Contributors. Preface. QED in Dispersing and Absorbing Dielectric Media (L. Knoll, et al.). Quantum Statistics of Light Propagating in Nonlinear Optical Couplers (J. Fiurasek & J. Perina). Multimode Quantum Correlations (N. Korolkova & G. Leuchs). Homodyne Detection and Quantum Information (T. Opatrny). Quantum Observations (V. Buzek & R. Derka). Photon Statistics at Beam Splitters: An Essential Tool in Quantum Information and Teleportation (G. Weihs & A. Zeilinger). Atoms in a Squeezed Vacuum (R. Tanas). Manipulation of the Quantum State of a Trapped Ion (W. Vogel & S. Wallentowitz). Dynamics of the Dicke Model (M. Kozierowski & S. Chumakov). Solid--State Quantum Computation (H. Matsueda). NMR Quantum Computation (U. Sakaguchi, et al.). Index.
Contributors. Preface. QED in Dispersing and Absorbing Dielectric Media (L. Knoll, et al.). Quantum Statistics of Light Propagating in Nonlinear Optical Couplers (J. Fiurasek & J. Perina). Multimode Quantum Correlations (N. Korolkova & G. Leuchs). Homodyne Detection and Quantum Information (T. Opatrny). Quantum Observations (V. Buzek & R. Derka). Photon Statistics at Beam Splitters: An Essential Tool in Quantum Information and Teleportation (G. Weihs & A. Zeilinger). Atoms in a Squeezed Vacuum (R. Tanas). Manipulation of the Quantum State of a Trapped Ion (W. Vogel & S. Wallentowitz). Dynamics of the Dicke Model (M. Kozierowski & S. Chumakov). Solid--State Quantum Computation (H. Matsueda). NMR Quantum Computation (U. Sakaguchi, et al.). Index.
Preface. Opening address (H. Fukuyama). Welcome address (K. Miyauchi). Quantum Computing, Quantum Teleportation, and Entanglement. Decoherence and recoherence in quantum computation (D.P. DiVincenzo, A. Ekert). Engineering entanglement between atoms and photons in a cavity: non-locality, Schrodinger cats and decoherence (S. Haroche). Three-and four-photon correlations and entanglement: quantum teleportation and beyond (A. Zeilinger). Quantum manipulations of small Josephson junctions and the measurement process performed with a single-electron transistor (A. Shnirman, Y. Makhlin, G. Schon). Extraction of NMR quantum computation signal with parity gate (M. Kitagawa). Quantum logical diagram of quantum computing evolution (H. Matsuda, D.W. Cohen). A generalized EPR problem and quantum teleportation (A. Motoyoshi et al.). Purification of multi-particle entanglement (M. Murao et al.). Quantum Information and Cryptography. Quantum cryptography and magic protocols (N. Imoto, M. Koashi, K. Shimizu). Quantum entanglement for secret sharing and telesplitting (A. Karlsson et al.). Communication channels secured from hidden eavesdropping via transmission of entangled photon pairs (K. Shimizu, N. Imoto). Quantum communication of bits by the polarization of photons (M. Matsuoka, T. Yamamoto, A. Motoyoshi). Optimal broadcasting of quantum information via teleportation (M. Murao et al.). Semiconductor-based quantum information: noiseless encoding in quantum-dot arrays (P. Zanardi, F. Rossi). Quantum Optics. Quantum information enabled by quantum optics (H.J. Kimble). Manipulation of quantum statistics in mesoscopic experiments (Y. Yamamoto). Extension of nonlocal response theory to Raman process (H. Ajiki, K. Cho). Quantum Maxwell-Bloch equations for spontaneous emission in semiconductor lasers (O. Hess, H.F. Hofmann). Quantum control of atomic systems by time-resolved homodyne detection of spontaneous emission (H. F. Hofmann et al.). Laser Cooling, Ion Trapping, and Atom Interferometry. Quantum computation, spectroscopy of trapped ions, and Schrodinger's cat (D.J. Wineland et al.). Atom interferometry (F. Shimizu). Multiple atomic beam interference in the Ramsey-Borde interferometer with multiple traveling laser beams (A. Morinaga, T. Aoki). Sympathetically laser-cooled mass spectroscopy using Ba+ ions (I. Waki, T. Baba, D. Wang). Bose-Einstein Condensation. Measurements of relative phase and quantum beat note between Bose-Einstein condensates (D.S. Hall et al.). Probing quantum statistical mechanics with Bose gases: nontrivial order parameter topology from a Bose-Einstein quench (J.R. Anglin, W.H. Zurek). Nonequilibrium time evolution of the condensed state of a fixed number of interacting bosons (A. Shimizu, J. Inoue, T. Miyadera). Macroscopic quantum tunneling of a Bose-Einstein condensate with attractive interaction: fate of a false vacuum (M. Ueda). Collective excitations of a trapped Bose-Einstein condensate: a variational sum-rule approach (T. Kimura, H
