S. Szabo

Phase optimized states via discrete coherent-state superpositions☆

Abstract It is shown that phase optimized quantum states of the electromagnetic field can be constructed by superpositions of a small number of coherent states along the positive real semiaxis in phase space. A systematic method is developed for finding optimal coherent-state superpositions.

Coherent-state representation on an infinitesimal interval in phase space

Abstract A coherent-state representation of the Hilbert space of the harmonic oscillator is presented. The basis set consists of the coherent states |α〉 with real parameter α which are in an infinitesimal vicinity of zero.

Relations between input and output quantum states of integrated optical systems

Relations between the input and the output quasiprobability distribution functions, Glaubers R-functions, and photon number representations of the input and output density operators are found for a general optical four-port device.

Preparation of two-mode anticorrelated photon-number state via atom de Broglie wave deflection

Abstract It is shown that the deflection of an atom de Broglie wave at two adjacent cavities containing non-resonant weak fields can yield a highly entangled quantum state of the atom–field system in which discernible atomic beams are entangled to internal states of the atom and to two-mode photon-number states of the fields. Two-mode anticorrelated entangled photon-number states characterized by the total photon number can be prepared by the detection of the atom in given directions of the propagation.

Wigner functions and quantum interference in optics

A new, approximate generalized Wigner function based on discrete coherent state superpositions is introduced. It is shown that in contrast to the exact generalized Wigner function that may not exist in some region of its parameter the proposed approximate function exists everywhere.