6,724 research outputs found
Thermodynamics of the Schwarzschild-AdS black hole with a minimal length
Using the mass-smeared scheme of black holes, we study the thermodynamics of
black holes. Two interesting models are considered. One is the self-regular
Schwarzschild-AdS black hole whose mass density is given by the analogue to
probability densities of quantum hydrogen atoms. The other model is the same
black hole but whose mass density is chosen to be a rational fractional
function of radial coordinates. Both mass densities are in fact analytic
expressions of the -function. We analyze the phase structures of the
two models by investigating the heat capacity at constant pressure and the
Gibbs free energy in an isothermal-isobaric ensemble. Both models fail to decay
into the pure thermal radiation even with the positive Gibbs free energy due to
the existence of a minimal length. Furthermore, we extend our analysis to a
general mass-smeared form that is also associated with the -function,
and indicate the similar thermodynamic properties for various possible
mass-smeared forms based on the -function.Comment: v1: 25 pages, 14 figures; v2: 26 pages, 15 figures; v3: minor
revisions, final version to appear in Adv. High Energy Phy
Magic wavelengths for the 6s^2\,^1S_0-6s6p\,^3P_1^o transition in ytterbium atom
The static and dynamic electric-dipole polarizabilities of the 6s^2\,^1S_0
and 6s6p\,^3P_1^o states of Yb are calculated by using the relativistic ab
initio method. Focusing on the red detuning region to the
6s^2\,^1S_0-6s6p\,^3P_1^o transition, we find two magic wavelengths at
1035.7(2) nm and 612.9(2) nm for the 6s^2\,^1S_0-6s6p\,^3P_1^o, M_J=0
transition and three magic wavelengthes at 1517.68(6) nm, 1036.0(3) nm and
858(12) nm for the 6s^2\,^1S_0-6s6p\,^3P_1^o, M_J=\pm1 transitions. Such
magic wavelengths are of particular interest for attaining the
state-insensitive cooling, trapping, and quantum manipulation of neutral Yb
atom.Comment: 13 pages, 3 figure
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