127,756 research outputs found
Quantum phase transition and engineering in two-component BEC in optical lattices
In this paper we review recent progress in studying quantum phase transitions
in one- and two-component Bose-Einstein condensates (BEC) in optical lattices.
These phase transitions involve the emergence and disappearance of quantum
coherence over whole optical lattice and of linear superposition of macroscopic
quantum states. The latter may provide new means to engineer and to manipulate
novel macroscopic quantum states and novel coherent atomic beams for quantum
information processing, quantum computing etc.Comment: Format: LaTex2e. 7 pages, no figure. Talk at the Yang Symposium (in
honor of C.N. Yang's 80th birthday), Beijing, China, June 2002. To appear in
the Proceeding
Direct and secondary nuclear excitation with x-ray free-electron lasers
The direct and secondary nuclear excitation produced by an x-ray free
electron laser when interacting with a solid-state nuclear target is
investigated theoretically. When driven at the resonance energy, the x-ray free
electron laser can produce direct photoexcitation. However, the dominant
process in that interaction is the photoelectric effect producing a cold and
very dense plasma in which also secondary processes such as nuclear excitation
by electron capture may occur. We develop a realistic theoretical model to
quantify the temporal dynamics of the plasma and the magnitude of the secondary
excitation therein. Numerical results show that depending on the nuclear
transition energy and the temperature and charge states reached in the plasma,
secondary nuclear excitation by electron capture may dominate the direct
photoexcitation by several orders of magnitude, as it is the case for the 4.8
keV transition from the isomeric state of Mo, or it can be negligible,
as it is the case for the 14.4 keV M\"ossbauer transition in
. These findings are most relevant for future nuclear quantum
optics experiments at x-ray free electron laser facilities.Comment: 17 pages, 7 figures; minor corrections made; accepted by Physics of
Plasma
Universality of Low-Energy Scattering in 2+1 Dimensions: The Non Symmetric Case
For a very large class of potentials, , , we
prove the universality of the low energy scattering amplitude, . The result is . The
only exceptions occur if happens to have a zero energy bound state. Our new
result includes as a special subclass the case of rotationally symmetric
potentials, .Comment: 65 pages, Latex, significant changes, new sections and appendice
Hidden symmetry and quantum phases in spin-3/2 cold atomic systems
Optical traps and lattices provide a new opportunity to study strongly
correlated high spin systems with cold atoms. In this article, we review the
recent progress on the hidden symmetry properties in the simplest high spin
fermionic systems with hyperfine spin , which may be realized with atoms
of Cs, Be, Ba, Ba, and Hg. A {\it generic}
SO(5) or isomorphically, ) symmetry is proved in such systems with the
s-wave scattering interactions in optical traps, or with the on-site Hubbard
interactions in optical lattices. Various important features from this high
symmetry are studied in the Fermi liquid theory, the mean field phase diagram,
and the sign problem in quantum Monte-Carlo simulations. In the s-wave quintet
Cooper pairing phase, the half-quantum vortex exhibits the global analogue of
the Alice string and non-Abelian Cheshire charge properties in gauge theories.
The existence of the quartetting phase, a four-fermion counterpart of the
Cooper pairing phase, and its competition with other orders are studied in one
dimensional spin-3/2 systems. We also show that counter-intuitively quantum
fluctuations in spin-3/2 magnetic systems are even stronger than those in
spin-1/2 systems
Combinatorial interpretation of Haldane-Wu fractional exclusion statistics
Assuming that the maximal allowed number of identical particles in state is
an integer parameter, q, we derive the statistical weight and analyze the
associated equation which defines the statistical distribution. The derived
distribution covers Fermi-Dirac and Bose-Einstein ones in the particular cases
q = 1 and q -> infinity (n_i/q -> 1), respectively. We show that the derived
statistical weight provides a natural combinatorial interpretation of
Haldane-Wu fractional exclusion statistics, and present exact solutions of the
distribution equation.Comment: 8 pages, 2 eps-figure
Application of Navier-Stokes analysis to stall flutter
A solution procedure was developed to investigate the two-dimensional, one- or two-dimensional flutter characteristics of arbitrary airfoils. This procedure requires a simultaneous integration in time of the solid and fluid equations of motion. The fluid equations of motion are the unsteady compressible Navier-Stokes equations, solved in a body-fitted moving coordinate system using an approximate factorization scheme. The solid equations of motion are integrated in time using an Euler implicit scheme. Flutter is said to occur if small disturbances imposed on the airfoil attitude lead to divergent oscillatory motions at subsequent times. The flutter characteristics of airfoils in subsonic speed at high angles of attack and airfoils in high subsonic and transonic speeds at low angles of attack are investigated. The stall flutter characteristics are also predicted using the same procedure
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