16,734 research outputs found
Entanglement in the anisotropic Heisenberg XYZ model with different Dzyaloshinskii-Moriya interaction and inhomogeneous magnetic field
We investigate the entanglement in a two-qubit Heisenberg XYZ system with
different Dzyaloshinskii-Moriya(DM) interaction and inhomogeneous magnetic
field. It is found that the control parameters (, and )
are remarkably different with the common control parameters (,
and ) in the entanglement and the critical temperature, and these
x-component parameters can increase the entanglement and the critical
temperature more efficiently. Furthermore, we show the properties of these
x-component parameters for the control of entanglement. In the ground state,
increasing (spin-orbit coupling parameter) can decrease the critical
value and increase the entanglement in the revival region, and
adjusting some parameters (increasing and , decreasing and
) can decrease the critical value to enlarge the revival
region. In the thermal state, increasing can increase the revival
region and the entanglement in the revival region (for or ), and
enhance the critical value to make the region of high entanglement
larger. Also, the entanglement and the revival region will increase with the
decrease of (uniform magnetic field). In addition, small
(nonuniform magnetic field) has some similar properties to , and with
the increase of the entanglement also has a revival phenomenon, so that
the entanglement can exist at higher temperature for larger .Comment: 8 pages, 8 figure
Consistency of Loop Regularization Method and Divergence Structure of QFTs Beyond One-Loop Order
We study the problem how to deal with tensor-type two-loop integrals in the
Loop Regularization (LORE) scheme. We use the two-loop photon vacuum
polarization in the massless Quantum Electrodynamics (QED) as the example to
present the general procedure. In the processes, we find a new divergence
structure: the regulated result for each two-loop diagram contains a
gauge-violating quadratic harmful divergent term even combined with their
corresponding counterterm insertion diagrams. Only when we sum up over all the
relevant diagrams do these quadratic harmful divergences cancel, recovering the
gauge invariance and locality.Comment: 33 pages, 5 figures, Sub-section IIIE removed, to be published in
EPJ
Gamma-Ray Burst Jet Breaks Revisited
Gamma-ray Burst (GRB) collimation has been inferred with the observations of achromatic steepening in GRB light curves, known as jet breaks. Identifying a jet break from a GRB afterglow light curve allows a measurement of the jet opening angle and true energetics of GRBs. In this paper, we re-investigate this problem using a large sample of GRBs that have an optical jet break that is consistent with being achromatic in the X-ray band. Our sample includes 99 GRBs from 1997 February to 2015 March that have optical and, for Swift GRBs, X-ray light curves that are consistent with the jet break interpretation. Out of the 99 GRBs we have studied, 55 GRBs are found to have temporal and spectral behaviors both before and after the break, consistent with the theoretical predictions of the jet break models, respectively. These include 53 long/soft (Type II) and 2 short/hard (Type I) GRBs. Only 1 GRB is classified as the candidate of a jet break with energy injection. Another 41 and 3 GRBs are classified as the candidates with the lower and upper limits of the jet break time, respectively. Most jet breaks occur at 90 ks, with a typical opening angle θj = (2.5 ± 1.0)°. This gives a typical beaming correction factor for Type II GRBs, suggesting an even higher total GRB event rate density in the universe. Both isotropic and jet-corrected energies have a wide span in their distributions: log(Eγ,iso/erg) = 53.11 with σ = 0.84; log(EK,iso/erg) = 54.82 with σ = 0.56; log(Eγ/erg) = 49.54 with σ = 1.29; and log(EK/erg) = 51.33 with σ = 0.58. We also investigate several empirical correlations (Amati, Frail, Ghirlanda, and Liang–Zhang) previously discussed in the literature. We find that in general most of these relations are less tight than before. The existence of early jet breaks and hence small opening angle jets, which were detected in the Swfit era, is most likely the source of scatter. If one limits the sample to jet breaks later than 104 s, the Liang–Zhang relation remains tight and the Ghirlanda relation still exists. These relations are derived from Type II GRBs, and Type I GRBs usually deviate from them
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