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:
Online Access:Click for online access

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024 7 |a 10.1007/978-981-99-2333-5  |2 doi 
035 |a (OCoLC)1390922812  |z (OCoLC)1390774491 
050 4 |a QC446.2  |b .M46 2023 
049 |a HCDD 
100 1 |a Meng, Xiang-Guo. 
245 1 0 |a Entangled state representations in quantum optics /  |c Xiang-Guo Meng, Ji-Suo Wang, Bao-Long Liang. 
260 |a Singapore :  |b Springer,  |c 2023. 
300 |a 1 online resource (289 p.) 
505 0 |a 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 
505 8 |a 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 ... 
505 8 |a 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 
505 8 |a 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 
505 8 |a 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 
500 |a 7.2 Multi-variable Special Polynomials and Their Generating Functions 
520 |a 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 non-commutative operators possible by arranging non-commutable operators within an ordered product symbol. It not only deals with many existent quantum optics problems but also explores new research fields. The book also establishes a theoretical framework for solving important quantum optics subjects by taking full advantage of the entangled state representations. With original methods and detailed descriptions, the book is suitable for researchers, instructors, and students interested in quantum mechanics, quantum optics, and quantum information science. 
588 0 |a Print version record. 
650 0 |a Quantum optics. 
650 0 |a Quantum entanglement. 
650 7 |a Quantum entanglement  |2 fast 
650 7 |a Quantum optics  |2 fast 
700 1 |a Wang, Ji-Suo. 
700 1 |a Liang, Bao-Long. 
776 0 8 |i Print version:  |a Meng, Xiang-Guo  |t Entangled State Representations in Quantum Optics  |d Singapore : Springer,c2023  |z 9789819923328 
856 4 0 |u https://holycross.idm.oclc.org/login?auth=cas&url=https://link.springer.com/10.1007/978-981-99-2333-5  |y Click for online access 
903 |a SPRING-ALL2023 
994 |a 92  |b HCD