Principles of Quantum Devices: A Quantum-Optical Perspective on Quantum Science and Technology From Atoms to Qubits Quantum Information Coherent Optical Manipulation of Atoms: The Two-Level System Approximation Coherent Manipulation of Two-Level Systems Coherent Manipulation of Multilevel Systems The Two-Level System Including Atomic Motion Modelling Real Atoms Atoms and Quantized Optical Fields: The Quantum Stochastic Schrodinger Equation The Master Equation Inputs, Outputs, and Quantum Langevin Equations Cascaded Quantum Systems Dissipative Dynamics of Driven Systems Dissipative Dynamics of Driven Atoms Multi-Atom Optical Bloch Equations Laser Cooling: Quantum Stochastic Equations for Laser Cooling of Atoms Laser Cooling of Untrapped Atoms Laser Cooling of a Trapped Ion Continuous Measurement and Quantum Trajectories: Continuous Measurement Quantum Trajectories Homodyne Measurement Squeezing and Quantum Correlations Two-Level Systems, Photons and Phonons: Cavity Quantum Electrodynamics Optical Manipulation of Trapped Ions The Ion Trap Quantum Computer Superconductors: Quantum Circuit Theory Superconducting Quantum Devices Quantum Networks: Cavity Quantum Electrodynamics Networks The Dark-State Ensemble Quantum Memory Spatially Extended Atomic Ensembles
Statistical and quantum optics provides a clear, up-to-date and comprehensive introduction to the recent field of modern optics dealing with coherence and fluctuations of light. The first two chapters discuss the statistical frame work needed for later part of the book followed by systematic account of coherence theory with a detailed discussed on photon statistics. Description of quantum theory of coherence is preceded by a introductory chapter on field quantization. A detailed description of non-classical light highlighted by phenomena of anti-bunching, Sub-Poissonian statistics, production and detection of squeezed light and coherent state follows. Next is the discussion on E-P-R paradox on reality, locality and completeness of quantum mechanics bringing out clearly the importance of Bell's inequalities. The concluding two chapters put forward forcefully the new fundamental concepts based on quantum superposition and entanglement leading to two photon interference, quantum cryptography and teleportation.
The question of an efficient multimode description of optical pulses is studied. We show that a relatively very small number of nonmonochromatic modes can be sufficient for a complete quantum description of pulses with Gaussian quadrature statistics. For example, a three-mode description was enough to reproduce the experimental data of photon number correlations in optical solitons [S. Sp\"alter, N. Korolkova, F. K\"onig, A. Sizmann, and G. Leuchs, Phys. Rev. Lett. 81, 786 (1998)]. This approach is very useful for a detailed understanding of squeezing properties of soliton pulses with the main potential for quantum communication with continuous variables. We show how homodyne detection and/or measurements of photon number correlations can be used to determine the quantum state of the multimode field. We also discuss a possible way of physical separation of the nonmonochromatic modes.
PART I: INTRODUCTION AND BACKGROUND 1. Introduction 2. Classical optics 3. Quantum mechanics 4. Radiative transitions in atoms PART II: PHOTONS 5. Photon statistics 6. Photon antibunching 7. Coherent states and squeezed light 8. Photon number states PART III: ATOM-PHOTON INTERACTIONS 9. Resonant light-atom interactions 10. Atoms in cavities 11. Cold atoms PART IV: QUANTUM INFORMATION PROCESSING 12. Quantum cryptography 13. Quantum computing 14. Entangled states and quantum teleportation APPENDICES A. Poisson statistics B. Parametric amplification C. The density of states D. Low dimensional semiconductor structures E. Nuclear magnetic resonance F. Bose-Einstein condensation
Information carried by an optical beam of light can usually be conveyed in the form of a temporal modulation of the intensity, phase, frequency or the polarization of the constituent mode(s). In that regard, homodyne detection is one of the most popular and standard method to measure the quantum mechanical properties of light Yuen & Shapiro (1978); Yuen et al. (1979); Yuen & Shapiro (1980); Yurke (1985). The quantum theory of homodyne detection originated principally from the works of Yuen and Shapiro et al. Yuen & Shapiro (1978); Yuen et al. (1979). In this method, a weak signal field is combined with a strong local oscillator field at a beam splitter, and the resulting signal is measured as a photocurrent. With the homodyne detection method, the quantum state of the signal field, such as the quadrature amplitude of the squeezed state, is easily measured Slusher et al. (1985); Wu et al. (1986 ); Polzik et al. (1992), and the quasiprobability distribution function can be measured by using the so-called optical homodyne tomography Smithey et al. (1993); Banaszek & W’odkiewicz (1996); Wallentowitz & Vogel (1996); Youn et al. (2001). Furthermore, optical homodyne detection is used to eavesdrop on the quantum key in quantum cryptography Hirano et al. (2000).