3,023 research outputs found
Parametric oscillator in a Kerr medium: evolution of coherent states
We study the temporal evolution of a coherent state under the action of a
parametric oscillator and a nonlinear Kerr-like medium. We make use of the
interaction picture representation and use an exact time evolution operator for
the time independent part of the Hamiltonian. We approximate the interaction
picture Hamiltonian in such a way as to make it a member of a Lie algebra. The
corresponding time evolution operator behaves like a squeezing operator due to
the temporal dependence of the oscillator's frequency. We analyze the
probability amplitude and the auto correlation function for different
Hamiltonian parameters and we find a very good agreement between our
approximate results and converged numerical calculations.Comment: 11 pages, 3 figure
Phase diagram of the SO(n) bilinear-biquadratic chain from many-body entanglement
Here we investigate the phase diagram of the SO(n) bilinear-biquadratic
quantum spin chain by studying the global quantum correlations of the ground
state. We consider the cases of n=3,4 and 5 and focus on the geometric
entanglement in the thermodynamic limit. Apart from capturing all the known
phase transitions, our analysis shows a number of novel distinctive behaviors
in the phase diagrams which we conjecture to be general and valid for arbitrary
n. In particular, we provide an intuitive argument in favor of an infinite
entanglement length in the system at a purely-biquadratic point. Our results
are also compared to other methods, such as fidelity diagrams.Comment: 7 pages, 4 figures. Revised version. To appear in PR
Relations between entanglement and purity in non-Markovian dynamics
Knowledge of the relationships among different features of quantumness, like
entanglement and state purity, is important from both fundamental and practical
viewpoints. Yet, this issue remains little explored in dynamical contexts for
open quantum systems. We address this problem by studying the dynamics of
entanglement and purity for two-qubit systems using paradigmatic models of
radiation-matter interaction, with a qubit being isolated from the environment
(spectator configuration). We show the effects of the corresponding local
quantum channels on an initial two-qubit pure entangled state in the
concurrence-purity diagram and find the conditions which enable dynamical
closed formulas of concurrence, used to quantify entanglement, as a function of
purity. We finally discuss the usefulness of these relations in assessing
entanglement and purity thresholds which allow noisy quantum teleportation. Our
results provide new insights about how different properties of composite open
quantum systems behave and relate each other during quantum evolutions.Comment: 16 Pages, 10 Figures. One author added. Improved version with more
references and comment
Multi-GPU maximum entropy image synthesis for radio astronomy
The maximum entropy method (MEM) is a well known deconvolution technique in
radio-interferometry. This method solves a non-linear optimization problem with
an entropy regularization term. Other heuristics such as CLEAN are faster but
highly user dependent. Nevertheless, MEM has the following advantages: it is
unsupervised, it has a statistical basis, it has a better resolution and better
image quality under certain conditions. This work presents a high performance
GPU version of non-gridding MEM, which is tested using real and simulated data.
We propose a single-GPU and a multi-GPU implementation for single and
multi-spectral data, respectively. We also make use of the Peer-to-Peer and
Unified Virtual Addressing features of newer GPUs which allows to exploit
transparently and efficiently multiple GPUs. Several ALMA data sets are used to
demonstrate the effectiveness in imaging and to evaluate GPU performance. The
results show that a speedup from 1000 to 5000 times faster than a sequential
version can be achieved, depending on data and image size. This allows to
reconstruct the HD142527 CO(6-5) short baseline data set in 2.1 minutes,
instead of 2.5 days that takes a sequential version on CPU.Comment: 11 pages, 13 figure
Simulation of strongly correlated fermions in two spatial dimensions with fermionic Projected Entangled-Pair States
We explain how to implement, in the context of projected entangled-pair
states (PEPS), the general procedure of fermionization of a tensor network
introduced in [P. Corboz, G. Vidal, Phys. Rev. B 80, 165129 (2009)]. The
resulting fermionic PEPS, similar to previous proposals, can be used to study
the ground state of interacting fermions on a two-dimensional lattice. As in
the bosonic case, the cost of simulations depends on the amount of entanglement
in the ground state and not directly on the strength of interactions. The
present formulation of fermionic PEPS leads to a straightforward numerical
implementation that allowed us to recycle much of the code for bosonic PEPS. We
demonstrate that fermionic PEPS are a useful variational ansatz for interacting
fermion systems by computing approximations to the ground state of several
models on an infinite lattice. For a model of interacting spinless fermions,
ground state energies lower than Hartree-Fock results are obtained, shifting
the boundary between the metal and charge-density wave phases. For the t-J
model, energies comparable with those of a specialized Gutzwiller-projected
ansatz are also obtained.Comment: 25 pages, 35 figures (revised version
The role of geometry on dispersive forces
The role of geometry on dispersive forces is investigated by calculating the
energy between different spheroidal particles and planar surfaces, both with
arbitrary dielectric properties. The energy is obtained in the non-retarded
limit using a spectral representation formalism and calculating the interaction
between the surface plasmons of the two macroscopic bodies. The energy is a
power-law function of the separation of the bodies, where the exponent value
depends on the geometrical parameters of the system, like the separation
distance between bodies, and the aspect ratio among minor and major axes of the
spheroid.Comment: Presneted at QFEXT05, Barcelona 2005. Submitted to J. Phys.
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