Download e-book for kindle: Filtering and control in quantum optics by Luc Bouten

By Luc Bouten

Show description

Read Online or Download Filtering and control in quantum optics PDF

Similar optics books

Read e-book online Optoelectronics and Fiber Optic Technology PDF

The writer trys to provide an explanation for the expertise to somebody completely unusual to this box in a simplified and occasionally technically wrong means. solid for normal readers. Senior excessive scholars, mightbe. considering a role during this box? both technical or no longer. Get a extra technical and less-misleading identify!

Download e-book for iPad: Modeling the imaging chain of digital cameras by Robert D. Fiete

The method in which a picture is shaped, processed, and displayed may be conceptualized as a sequence of actual occasions known as the imaging chain. by way of mathematically modeling the imaging chain, we will achieve perception into the connection among the digital camera layout parameters and the ensuing photograph caliber.

Read e-book online Laser Guide Star Adaptive Optics for Astronomy PDF

Adaptive optics permits the theoretical restrict of angular answer to be completed from a wide telescope, regardless of the presence of turbulence. therefore an 8 meter classification telescope, similar to one of many 4 within the Very huge Telescope operated through ESO in Chile, will in destiny be generally in a position to an angular solution of virtually zero.

William B. Spillman, Eric Udd's Field guide to fiber optic sensors PDF

The continuing development and relief in bills linked to fiber optic expertise linked to fiber sensors let program components that have been formerly inaccessible. those tendencies are anticipated to proceed as new strategies turn into on hand and older ones are effectively tailored to new purposes.

Additional info for Filtering and control in quantum optics

Example text

For all t, s ≥ 0 and E ∈ Σs ⊗ Σs , F ∈ Σt ⊗ Σt and all X ∈ M2 we have: ˜ E](X), E t [F ] ◦ E s [E](X) = E s+t [F − s∪ where F − s ∈ Σ [−t − s, −s) ⊗ Σ [−t − s, −s) is given by: ˜ is defined by: F − s = {(ff − s, fs − s); (ff , fs ) ∈ F )} and ∪ ˜ A∪B = {(ωf ∪ σf , ωs ∪ σs ); (ωf , ωs ) ∈ A, (σf , σs ) ∈ B}. Proof. The only point where there is really something to prove is point 5. Let us first introduce some short notation which we shall only use in this proof. Let π(zt , 0) denote π(zχ[0,t] ) ⊗ π(0) and denote St ⊗ St just by St .

In a similar fashion, only extracting two integrals now, we find that for i, j = 2, 3, . . : x y FXi ,Xj (x, y) = 0 0 z(x′ )z(y ′ )dx′ dy ′ . If i or j is 1 we again have to substitute zf irst for z. It is now obvious that the random variables Xi and Xj are independent. We conclude that the family of random variables {Xi }i=1,2,... is a (modified) renewal process. Chapter 3 Stochastic Schr¨ odinger equations Luc Bouten† M˘ad˘alin Gut¸˘a†† Hans Maassen† † Mathematisch Instituut, Katholieke Universiteit Nijmegen Toernooiveld 1, 6526 ED Nijmegen, The Netherlands †† EURANDOM, PO Box 513, 5600 MB Eindhoven, The Netherlands Abstract1 A derivation of Belavkin’s stochastic Schr¨odinger equations is given using quantum filtering theory.

Tracing out the local oscillator yields the following jump operation for the atom in the homodyne setup: Ja (ρ) = Trlo Ja⊗lo ρ ⊗ ψ(αt ) ψ(αt ) = κs V + wt wt ρ κs V ∗ + . 8) where the extra ε’s are introduced for future convenience. 7). e. we are interested in the limit ε → 0 [9], [27], [92]. Then the number of detected photons becomes very large and it makes sense to scale and center Nt , obtaining in this way the process with differential dWtε := εdNt − dt/ε and W0ε = 0. We find the following Itˆo rules for dWtε : 1 1 dWtε dWtε = εdNt − dt εdNt − dt = ε2 dNt = εdWtε + dt, ε ε ε dWt dt = 0.

Download PDF sample

Rated 4.30 of 5 – based on 42 votes

admin