328 research outputs found
A time-dependent Schr\"odinger equation for molecular core-hole dynamics
X-ray spectroscopy is an important tool for the investigation of matter. X
rays primarily interact with inner-shell electrons creating core (inner-shell)
holes that will decay on the time scale of attoseconds to few femtoseconds
through electron relaxations involving the emission of a photon or an electron.
The advent of femtosecond x-ray pulses expands x-ray spectroscopy to the time
domain and will eventually allow the control of core-hole population on
timescales comparable to core-vacancy lifetimes. For both cases, a theoretical
approach that accounts for the x-ray interaction while the electron relaxations
occur is required. Here we describe a time-dependent framework, based on
solving the time-dependent Schr\"odinger equation, that is suitable for
describing the induced electron and nuclear dynamics
Coherent Control of Vibrational State Population in a Nonpolar Molecule
A coherent control scheme for the population distribution in the vibrational
states of nonpolar molecules is proposed. Our theoretical analysis and results
of numerical simulations for the interaction of the hydrogen molecular ion in
its electronic ground state with an infrared laser pulse reveal a selective
two-photon transition between the vibrational states via a coupling with the
first excited dissociative state. We demonstrate that for a given temporal
intensity profile the population transfer between vibrational states, or a
superposition of vibrational states, can be made complete for a single chirped
pulse or a train of chirped pulses, which accounts for the accumulated phase
difference due to the AC Stark effect. Effects of a spatial intensity (or,
focal) averaging are discussed
Manipulation of single-photon states encoded in transverse spatial modes: possible and impossible tasks
Controlled generation and manipulation of photon states encoded in their
spatial degrees of freedom is a crucial ingredient in many quantum information
tasks exploiting higher-than-two dimensional encoding. Here, we prove the
impossibility to arbitrarily modify -level state superpositions (quits)
for , encoded in the transverse modes of light, with optical components
associated to the group of symplectic transforms (Gaussian operations).
Surprisingly, we also provide an explicit construction of how non-Gaussian
operations acting on mode subspaces do enable to overcome the limit . In
addition, this set of operations realizes the full SU(3) algebra.Comment: Published in PR
Spin and Orbital angular momentum propagation in anisotropic media: theory
This paper is devoted to study the propagation of light beams carrying
orbital angular momentum in optically anisotropic media. We first review some
properties of homogeneous anisotropic media, and describe how the paraxial
formalism is modified in order to proceed with a new approach dealing with a
general setting of paraxial propagation along uniaxial inhomogeneous media.
This approach is suitable for describing the space-variant-optical-axis phase
plates
Measuring two-photon orbital angular momentum entanglement
We put forward an approach to estimate the amount of bipartite spatial
entanglement of down-converted photon states correlated in orbital angular
momentum and the magnitude of the transverse (radial) wave vectors. Both
degrees of freedom are properly considered in our framework, which only
requires azimuthal local linear optical transformations and mode selection
analysis with two fiber detectors. The coincidence distributions predicted by
our approach give an excellent fit to the distributions measured in a recent
experiment aimed to show the very high-dimensional transverse entanglement of
twin photons from a down-conversion source. Our estimate for the Schmidt number
is substantially lower but still confirms the presence of high-dimensional
entanglement.Comment: Extended paper of a published version in PRA, with some extra
appendice
Attosecond x-ray transient absorption in condensed-matter: a core-state-resolved Bloch model
Attosecond transient absorption is an ultrafast technique that has opened the possibility to study electron dynamics in condensed matter systems at its natural timescale. The extension to the x-ray regime permits one to use this powerful technique in combination with the characteristic element specificity of x-ray spectroscopy. At these timescales, the coherent effects of the electron transport are essential and have a relevant signature on the absorption spectrum. Typically, the complex light-driven dynamics requires a theoretical modeling for shedding light on the time-dependent changes in the spectrum. Here we construct a semiconductor Bloch equation model for resolving the light-induced and core-electron dynamics simultaneously, which enables to easily disentangle the interband and intraband contributions. By using the Bloch model, we demonstrate a universal feature on attosecond x-ray transient absorption spectra that emerges from the light-induced coherent intraband dynamics. This feature is linked to previous studies of light-induced Fano resonances in atomic systemsThis project has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 702565 as well as from Comunidad de Madrid through the TALENTO program with ref. 2017-T1/IND-5432. LP acknowledges support from Junta de Castilla y León (Project SA046U16) and MINECO (FIS2016-75652-P). JB acknowledges financial support from the Spanish Ministry of Economy and Competitiveness (MINECO), through the Severo Ochoa Programme for Centres of Excellence in R&D (SEV- 2015-0522) Fundació Cellex Barcelona and the CERCA Programme / Generalitat de Catalunya, the European Research Council for ERC Advanced Grant TRANSFORMER (788218), MINECO for Plan Nacional FIS2017-89536-P; AGAUR for 2017 SGR 1639 and Laserlab-Europe (EU-H2020 654148
K-essential Phantom Energy: Doomsday around the Corner? Revisited
We generalize some of those results reported by Gonz\'{a}lez-D\'{i}az by
further tuning the parameter () which is closely related to the
canonical kinetic term in -essence formalism. The scale factor could
be negative and decreasing within a specific range of (, : the equation-of-state parameter) during the initial
evolutional period.Comment: 1 Figure, 6 page
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