5,025 research outputs found
Resurvey of order and chaos in spinning compact binaries
This paper is mainly devoted to applying the invariant, fast, Lyapunov
indicator to clarify some doubt regarding the apparently conflicting results of
chaos in spinning compact binaries at the second-order post-Newtonian
approximation of general relativity from previous literatures. It is shown with
a number of examples that no single physical parameter or initial condition can
be described as responsible for causing chaos, but a complicated combination of
all parameters and initial conditions is responsible. In other words, a
universal rule for the dependence of chaos on each parameter or initial
condition cannot be found in general. Chaos does not depend only on the mass
ratio, and the maximal spins do not necessarily bring the strongest effect of
chaos. Additionally, chaos does not always become drastic when the initial spin
vectors are nearly perpendicular to the orbital plane, and the alignment of
spins cannot trigger chaos by itself.Comment: 16 pages, 7 figure
Spectral properties of 1D extended Hubbard model from bosonization and time-dependent variational principle: applications to 1D cuprate
Recent ARPES experiments on doped 1D cuprates revealed the importance of
effective near-neighbor (NN) attractions in explaining certain features in
spectral functions. Here we investigate spectral properties of the extended
Hubbard model with the on-site repulsion and NN interaction , by
employing bosonization analysis and the high-precision time-dependent
variational principle (TDVP) calculations of the model on 1D chain with up to
300 sites. From state-of-the-art TDVP calculations, we find that the spectral
weights of the holon-folding and branches evolve oppositely as a
function of . This peculiar dichotomy may be explained in bosonization
analysis from the opposite dependence of exponent that determines the spectral
weights on Luttinger parameter . Moreover, our TDVP calculations of
models with fixed and different show that may fit
the experimental results best, indicating a moderate effective NN attraction in
1D cuprates that might provide some hints towards understanding
superconductivity in 2D cuprates.Comment: 9 pages, 4 figure
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