculations

MF Herman, E Kluk - Chemical Physics, 1984 - Elsevier
A justification is given for the use of non-spreading or frozen gaussian packets in dynamics
calculations. In this work an initial wavefunction or quantum density operator is expanded in …

Coherent states via decoherence

WH Zurek, S Habib, JP Paz - Physical Review Letters, 1993 - APS
The rate at which pure initial states deteriorate into mixtures is computed for a harmonic
oscillator interacting with an environment in thermal equilibrium. The decoherence process …

The classical limit for quantum mechanical correlation functions

K Hepp - Communications in Mathematical Physics, 1974 - Springer
For quantum systems of finitely many particles as well as for boson quantum field theories,
the classical limit of the expectation values of products of Weyl operators, translated in time …

Continuous‐representation theory. I. Postulates of continuous‐representation theory

JR Klauder - Journal of Mathematical Physics, 1963 - pubs.aip.org
In a continuous representation of Hilbert space, each vector ψ is represented by a complex,
continuous, bounded function ψ (φ)≡(φ, ψ) defined on a set S of continuously many …

Coherent states for systems with discrete and continuous spectrum

JP Gazeau, JR Klauder - Journal of Physics A: Mathematical and …, 1999 - iopscience.iop.org
For a system with one degree of freedom, coherent states that are parametrized by classical
canonical action-angle variables are introduced. These states also possess continuity of …

Geometrical formulation of quantum mechanics

A Ashtekar, TA Schilling - On Einstein's Path: Essays in Honor of Engelbert …, 1999 - Springer
States of a quantum mechanical system are represented by rays in a complex Hilbert space.
The space of rays has, naturally, the structure of a Kahler manifold. This leads to a …

Path integrals and stationary-phase approximations

JR Klauder - Physical Review D, 1979 - APS
The general formalism for path integrals expressed in terms of an arbitrary continuous
representation (generalized coherent states) is applied to give c-number formulations for the …