a 2 www.rle.mit.edu/qoptics 1 Single-Mode Quantized - PDF document

October 6, 2016 6.453 Quantum Optical Communication Lecture 9 Jeffrey H. Shapiro Optical and Quantum Communications Group www.rle.mit.edu/qoptics 6.453 Quantum Optical Communication — Lecture 9 § Announcements § Turn in problem set 4 § Pick up problem set 4 solution, problem set 5, lecture notes, slides § Single-Mode Photodetection § Direct Detection — reprise § Homodyne Detection — reprise § Heterodyne Detection — semiclassical versus quantum § Realizing the measurement ˆ a 2 www.rle.mit.edu/qoptics 1

Single-Mode Quantized Electromagnetic Field § Photon-Units Field Operator on Constant- z Plane: for § Photon Annihilation and Creation Operators: with canonical commutation relation 3 www.rle.mit.edu/qoptics Direct Detection: Semiclassical versus Quantum § Single-Mode Photon Counter: Semiclassical Description § Single-Mode Photon Counter: Quantum Description 4 www.rle.mit.edu/qoptics 2

Single-Mode Balanced Homodyne Receiver § Semiclassical Description: § Quantum Description: 5 www.rle.mit.edu/qoptics Homodyne Detection: Semiclassical Theory § Signal and Local Oscillator Fields: § Strong Local-Oscillator Condition: § Characteristic Function Derivation: 6 www.rle.mit.edu/qoptics 3

Homodyne Detection: Quantum Theory § Signal and Local Oscillator Field Operators: § Local-Oscillator State: § Measurement Operator: 7 www.rle.mit.edu/qoptics Single-Mode Balanced Heterodyne Receiver § Semiclassical Description: § Quantum Description: 8 www.rle.mit.edu/qoptics 4

Heterodyne Detection: Semiclassical Theory § Signal and Local Oscillator Fields: § Strong Local-Oscillator Condition: § Characteristic Function Derivation: random process theory 9 www.rle.mit.edu/qoptics Heterodyne Detection: Quantum Theory § Signal and Local Oscillator Field Operators: § Local-Oscillator State: § Simultaneous Measurement of Commuting Observables: 10 www.rle.mit.edu/qoptics 5

Coming Attractions: Lecture 10 § Lecture 10: Single-Mode Photodetection § Signatures of non-classical light § Squeezed-state waveguide tap 11 www.rle.mit.edu/qoptics 6

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