5,742 research outputs found
Quantum non-Gaussianity witnesses in the phase space
We address detection of quantum non-Gaussian states, i.e. nonclassical states
that cannot be expressed as a convex mixture of Gaussian states, and present a
method to derive a new family of criteria based on generic linear functionals.
We then specialise this method to derive witnesses based on -parametrized
quasiprobability functions, generalising previous criteria based on the Wigner
function. In particular we discuss in detail and analyse the properties of
Husimi Q-function based witnesses and prove that they are often more effective
than previous criteria in detecting quantum non-Gaussianity of various kinds of
non-Gaussian states evolving in a lossy channel.Comment: 9 pages, 6 figure
Chopped random-basis quantum optimization
In this work we describe in detail the "Chopped RAndom Basis" (CRAB) optimal
control technique recently introduced to optimize t-DMRG simulations
[arXiv:1003.3750]. Here we study the efficiency of this control technique in
optimizing different quantum processes and we show that in the considered cases
we obtain results equivalent to those obtained via different optimal control
methods while using less resources. We propose the CRAB optimization as a
general and versatile optimal control technique.Comment: 9 pages, 10 figure
The chemical evolution of self-gravitating primordial disks
Numerical simulations show the formation of self-gravitating primordial disks
during the assembly of the first structures in the Universe, in particular
during the formation of Pop.~III and supermassive stars. Their subsequent
evolution is expected to be crucial to determine the mass scale of the first
cosmological objects, which depends on the temperature of the gas and the
dominant cooling mechanism. Here, we derive a one-zone framework to explore the
chemical evolution of such disks and show that viscous heating leads to the
collisional dissociation of an initially molecular gas. The effect is relevant
on scales of 10 AU (1000 AU) for a central mass of 10 M_sun (10^4 M_sun) at an
accretion rate of 10^{-1} M_sun yr^{-1}, and provides a substantial heat input
to stabilize the disk. If the gas is initially atomic, it remains atomic during
the further evolution, and the effect of viscous heating is less significant.
The additional thermal support is particularly relevant for the formation of
very massive objects, such as the progenitors of the first supermassive black
holes. The stabilizing impact of viscous heating thus alleviates the need for a
strong radiation background as a means of keeping the gas atomic.Comment: 13 pages, 5 figures, 6 tables, accepted at A&
Optimal Phonon-to-Spin Mapping in a system of a trapped ion
We propose a protocol for measurement of the phonon number distribution of a
harmonic oscillator based on selective mapping to a discrete spin-1/2 degree of
freedom. We consider a system of a harmonically trapped ion, where a transition
between two long lived states can be driven with resolved motional sidebands.
The required unitary transforms are generated by amplitude-modulated
polychromatic radiation fields, where the time-domain ramps are obtained from
numerical optimization by application of the Chopped RAndom Basis (CRAB)
algorithm. We provide a detailed analysis of the scaling behavior of the
attainable fidelities and required times for the mapping transform with respect
to the size of the Hilbert space. As one application we show how the mapping
can be employed as a building block for experiments which require measurement
of the work distribution of a quantum process
A General Mathematical Formulation for the Determination of Differential Leakage Factors in Electrical Machines with Symmetrical and Asymmetrical Full or Dead-Coil Multiphase Windings
This paper presents a simple and general mathematical formulation for the determination of the differential leakage factor for both symmetrical and asymmetrical full and dead-coil windings of electrical machines. The method can be applied to all multiphase windings and considers Görges polygons in conjunction with masses geometry in order to find an easy and affordable way to compute the differential leakage factor, avoiding the adoption of traditional methods that refer to the Ossanna's infinite series, which has to be obviously truncated under the bound of a predetermined accuracy. Moreover, the method described in this paper allows the easy determination of both the minimum and maximum values of the differential leakage factor, as well as its average value and the time trend. The proposed method, which does not require infinite series, is validated by means of several examples in order to practically demonstrate the effectiveness and the easiness of application of this procedure
A chemical model for the interstellar medium in galaxies
We present and test chemical models for three-dimensional hydrodynamical
simulations of galaxies. We explore the effect of changing key parameters such
as metallicity, radiation and non-equilibrium versus equilibrium metal cooling
approximations on the transition between the gas phases in the interstellar
medium. The microphysics is modelled by employing the public chemistry package
KROME and the chemical networks have been tested to work in a wide range of
densities and temperatures. We describe a simple H/He network following the
formation of H, and a more sophisticated network which includes metals.
Photochemistry, thermal processes, and different prescriptions for the H
catalysis on dust are presented and tested within a one-zone framework. The
resulting network is made publicly available on the KROME webpage. We find that
employing an accurate treatment of the dust-related processes induces a faster
HI--H transition. In addition, we show when the equilibrium assumption for
metal cooling holds, and how a non-equilibrium approach affects the thermal
evolution of the gas and the HII--HI transition. These models can be employed
in any hydrodynamical code via an interface to KROME and can be applied to
different problems including isolated galaxies, cosmological simulations of
galaxy formation and evolution, supernova explosions in molecular clouds, and
the modelling of star-forming regions. The metal network can be used for a
comparison with observational data of CII 158 m emission both for
high-redshift as well as for local galaxies.Comment: A&A accepte
Robust optimal quantum gates for Josephson charge qubits
Quantum optimal control theory allows to design accurate quantum gates. We
employ it to design high-fidelity two-bit gates for Josephson charge qubits in
the presence of both leakage and noise. Our protocol considerably increases the
fidelity of the gate and, more important, it is quite robust in the disruptive
presence of 1/f noise. The improvement in the gate performances discussed in
this work (errors of the order of 10^{-3}-10^{-4} in realistic cases) allows to
cross the fault tolerance threshold.Comment: 4 pages, 4 figure
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