Photoelectron counting in quantum optics

More documents

Recommendations

Info

Formal solutionGenerating operator G, ‘damper’ L 0 , ‘jumper’ J.Write ∂ t G = L 0 G + sJG, G(s, t) ≡ ∑ ∞t .L 0 X ≡ YX + XY † , Y ≡ −iH 0 − 1 ∑2 QQ ′ γ QQ ′a† Q a Q ′.JX ≡ ∑ QQ ′ γ QQ ′a Q ′Xa† Q .m=0 sm χ (m)Single-mode case first for simplicity (A(t) ≡ e −Yt ae Yt ):˜ρ (m)t = γ m ∫ t0ρ (m)t = γ m ∫ t0∫ t2dt m ...dt m ...0∫ t20dt 1 A(t m )...A(t 1 )χ(0)A † (t 1 )...A † (t m )dt 1 e Yt A(t m )...A(t 1 )χ(0)A † (t 1 )...A † (t m )e Y †t .
Formal solutionGenerating operator G, ‘damper’ L 0 , ‘jumper’ J.Write ∂ t G = L 0 G + sJG, G(s, t) ≡ ∑ ∞t .L 0 X ≡ YX + XY † , Y ≡ −iH 0 − 1 ∑2 QQ ′ γ QQ ′a† Q a Q ′.JX ≡ ∑ QQ ′ γ QQ ′a Q ′Xa† Q .Single mode case, taking traces:Tr˜ρ (m)t = γ m ∫ tTrρ (m)t = γ m ∫ t00∫ t2dt m ...dt m ...0∫ t20m=0 sm χ (m)dt 1 〈A † (t 1 )...A † (t m )A(t m )...A(t 1 )〉dt 1 〈A † (t 1 )...A † (t m )e Y †t e Yt A(t m )...A(t 1 )〉.
Page 1 and 2:
Photoelectron counting in quantum o
Page 3 and 4:
Overview: photons, photon-counting,
Page 5 and 6:
Page 7:
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 44 and 45: Coherence functionsDefinitionsNotat
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 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
show all

Photoelectron counting in quantum optics

Create successful ePaper yourself

Delete template?

Save as template?