Photoelectron counting in quantum optics

More documents

Recommendations

Info

Coherence functionsDefinitionsNotation x = (r, t).G (1) (x, x ′ ) ≡ 〈E (−) (x)E (+) (x ′ )〉 (12)G (2) (x 1 , x 2 , x ′ 2, x ′ 1) ≡ 〈E (−) (x 1 )E (−) (x 2 )E (+) (x ′ 2)E (+) (x ′ 1)〉. (13)Based on photon absorption intensity 〈I (x)〉 = G (1) (x, x).G (1) describes first order coherence: Mach-Zehnder (Young,Michelson) interference.G (2) describes second order coherence: Hanbury Brown, Twiss.
Coherence functionsSpecial cases, normalised versions, single-mode example H = ωa † aG (1) (t, t + τ) ≡ 〈E (−) (t)E (+) (t + τ)〉 (12)G (2) (t, t + τ) ≡ 〈E (−) (t)E (−) (t + τ)E (+) (t + τ)E (+) (t)〉(13)g (2) G (2) (t, t + τ)(t, t + τ) ≡G (1) (t, t)G (1) (14)(t + τ, t + τ)number state ρ(0) = |n〉〈n| g (2) n(n − 1)(τ) =n 2 = 1 − 1 ncoherent state ρ(0) = |z〉〈z| g (2) (τ) = z∗ z ∗ zz|z ∗ = 1. (15)z| 2Definition (bunching, antibunching; sub/super-Poissonian)- Bunching: g (2) (τ) < g (2) (0), anti-bunching g (2) (τ) > g (2) (0).- Super-P. g (2) (0) > 1, sub-P. g (2) (0) < 1: relation to p n (t, t + T ).
Page 1 and 2: Photoelectron counting in quantum o
Page 3 and 4: Overview: photons, photon-counting,
Page 5 and 6: Overview: photons, photon-counting,
Page 7: Overview: photons, photon-counting,
Page 11: Semiclassical theory for p n (t, t
Page 14 and 15: Mandel formula: many countsHow to o
Page 16 and 17: ‘Quantum Mandel formulas’Kelley
Page 18 and 19: Scully-Lamb photodetectorM. Scully,
Page 20 and 21: Master equationEffective density ma
Page 22 and 23: Scully-Lamb PhotodetectorDetector m
Page 24 and 25: Scully-Lamb PhotodetectorDetector m
Page 26 and 27: Scully-Lamb PhotodetectorState with
Page 28 and 29: Scully-Lamb PhotodetectorState with
Page 30 and 31: Summary: counting statistics in Scu
Page 32 and 33: Solve d dt Ĝ = −i[H F, Ĝ] −
Page 34 and 35: (a † aĜ + Ĝa † a − 2saĜa
Page 36 and 37: Solve ∂ ∂t P s = [ −yz∂ z
Page 38 and 39: Single-mode counting formula: discu
Page 40 and 41: Summary part 1Done so farPhoton cou
Page 42 and 43: 5 Correlation functions6 Source-fie
Page 46 and 47: Coherence functionsExample for bunc
Page 48 and 49: Quantization of Maxwell’s equatio
Page 50 and 51: Spontaneous emission from a two-lev
Page 56 and 57: Resonance fluorescence: analogy to
Page 58 and 59: Master equation for TLS-‘source
Page 60 and 61: Cook’s ‘counting at the source
Page 66 and 67: Resonance fluorescence: sub-Poisson
Page 68 and 69: Resonance fluorescence: sub-Poisson
Page 70 and 71: Counting in quantum optics: towards
Page 72 and 73: Ueda’s photodetector theoryM. Ued
Page 74 and 75: Multi-mode photodetectorH = H 0 + H
Page 76 and 77: Formal solutionGenerating operator
Page 78 and 79: Formal solutionGenerating operator
Page 80 and 81: Relation with Kelley-Kleiner formul
Page 82 and 83: Relation with Kelley-Kleiner formul
Page 84 and 85: Multi-mode form×p m (0, t) ≡ Tr
Page 86 and 87: Quantum jump method, Monte-Carlo fo
Page 92: SummaryMulti-mode quantum optics: f

Photoelectron counting in quantum optics

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?