Title Quantum Optics and Heavy Ion Physics

I shall try to say a few words about two particular ways in which my own work has a certain relation to your work with heavy ions. My title is therefore "Quantum Optics and Heavy Ion Physics".Comment: Invited paper delivered at Quark Matter 2005 Conference, Budapest, Hungary, August 4, 2005, 11 pages, 5 figure

The reaction πN→ππN\pi N \to \pi \pi N at threshold in chiral perturbation theory

In the framework of heavy baryon chiral perturbation theory, we give thIn the framework of heavy baryon chiral perturbation theory, we give the chiral expansion for the $\pi N \to \pi \pi N$ threshold amplitudes $D_1$ and $D_2$ to quadratic order in the pion mass. The theoretical results agree within one standard deviation with the empirical values. We also derive a relation between the two threshold amplitudes of the reaction $\pi N \to \pi \pi N$ and the $\pi \pi$ S--wave scattering lengths, $a_0^0$ and $a_0^2$, respectively, to order ${\cal O}(M_\pi^2)$. We show that there are uncertainties mostly related to resonance excitation which make an accurate determination of the $\pi \pi$ scattering length $a_0^0$ from the $\pi \pi N$ threshold amplitudes at present very difficult. The situation is different in the $\pi \pi$ isospin two final state. Here, the chiral series converges and one finds $a_0^2 = -0.031 \pm 0.007$ consistent with the one--loop chiral perturbation theory prediction.Comment: 30 pp, LaTeX file, uses epsf, 6 figures (appended), corrections in sections 5 and 6, conclusions unchange

Multiphoton Quantum Optics and Quantum State Engineering

We present a review of theoretical and experimental aspects of multiphoton quantum optics. Multiphoton processes occur and are important for many aspects of matter-radiation interactions that include the efficient ionization of atoms and molecules, and, more generally, atomic transition mechanisms; system-environment couplings and dissipative quantum dynamics; laser physics, optical parametric processes, and interferometry. A single review cannot account for all aspects of such an enormously vast subject. Here we choose to concentrate our attention on parametric processes in nonlinear media, with special emphasis on the engineering of nonclassical states of photons and atoms. We present a detailed analysis of the methods and techniques for the production of genuinely quantum multiphoton processes in nonlinear media, and the corresponding models of multiphoton effective interactions. We review existing proposals for the classification, engineering, and manipulation of nonclassical states, including Fock states, macroscopic superposition states, and multiphoton generalized coherent states. We introduce and discuss the structure of canonical multiphoton quantum optics and the associated one- and two-mode canonical multiphoton squeezed states. This framework provides a consistent multiphoton generalization of two-photon quantum optics and a consistent Hamiltonian description of multiphoton processes associated to higher-order nonlinearities. Finally, we discuss very recent advances that by combining linear and nonlinear optical devices allow to realize multiphoton entangled states of the electromnagnetic field, that are relevant for applications to efficient quantum computation, quantum teleportation, and related problems in quantum communication and information.Comment: 198 pages, 36 eps figure

A proposal to measure polarization in pp, pi- p and pi+ p elastic scattering at 50, 100, and 150 GeV/c at the National Accelerator Laboratory

The authors propose to measure the polarization parameter in pp, {pi}{sup -}p, and {pi}{sup +}p scattering at incident momenta of 50, 100, and 150 GeV/c over the range 0.15 {le} -t {le} 1.5 (GeV/c){sup 2}. The apparatus consists of a polarized proton target, two spectrometer arms which determine the angles and momenta of both outgoing particles, and an on-line computer. The detectors are designed to operate at incident beam rates of up to 10{sup 8} beam particles/pulse. They anticipate an error in the polarization parameter P of .005 {le} {Delta}P {le} .01 over the range .15 {le} -t {le} .8 (GeV/c){sup 2} in 100 shifts of data taking and background studies

Pion--nucleon interaction and mesonic atoms. Progress report, February 1, 1977--January 31, 1978. [Summary of reseach activities at Wyoming Univ. , Laramie]

Experimental research in high energy physics and mesic atoms is summarized. A list of publications is included. (JFP