Entangled state representations in quantum optics

Entangled state representations in quantum optics / Xiang-Guo Meng, Ji-Suo Wang, Bao-Long Liang.

This book highlights the applications of continuous-variable entangled state representations in the research areas of quantum optics via the integration method within an ordered product of operators (IWOP). As a way to develop the Diracs symbolic method, the IWOP method has made the integration of n...

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Bibliographic Details
Main Author: Meng, Xiang-Guo
Other Authors: Wang, Ji-Suo, Liang, Bao-Long
Format: eBook
Language:English
Published: Singapore : Springer, 2023.
Subjects:
Quantum optics.
Quantum entanglement.
Quantum entanglement
Quantum optics
Online Access:Click for online access
Table of Contents:
  • Intro
  • Preface
  • Contents
  • 1 Integration Method Within an Ordered Product of Operators and Continuous-Variable Entangled State Representations
  • 1.1 Integration Method Within an Ordered Product of Operators
  • 1.1.1 Normal Ordering Case
  • 1.1.2 Anti-normal Ordering Case
  • 1.1.3 Weyl Ordering Case
  • 1.2 Two-Particle Entangled State Representation
  • 1.3 Thermal Entangled State Representation
  • 1.3.1 Bosonic Case
  • 1.3.2 Fermionic Case
  • References
  • 2 Dynamics of Two-Body Hamiltonian Systems
  • 2.1 Energy-Level Distribution and Wave Function of Two-Body Hamiltonian System
  • 2.1.1 Two Moving Charged Particles with Elastic Coupling
  • 2.1.2 Two Moving Charged Particles with Coulomb Coupling
  • 2.2 Path Integral Theory in Entangled State Representation
  • 2.3 Evolution of Atomic Coherent State Governed by the Hamiltonian ...
  • 2.4 Atomic Coherent States as Energy Eigenstates of the Hamiltonian ...
  • References
  • 3 New Bipartite Entangled States in Two-Mode Fock Space
  • 3.1 Coherent-Entangled States
  • 3.2 Entangled States Describing Parametric Down Conversion
  • 3.3 Parameterized Entangled States Induced by the Common Eigenstates ...
  • 3.4 Parameterized Entangled States as the Common Eigenstates ...
  • References
  • 4 Solutions of Density Operator Master Equations
  • 4.1 Solutions of Several Boson Master Equations
  • 4.1.1 Diffusion Master Equation Under Linear Resonance Force
  • 4.1.2 Master Equation for Single-Mode Cavity Driven by Oscillating External Field in a Heat Reservoir
  • 4.1.3 Master Equation for Damped Harmonic Oscillator Acted by Linear Resonance Force in a Squeezed Heat Reservoir
  • 4.1.4 Master Equation Describing a Diffusive Anharmonic Oscillator
  • 4.2 Solutions of Several Fermi Quantum Master Equations
  • 4.2.1 Fermi Master Equations for Amplitude Damping and Phase Damping
  • 4.2.2 Master Equation for Fermi Heat Reservoir
  • 4.3 Generation of Displaced Thermal State
  • References
  • 5 Wigner Distribution Function and Quantum Tomogram via Entangled State Representations
  • 5.1 Wigner Distribution Functions
  • 5.1.1 Wigner Operator Theory
  • 5.1.2 Wigner Distribution Functions for Quantum States
  • 5.2 Quantum-state Tomography
  • 5.2.1 Quantum Tomography
  • 5.2.2 Quantum Tomograms of Quantum States
  • References
  • 6 Evolution and Decoherence of Quantum States in Open Systems
  • 6.1 Evolution of Quantum States in the Amplitude Damping Channel
  • 6.1.1 Displaced Thermal States
  • 6.1.2 Thermal-State Superpositions
  • 6.1.3 Two-Mode Squeezed Vacuum States
  • 6.2 Evolution of Quantum States in the Laser Process
  • 6.2.1 Squeezed Number States
  • 6.2.2 Squeezed Thermal States
  • 6.2.3 Multi-photon Subtracted Squeezed Vacuum States
  • 6.2.4 Multi-photon Added Two-Mode Squeezed Thermal States
  • References
  • 7 Generalized Binomial Theorems and Multi-variable Special Polynomials Involving Hermite Polynomials
  • 7.1 Generalized Binomial Theorems Involving Hermite Polynomials

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