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Table of Contents
Intro
Foreword
Acknowledgement
Authors biographies
Jonas Larson
Themistoklis Mavrogordatos
Introduction
References
Chapter 1 Theoretical aspects
1.1 The Jaynes-Cummings model
1.2 Jaynes-Cummings dynamics
1.2.1 General solution and remarks
1.2.2 Collapse-revival
1.2.3 Semiclassical regime and the classical limit
1.2.4 Entanglement
1.2.5 Squeezing
1.3 Driven and open Jaynes-Cummings physics
1.3.1 Field or atom driving
1.3.2 Applying the open systems formalism
1.3.3 Quantum fluctuations and criticality: photon blockade and its breakdown
1.4 Beyond the rotating wave approximation: the quantum Rabi model
1.4.1 Effect of counter rotating terms, the ultrastrong coupling regime
1.4.2 Analytical approximations
1.4.3 Integrability of the quantum Rabi model
1.5 Extended Jaynes-Cummings models
1.5.1 Kerr medium and intensity dependent or multi-photon couplings
1.5.2 Multimode and multi-level atoms
1.5.3 Time-dependent and adiabatic Jaynes-Cummings models
1.5.4 Quantized atomic motion
1.5.5 The Dicke and Tavis-Cummings models
1.5.6 'Poor man's models'
1.6 Extended Jaynes-Cummings models turned into single particle lattice problems
1.6.1 Fock-state lattices of single-mode models
1.6.2 Fock-state lattices of multimode models
1.6.3 Fractal spectra
1.6.4 State transfer and edge states
1.7 Review of the approximations underlying the JC model
1.7.1 Electric dipole approximation
1.7.2 Single-mode approximation
1.7.3 Two-level approximation
1.7.4 Rotating-wave approximation
1.7.5 Neglecting the self-energy diamagnetic term
1.7.6 Neglecting the kinetic energy term
1.7.7 Neglecting losses
References
Chapter 2 Cavity QED
2.1 Early results and predictions
2.1.1 Optical bistability
2.1.2 The micromaser.
2.2 Cavity-induced atomic forces
2.3 State preparation
2.3.1 Fock states
2.3.2 Schrödinger cat states
2.3.3 Entangled states
2.4 State tomography
2.5 Quantum information processing
2.6 Quantum fluctuations and coherence in the weak-excitation limit
References
Chapter 3 Circuit QED
3.1 From the Cooper pair box to the transmon qubit: the generalized Jaynes-Cummings model
3.2 Engineering the coupling strength
3.3 Mitigating dispersion and decoherence
3.4 The (generalized) JC nonlinearity and spectrum revisited in the light of circuit QED
3.5 Control and transfer of quantum information in circuit QED
References
Chapter 4 Trapped ions
4.1 Model Hamiltonians
4.2 State preparation and tomography
4.3 Quantum information processing
4.4 Further aspects and perspectives
References
Chapter 5 Waveguide QED
5.1 Atomic emission in the vicinity of an interface
5.2 Circuit QED revisited
5.3 Light-matter interaction in a 1D waveguide: a continuum for correlated photon states
5.4 Interaction with matter in nanowire plasmons
References
Chapter 6 Alternative physical systems
6.1 Nitrogen vacancy centers
6.2 Strong coupling in photonic crystals
6.3 Hybrid systems: from nanomechanics to atomic ensembles
References
Chapter 7 Extensions to many-body configurations and additional degrees of freedom
7.1 Jaynes-Cummings-Hubbard models
7.2 Many-body cavity QED
7.2.1 Mean-field explorations
7.2.2 Critical phenomena I-bosons
7.2.3 Critical phenomena II-fermions
7.3 Polaritonic chemistry
7.3.1 Born-Oppenheimer theory
7.3.2 Molecular JC Hamiltonian
References
Conclusions 8 A projection for the coming decades
References
Index.
Foreword
Acknowledgement
Authors biographies
Jonas Larson
Themistoklis Mavrogordatos
Introduction
References
Chapter 1 Theoretical aspects
1.1 The Jaynes-Cummings model
1.2 Jaynes-Cummings dynamics
1.2.1 General solution and remarks
1.2.2 Collapse-revival
1.2.3 Semiclassical regime and the classical limit
1.2.4 Entanglement
1.2.5 Squeezing
1.3 Driven and open Jaynes-Cummings physics
1.3.1 Field or atom driving
1.3.2 Applying the open systems formalism
1.3.3 Quantum fluctuations and criticality: photon blockade and its breakdown
1.4 Beyond the rotating wave approximation: the quantum Rabi model
1.4.1 Effect of counter rotating terms, the ultrastrong coupling regime
1.4.2 Analytical approximations
1.4.3 Integrability of the quantum Rabi model
1.5 Extended Jaynes-Cummings models
1.5.1 Kerr medium and intensity dependent or multi-photon couplings
1.5.2 Multimode and multi-level atoms
1.5.3 Time-dependent and adiabatic Jaynes-Cummings models
1.5.4 Quantized atomic motion
1.5.5 The Dicke and Tavis-Cummings models
1.5.6 'Poor man's models'
1.6 Extended Jaynes-Cummings models turned into single particle lattice problems
1.6.1 Fock-state lattices of single-mode models
1.6.2 Fock-state lattices of multimode models
1.6.3 Fractal spectra
1.6.4 State transfer and edge states
1.7 Review of the approximations underlying the JC model
1.7.1 Electric dipole approximation
1.7.2 Single-mode approximation
1.7.3 Two-level approximation
1.7.4 Rotating-wave approximation
1.7.5 Neglecting the self-energy diamagnetic term
1.7.6 Neglecting the kinetic energy term
1.7.7 Neglecting losses
References
Chapter 2 Cavity QED
2.1 Early results and predictions
2.1.1 Optical bistability
2.1.2 The micromaser.
2.2 Cavity-induced atomic forces
2.3 State preparation
2.3.1 Fock states
2.3.2 Schrödinger cat states
2.3.3 Entangled states
2.4 State tomography
2.5 Quantum information processing
2.6 Quantum fluctuations and coherence in the weak-excitation limit
References
Chapter 3 Circuit QED
3.1 From the Cooper pair box to the transmon qubit: the generalized Jaynes-Cummings model
3.2 Engineering the coupling strength
3.3 Mitigating dispersion and decoherence
3.4 The (generalized) JC nonlinearity and spectrum revisited in the light of circuit QED
3.5 Control and transfer of quantum information in circuit QED
References
Chapter 4 Trapped ions
4.1 Model Hamiltonians
4.2 State preparation and tomography
4.3 Quantum information processing
4.4 Further aspects and perspectives
References
Chapter 5 Waveguide QED
5.1 Atomic emission in the vicinity of an interface
5.2 Circuit QED revisited
5.3 Light-matter interaction in a 1D waveguide: a continuum for correlated photon states
5.4 Interaction with matter in nanowire plasmons
References
Chapter 6 Alternative physical systems
6.1 Nitrogen vacancy centers
6.2 Strong coupling in photonic crystals
6.3 Hybrid systems: from nanomechanics to atomic ensembles
References
Chapter 7 Extensions to many-body configurations and additional degrees of freedom
7.1 Jaynes-Cummings-Hubbard models
7.2 Many-body cavity QED
7.2.1 Mean-field explorations
7.2.2 Critical phenomena I-bosons
7.2.3 Critical phenomena II-fermions
7.3 Polaritonic chemistry
7.3.1 Born-Oppenheimer theory
7.3.2 Molecular JC Hamiltonian
References
Conclusions 8 A projection for the coming decades
References
Index.