By Miguel Orszag

ISBN-10: 354072706X

ISBN-13: 9783540727064

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Phys. : Phys. : Phys. Rev. , 10, 84 (1963). 2. : Phys. Rev. Lett. 10, 277 (1963) 3. : Quantum Statistical Properties of Radiation. , Cohen-Tannoudji, C. (eds) Gordon and Breach, New York (1965) 5. States of the Electromagnetic Field II In this chapter, we deal with the general properties of squeezed states. We also describe two methods of detection of these states. 1 Squeezed States: General Properties and Detection We define the quadrature operators X and Y [1] X= a + a† = 2 ω q, 2 Y = a − a† = 2i 1 p.

28) is Cb (t) = Ca (t) cos Rt 2 + iδ R sin Rt 2 o dab −i ER sin Rt 2 o dba −i ER sin Rt 2 Cb (0) cos Rt 2 − Ca (0) iδ R sin Rt 2 . 30) To take a simple example, if we start from the lower state [Cb (0) = 1], the transition probability for absorption is | Ca (t) |2 = | Rt Ro 2 | sin2 . 25) describes exactly the interaction between a two-level atom and the radiation field dCb = νCa (t) exp(−iωab t) cos ωt , dt dC i a = ν ∗ Cb (t) exp(iωab t) cos ωt , dt i where ν ≡ Eo dba . A general treatment involves the density matrix.

States of the Electromagnetic Field II (c) Balanced homodyne detection, (d) Heterodyne detection. The first method of direct photodetection is not the most convenient one, although simple, because the advantage of the phase-dependent squeezed light is lost, and one can associate antibunching or sub-Poissonian photon counting statistics to an incoming squeezed signal. However, both effects can also be measured with non-squeezed light, so we really need a phase-sensitive method to display the characteristics of the squeezed input.

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Quantum optics : including noise reduction, trapped ions, quantum trajectories, and decoherence ; with 92 problems with hints for solutions by Miguel Orszag


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