| Foreword |
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xiii | |
| Acknowledgement |
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xvi | |
| Authors biographies |
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xviii | |
| Introduction |
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xix | |
| 1 Theoretical aspects |
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1-1 | (1) |
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1.1 The Jaynes-Cummings model |
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1-2 | (1) |
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1.2 Jaynes-Cummings dynamics |
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1-7 | (1) |
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1.2.1 General solution and remarks |
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1-7 | (1) |
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1-17 | (1) |
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1.2.3 Semiclassical regime and the classical limit |
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1-20 | (1) |
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1-25 | (1) |
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1-29 | (1) |
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1.3 Driven and open Jaynes-Cummings physics |
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1-31 | (1) |
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1.3.1 Field or atom driving |
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1-31 | (1) |
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1.3.2 Applying the open systems formalism |
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1-37 | (1) |
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1.3.3 Quantum fluctuations and criticality: photon blockade and its breakdown |
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1-43 | (1) |
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1.4 Beyond the rotating wave approximation: the quantum Rabi model |
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1-49 | (1) |
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1.4.1 Effect of counter rotating terms, the ultrastrong coupling regime |
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1-54 | (1) |
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1.4.2 Analytical approximations |
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1-56 | (1) |
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1.4.3 Integrability of the quantum Rabi model |
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1-58 | (1) |
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1.5 Extended Jaynes-Cummings models |
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1-63 | (1) |
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1.5.1 Kerr medium and intensity dependent or multi-photon couplings |
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1-63 | (1) |
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1.5.2 Multimode and multi-level atoms |
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1-64 | (1) |
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1.5.3 Time-dependent and adiabatic Jaynes-Cummings models |
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1-72 | (1) |
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1.5.4 Quantized atomic motion |
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1-78 | (1) |
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1.5.5 The Dicke and Tavis-Cummings models |
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1-86 | (1) |
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1.5.6 'Poor man's models' |
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1-115 | (1) |
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1.6 Extended Jaynes-Cummings models turned into single particle lattice problems |
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1-117 | (1) |
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1.6.1 Fock-state lattices of single-mode models |
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1-117 | (1) |
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1.6.2 Fock state lattices of multimode models |
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1-121 | (1) |
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1-123 | (1) |
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1.6.4 State transfer and edge states |
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1-125 | (1) |
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1.7 Review of the approximations underlying the JC model |
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1-130 | (1) |
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1.7.1 Electric dipole approximation |
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1-132 | (1) |
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1.7.2 Single-mode approximation |
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1-132 | (1) |
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1.7.3 Two-level approximation |
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1-136 | (1) |
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1.7.4 Rotating-wave approximation |
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1-141 | (1) |
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1.7.5 Neglecting the self-energy diamagnetic term |
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1-142 | (1) |
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1.7.6 Neglecting the kinetic energy term |
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1-145 | (1) |
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1-149 | (1) |
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1-150 | (1) |
| 2 Cavity QED |
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2-1 | (1) |
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2.1 Early results and predictions |
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2-2 | (1) |
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2.1.1 Optical bistability |
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2-2 | (1) |
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2-5 | (1) |
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2.2 Cavity-induced atomic forces |
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2-10 | (1) |
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2-12 | (1) |
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2-12 | (1) |
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2.3.2 Schrodinger cat states |
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2-14 | (1) |
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2-17 | (1) |
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2-22 | (1) |
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2.5 Quantum information processing |
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2-24 | (1) |
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2.6 Quantum fluctuations and coherence in the weak-excitation limit |
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2-26 | (1) |
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2-31 | (1) |
| 3 Circuit QED |
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3-1 | (1) |
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3.1 From the Cooper pair box to the transmon qubit: the generalized Jaynes-Cummings model |
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3-1 | (1) |
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3.2 Engineering the coupling strength |
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3-3 | (1) |
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3.3 Mitigating dispersion and decoherence |
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3-4 | (1) |
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3.4 The (generalized) JC nonlinearity and spectrum revisited in the light of circuit QED |
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3-8 | (1) |
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3.5 Control and transfer of quantum information in circuit QED |
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3-15 | (1) |
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3-17 | (1) |
| 4 Trapped ions |
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4-1 | (1) |
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4-1 | (1) |
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4.2 State preparation and tomography |
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4-5 | (1) |
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4.3 Quantum information processing |
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4-7 | (1) |
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4.4 Further aspects and perspectives |
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4-11 | (1) |
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4-16 | (1) |
| 5 Waveguide QED |
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5-1 | (1) |
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5.1 Atomic emission in the vicinity of an interface |
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5-1 | (1) |
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5.2 Circuit QED revisited |
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5-5 | (1) |
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5.3 Light-matter interaction in a 1D waveguide: a continuum for correlated photon states |
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5-10 | (1) |
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5.4 Interaction with matter in nanowire plasmons |
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5-22 | (1) |
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5-26 | (1) |
| 6 Alternative physical systems |
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6-1 | (1) |
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6.1 Nitrogen vacancy centers |
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6-1 | (1) |
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6.2 Strong coupling in photonic crystals |
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6-5 | (1) |
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6.3 Hybrid systems: from nanomechanics to atomic ensembles |
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6-8 | (1) |
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6-13 | (1) |
| 7 Extensions to many-body configurations and additional degrees of freedom |
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7-1 | (1) |
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7.1 Jaynes-Cummings-Hubbard models |
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7-2 | (1) |
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7-6 | (1) |
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7.2.1 Mean-field explorations |
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7-7 | (1) |
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7.2.2 Critical phenomena 1-bosons |
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7-19 | (1) |
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7.2.3 Critical phenomena II-fermions |
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7-36 | (1) |
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7.3 Polaritonic chemistry |
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7-44 | (1) |
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7.3.1 Born-Oppenheimer theory |
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7-45 | (1) |
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7.3.2 Molecular JC Hamiltonian |
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7-48 | (1) |
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7-52 | (1) |
| Conclusions A projection for the coming decades |
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8-1 | (1) |
| References |
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8-5 | |
| Index |
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I-1 | |
