13,696 research outputs found
The critical radiation intensity for direct collapse black hole formation: dependence on the radiation spectral shape
It has been proposed that supermassive black holes (SMBHs) are originated
from direct-collapse black holes (DCBHs) that are formed at z gtrsim 10 in the
primordial gas in the case that H2 cooling is suppressed by strong external
radiation. In this work, we study the critical specific intensity J^crit
required for DCBH formation for various radiation spectral shapes by a series
of one-zone calculations of a collapsing primordial- gas cloud. We calculate
the critical specific intensity at the Lyman-Werner (LW) bands J^crit_LW,21 (in
units of 10^-21 erg s^-1 Hz^-1 sr^-1 cm^-2) for realistic spectra of metal-poor
galaxies. We find J^crit is not sensitive to the age or metallicity for the
constant star formation galaxies with J^crit_LW,21 = 1300-1400, while J^crit
decreases as galaxies become older or more metal-enriched for the instantaneous
starburst galaxies. However, such dependence for the instantaneous starburst
galaxies is weak for the young or extremely metal-poor galaxies: J^crit_LW,21 =
1000-1400 for the young galaxies and J^crit_LW,21 approx 1400 for the extremely
metal-poor galaxies. The typical value of J^crit for the realistic spectra is
higher than those expected in the literature, which affects the estimated DCBH
number density n_DCBH. By extrapolating the result of Dijkstra, Ferrara and
Mesinger, we obtain n_DCBH sim 10^-10 cMpc^-3 at z = 10, although there is
still large uncertainty in this estimation.Comment: 11 pages, 6 figures, submitted to MNRA
Developments in Finite Temperature QCD on the Lattice with Dynamical Quarks
I report on some recent developments in nonperturbative studies of finite
temperature QCD with dynamical quarks on the lattice. I discuss new studies of
improved lattice actions and their application to finite temperature QCD. I
also summarize the status of lattice investigations about the order of the
finite temperature QCD transition for the case of two flavors of degenerate
light quarks, using both staggered and Wilson lattice fermions.Comment: Review presented at the International Workshop on ``Physics of
Relativistic Heavy Ion Collisions'', Kyoto, Japan, 9--11 June 1997. To be
published in the Proceedings [Prog. Theor. Phys., Suppl.
From Geometry to Quantum Computation
The aim of this paper is to introduce our idea of Holonomic Quantum
Computation (Computer). Our model is based on both harmonic oscillators and
non-linear quantum optics, not on spins of usual quantum computation and our
method is moreover completely geometrical. We hope that therefore our model may
be strong for decoherence.Comment: Latex File, 12 pages, A talk at the 2nd International Symposium ``
Quantum Theory and Symmetries'', Krakow, 18-21, July, 200
Introduction to Grassmann Manifolds and Quantum Computation
Geometrical aspects of quantum computing are reviewed elementarily for
non-experts and/or graduate students who are interested in both Geometry and
Quantum Computation.
In the first half we show how to treat Grassmann manifolds which are very
important examples of manifolds in Mathematics and Physics. Some of their
applications to Quantum Computation and its efficiency problems are shown in
the second half. An interesting current topic of Holonomic Quantum Computation
is also covered.
In the Appendix some related advanced topics are discussed.Comment: Latex File, 28 pages, corrected considerably in the process of
refereeing. to appear in Journal of Applied Mathematic
Exponentiation of certain Matrices related to the Four Level System by use of the Magic Matrix
In this paper we show how to calculate explicitly the exponential of certain
matrices, which are evolution operators governing the interaction of the four
level system of atoms and the radiation, etc. We present a consistent method in
terms of the magic matrix by Makhlin.
As a closely related subject, we derive a closed form expression of the
Baker-Campbell-Hausdorff formula for a class of matrices in SU(4), by use of
the method developed by the present authors in quant-ph/0610009.Comment: Latex ; 13 pages ; 2 figures ; substantial changes (including the
title) made. To appear in Yokohama Mathematical Journal (2007
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