14,126 research outputs found
The Photon Wave Function in Non-forward Diffractive Scattering with Non-vanishing Quark Masses
The light-cone Photon wave function in explicit helicity states, valid for
massive quarks and in both momentum and configuration space, is presented by
considering the leading order photon-proton hard scattering, i.e., the
splitting quark pair scatters with the proton in the Regge limit. Further we
apply it to the diffractive scattering at nonzero momentum transfer and reach a
similar factorization as in the case of zero momentum transfer.Comment: 11 pages LaTeX, 2 figures, version to appear in Phys. Rev.
Parametric generation of quadrature squeezing of mirrors in cavity optomechanics
We propose a method to generate quadrature squeezed states of a moving mirror
in a Fabry-Perot cavity. This is achieved by exploiting the fact that when the
cavity is driven by an external field with a large detuning, the moving mirror
behaves as a parametric oscillator. We show that parametric resonance can be
reached approximately by modulating the driving field amplitude at a frequency
matching the frequency shift of the mirror. The parametric resonance leads to
an efficient generation of squeezing, which is limited by the thermal noise of
the environment.Comment: 4 pages, 2 figure
Correlated two-photon transport in a one-dimensional waveguide side-coupled to a nonlinear cavity
We investigate the transport properties of two photons inside a
one-dimensional waveguide side-coupled to a single-mode nonlinear cavity. The
cavity is filled with a nonlinear Kerr medium. Based on the Laplace transform
method, we present analytic solution of quantum states of the transmitted and
reflected two photons, which are initially prepared in a Lorentzian wave
packet. The solution reveals how quantum correlation between the two photons
emerge after the scattering by the nonlinear cavity. In particular, we show
that the output wave function of the two photons in position space can be
localized in the relative coordinates, which is a feature that may be
interpreted as a two-photon bound state in this waveguide-cavity system.Comment: 9 pages, 5 figure
Exclusive J/\psi Productions at e^+ e^- Colliders
Exclusive quarkonium pair production in electron-positron collisions is
studied in non-relativistic QCD. The obtained cross section for J/\psi + \eta_c
production in the leading order is confronted against the recent measurements
by the Belle Collaboration at KEKB. It is shown that a large renormalization
K-factor is necessary to explain the experimental data. We point out that the
J^{PC}=0^{-+} nature of the hadronic systems that are assigned to be \eta_c
should be tested by the triple angular distributions in terms of the scattering
angle, and, polar and azimuthal angles of J/\psi into leptons. We further study
J/\psi + J/\psi and \Upsilon + \Upsilon productions at LEP energies. Although
the axial-vector couplings of the Z-boson to charm and bottom quarks allow
production of such pairs when one of them is polarised transversally and the
other longitudinally, we find that the integrated luminosity at Z pole
accumulated by LEP is not large enough to observe the exclusive pair production
of quarkonium.Comment: 11 pages, 2 eps figures, LaTe
Single-particle machine for quantum thermalization
The long time accumulation of the \textit{random} actions of a single
particle "reservoir" on its coupled system can transfer some temperature
information of its initial state to the coupled system. This dynamic process
can be referred to as a quantum thermalization in the sense that the coupled
system can reach a stable thermal equilibrium with a temperature equal to that
of the reservoir. We illustrate this idea based on the usual micromaser model,
in which a series of initially prepared two-level atoms randomly pass through
an electromagnetic cavity. It is found that, when the randomly injected atoms
are initially prepared in a thermal equilibrium state with a given temperature,
the cavity field will reach a thermal equilibrium state with the same
temperature as that of the injected atoms. As in two limit cases, the cavity
field can be cooled and "coherently heated" as a maser process, respectively,
when the injected atoms are initially prepared in ground and excited states.
Especially, when the atoms in equilibrium are driven to possess some coherence,
the cavity field may reach a higher temperature in comparison with the injected
atoms. We also point out a possible experimental test for our theoretical
prediction based on a superconducting circuit QED system.Comment: 9 pages,4 figures
Correlated two-photon scattering in cavity optomechanics
We present an exact analytical solution of the two-photon scattering in a
cavity optomechanical system. This is achieved by solving the quantum dynamics
of the total system, including the optomechanical cavity and the cavity-field
environment, with the Laplace transform method. The long-time solution reveals
detailed physical processes involved as well as the corresponding resonant
photon frequencies. We characterize the photon correlation induced in the
scattering process by calculating the two-photon joint spectrum of the
long-time state. Clear evidence for photon frequency anti-correlation can be
observed in the joint spectrum. In addition, we calculate the equal-time
second-order correlation function of the cavity photons. The results show that
the radiation pressure coupling can induce photon blockade effect, which is
strongly modulated by the phonon sideband resonance. In particular, we obtain
an explicit expression of optomechanical coupling strength determining these
sideband modulation peaks based on the two-photon resonance condition.Comment: 10 pages, 6 figure
Spectrum of single-photon emission and scattering in cavity optomechanics
We present an analytic solution describing the quantum state of a single
photon after interacting with a moving mirror in a cavity. This includes
situations when the photon is initially stored in a cavity mode as well as when
the photon is injected into the cavity. In addition, we obtain the spectrum of
the output photon in the resolved-sideband limit, which reveals spectral
features of the single-photon strong-coupling regime in this system. We also
clarify the conditions under which the phonon sidebands are visible and the
photon-state frequency shift can be resolved.Comment: 5 pages, 5 figure
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