Quantum Physics of Simple Optical Instruments
arXiv:quant-ph/0305007 · doi:10.1088/0034-4885/66/7/203
Abstract
Simple optical instruments are linear optical networks where the incident light modes are turned into equal numbers of outgoing modes by linear transformations. For example, such instruments are beam splitters, multiports, interferometers, fibre couplers, polarizers, gravitational lenses, parametric amplifiers, phase-conjugating mirrors and also black holes. The article develops the quantum theory of simple optical instruments and applies the theory to a few characteristic situations, to the splitting and interference of photons and to the manifestation of Einstein-Podolsky-Rosen correlations in parametric downconversion. How to model irreversible devices such as absorbers and amplifiers is also shown. Finally, the article develops the theory of Hawking radiation for a simple optical black hole. The paper is intended as a primer, as a nearly self-consistent tutorial. The reader should be familiar with basic quantum mechanics and statistics, and perhaps with optics and some elementary field theory. The quantum theory of light in dielectrics serves as the starting point and, in the concluding section, as a guide to understand quantum black holes.
References in corpus (29)
- Quantum Cryptography
- Theory of Bose-Einstein condensation in trapped gases
- Experimental quantum teleportation
- Storage of light in atomic vapor
- Experimental Realization of Teleporting an Unknown Pure Quantum State via Dual Classical and Einstein-Podolski-Rosen Channels
- Violation of Bell's inequality under strict Einstein locality conditions
- Ultra-bright source of polarization-entangled photons
- Hidden Variables and the Two Theorems of John Bell
- Experimental long-lived entanglement of two macroscopic objects
- Violation of Bell inequalities by photons more than 10 km apart
- Acoustic black holes: horizons, ergospheres, and Hawking radiation
- Sonic analog of gravitational black holes in Bose-Einstein condensates
- Quantum state reconstruction of the single-photon Fock state
- Nonlocality of Einstein-Podolsky-Rosen State in Wigner Representation
- A Primer for Black Hole Quantum Physics
- Relativistic Effects of Light in Moving Media with Extremely Low Group Velocity
- Polarization squeezing and continuous-variable polarization entanglement
- Gravity wave analogs of black holes
- Optics of Nonuniformly Moving Media
- Horizon Entropy
- Quantum catastrophe of slow light
- Dielectric black hole analogues
- Quantum state transformation by dispersive and absorbing four-port devices
- Space-time geometry of quantum dielectrics
- Light Rays at Optical Black Holes in Moving Media
- Transitions in quantum networks
- Localization and diffusion in Ising-type quantum networks
- EPR correlations and EPW distributions revisited
- Theory of a Slow-Light Catastrophe
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- Quantum levitation by left-handed metamaterials
- Network Synthesis of Linear Dynamical Quantum Stochastic Systems
- Measuring Measurement: Theory and Practice
- On-chip quantum interference with heralded photons from two independent micro-ring resonator sources in silicon photonics
- Quantum optical realization of arbitrary linear transformations allowing for loss and gain
- Generation of entangled coherent states for distant Bose-Einstein condensates via electromagnetically induced transparency
- Quantum-limited Euler angle measurements using anticoherent states
- The Kalman Decomposition for Linear Quantum Systems
- Quantum Model for Electro-Optical Phase Modulation
- Optical analogue of population trapping in the continuum: classical and quantum interference effects
- Long-range surface plasmon polariton excitation at the quantum level
- Experimental implementation of unambiguous quantum reading
- Explicit effective Hamiltonians for general linear quantum-optical networks
- Tradeoff between energy and error in the discrimination of quantum-optical devices
- Quantum CDMA Communication Systems
- Linear optics and quantum maps
- The capacity of black holes to transmit quantum information
- Quantum theory of polarimetry: From quantum operations to Mueller matrices
- Quantum Interference between a Single-Photon Fock State and a Coherent State
- A master equation for a two-sided optical cavity
- A New Look at the Quantum Mechanics of the Harmonic Oscillator
- Linear optics only allows every possible quantum operation for one photon or one port
- The -qutrit, a two-mode bosonic qutrit
- Field operator transformations in Quantum Optics using a novel graphical method with applications to beam splitters and interferometers
- Quantum model for electro-optical amplitude modulation
- Conservation of angular momentum on a single-photon level
- An Algebraic Approach to Linear-Optical Schemes for Deterministic Quantum Computing
- Approaching single-photon pulses
- Improved Decoy-state and Flag-state Squashing Methods
- Classical and quantum interference in multiband optical Bloch oscillations
- Eliminating Thermal IR Background Noise by Imaging with Undetected Photons
- Space-time propagation of photon pulses in dielectric media,illustrations with beam splitters
- Pseudounitary Floquet scattering matrix for wave-front shaping in time-periodic photonic media
- How to find optimal quantum states for optical micromanipulation and metrology in complex scattering problems: tutorial
- Noiseless amplification of weak coherent fields exploiting energy fluctuations of the field
- Thermodynamics of quantum information in noisy polarizers
- Interferometric measurement of the quadrature coherence scale using two replicas of a quantum optical state
- An example of quantum imaging: rendering an object undetectable
- Enhancement in phase sensitivity in displacement-assisted SU(1,1) interferometer via photon recycling
- Engineering multiphoton states for linear optics computation
- Relationship between the field local quadrature and the quantum discord of a photon-added correlated channel under the influence of scattering and phase fluctuation noise
- Entanglement, loss, and quantumness: When balanced beam splitters are best
- Two-Mode Bosonic State Tomography with Single-Shot Joint-Parity Measurement of a Trapped Ion
- Wigner's Phase Space Current for Variable Beam Splitters -Seeing Beam Splitters in a New Light-
- Nonlinear-linear duality for multipath quantum interference
- Unified boson sampling
- Determination of the characteristic directions of lossless linear optical elements
- Spin coherence scale: operator-ordering sensitivity beyond the Heisenberg-Weyl group