4,548 research outputs found
Observation of a tricritical wedge filling transition in the 3D Ising model
In this Letter we present evidences of the occurrence of a tricritical
filling transition for an Ising model in a linear wedge. We perform Monte Carlo
simulations in a double wedge where antisymmetric fields act at the top and
bottom wedges, decorated with specific field acting only along the wegde axes.
A finite-size scaling analysis of these simulations shows a novel critical
phenomenon, which is distinct from the critical filling. We adapt to
tricritical filling the phenomenological theory which successfully was applied
to the finite-size analysis of the critical filling in this geometry, observing
good agreement between the simulations and the theoretical predictions for
tricritical filling.Comment: 5 pages, 3 figure
Order reductions of Lorentz-Dirac-like equations
We discuss the phenomenon of preacceleration in the light of a method of
successive approximations used to construct the physical order reduction of a
large class of singular equations. A simple but illustrative physical example
is analyzed to get more insight into the convergence properties of the method.Comment: 6 pages, LaTeX, IOP macros, no figure
On Bargmann Representations of Wigner Function
By using the localized character of canonical coherent states, we give a
straightforward derivation of the Bargmann integral representation of Wigner
function (W). A non-integral representation is presented in terms of a
quadratic form V*FV, where F is a self-adjoint matrix whose entries are
tabulated functions and V is a vector depending in a simple recursive way on
the derivatives of the Bargmann function. Such a representation may be of use
in numerical computations. We discuss a relation involving the geometry of
Wigner function and the spacial uncertainty of the coherent state basis we use
to represent it.Comment: accepted for publication in J. Phys. A: Math. and Theo
Probing quantum coherence in qubit arrays
We discuss how the observation of population localization effects in
periodically driven systems can be used to quantify the presence of quantum
coherence in interacting qubit arrays. Essential for our proposal is the fact
that these localization effects persist beyond tight-binding Hamiltonian
models. This result is of special practical relevance in those situations where
direct system probing using tomographic schemes becomes infeasible beyond a
very small number of qubits. As a proof of principle, we study analytically a
Hamiltonian system consisting of a chain of superconducting flux qubits under
the effect of a periodic driving. We provide extensive numerical support of our
results in the simple case of a two-qubits chain. For this system we also study
the robustness of the scheme against different types of noise and disorder. We
show that localization effects underpinned by quantum coherent interactions
should be observable within realistic parameter regimes in chains with a larger
number o
Hyperbolic Scar Patterns in Phase Space
We develop a semiclassical approximation for the spectral Wigner and Husimi
functions in the neighbourhood of a classically unstable periodic orbit of
chaotic two dimensional maps. The prediction of hyperbolic fringes for the
Wigner function, asymptotic to the stable and unstable manifolds, is verified
computationally for a (linear) cat map, after the theory is adapted to a
discrete phase space appropriate to a quantized torus. The characteristic
fringe patterns can be distinguished even for quasi-energies where the fixed
point is not Bohr-quantized. The corresponding Husimi function dampens these
fringes with a Gaussian envelope centered on the periodic point. Even though
the hyperbolic structure is then barely perceptible, more periodic points stand
out due to the weakened interference.Comment: 12 pages, 10 figures, Submited to Phys. Rev.
Stable classical structures in dissipative quantum chaotic systems
We study the stability of classical structures in chaotic systems when a
dissipative quantum evolution takes place. We consider a paradigmatic model,
the quantum baker map in contact with a heat bath at finite temperature. We
analyze the behavior of the purity, fidelity and Husimi distributions
corresponding to initial states localized on short periodic orbits (scar
functions) and map eigenstates. Scar functions, that have a fundamental role in
the semiclassical description of chaotic systems, emerge as very robust against
environmental perturbations. This is confirmed by the study of other states
localized on classical structures. Also, purity and fidelity show a
complementary behavior as decoherence measures.Comment: 4 pages, 3 figure
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