Photon-added one-photon and two-photon nonlinear coherent states
نویسنده
چکیده
From the photon-added one-photon nonlinear coherent states a†m|α, f〉, we introduce a new type of nonlinear coherent states with negative values of m. The nonlinear coherent states corresponding to the positive and negative values of m are shown to be the result of nonunitarily deforming the number states |m〉 and |0〉, respectively. As an example, we study the sub-Poissonian statistics and squeezing effects of the photon-added geometric states with negative values of m in detail. Finally we investigate the photon-added twophoton nonlinear coherent states and find they are still the two-photon nonlinear coherent states with certain nonlinear functions. PACS: 42.50.Dv, 03.65.Fd Typeset using REVTEX email:[email protected] 1
منابع مشابه
Coherent Transport of Single Photon in a Quantum Super-cavity with Mirrors Composed of Λ-Type Three-level Atomic Ensembles
In this paper, we study the coherent transport of single photon in a coupled resonator waveguide (CRW) where two threelevel Λ-type atomic ensembles are embedded in two separate cavities. We show that it is possible to control the photon transmission and reflection coefficients by using classical control fields. In particular, we find that the total photon transmission and reflection are achieva...
متن کاملPhoton-added nonlinear coherent states
The photon-added nonlinear coherent states, defined as a†m|α, f〉 up to a normalization constant, are still nonlinear coherent states with the nonlinear function f(N−m)[1−m/(N +1)]. Here |α, f〉 is the nonlinear coherent state with the nonlinear function f(N), N is the number operator, a is the boson creation operator and m is a non-negative integer. We introduce a new type of nonlinear coherent ...
متن کاملCompleteness of photon-added squeezed vacuum and one-photon states and of photon-added coherent states on a circle
A discrete completeness relation and a continuous one with a positive measure are found for the photon-added squeezed vacuum states. Extension to the photon-added squeezed one-photon states is considered. Photon-added coherent states on a circle are introduced. Their normalization and unity resolution relation are given. PACS: 03.65.Fd, 42.50.Dv
متن کاملبرهمنهی حالت‌های همدوس غیرخطی روی سطح کره
In this paper, by using the nonlinear coherent states on a sphere, we introduce superposition of the aforementioned coherent states. Then, we consider quantum optical properties of these new superposed states and compare these properties with the corresponding properties of the nonlinear coherent states on the sphere. Specifically, we investigate their characteristics function, photon-number d...
متن کاملThe Impact of the Spectral Filter Bandwidth on the Spectral Entanglement and Indistinguishability of Photon Pairs of SPDC Process
In this paper, we have investigated the dependence of the spectral entanglement and indistinguishability of photon pairs produced by the spontaneous parametric down-conversion (SPDC) procedure on the bandwidth of spectral filters used in the detection setup. The SPDC is a three-wave mixing process which occurs in a nonlinear crystal and generates entangled photon pairs and utilizes as one of th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008