18,944 research outputs found
Bosonization, Pairing, and Superconductivity of the Fermionic Tonks-Girardeau Gas
We determine some exact static and time-dependent properties of the fermionic
Tonks-Girardeau (FTG) gas, a spin-aligned one-dimensional Fermi gas with
infinitely strongly attractive zero-range odd-wave interactions. We show that
the two-particle reduced density matrix exhibits maximal off-diagonal
long-range order, and on a ring an FTG gas with an even number of atoms has a
highly degenerate ground state with quantization of Coriolis rotational flux
and high sensitivity to rotation and to external fields and accelerations. For
a gas initially under harmonic confinement we show that during an expansion the
momentum distribution undergoes a "dynamical bosonization", approaching that of
an ideal Bose gas without violating the Pauli exclusion principle.Comment: v3: 4 pages, 2 figures, revtex4. Section on the fermionic TG gas on a
ring revised, emphasizing degeneracy of ground state for even N and resultant
high sensitivity to external fields. Submitted to PR
Explicit Non-Abelian Monopoles and Instantons in SU(N) Pure Yang-Mills Theory
It is well known that there are no static non-Abelian monopole solutions in
pure Yang-Mills theory on Minkowski space R^{3,1}. We show that such solutions
exist in SU(N) gauge theory on the spaces R^2\times S^2 and R^1\times S^1\times
S^2 with Minkowski signature (-+++). In the temporal gauge they are solutions
of pure Yang-Mills theory on T^1\times S^2, where T^1 is R^1 or S^1. Namely,
imposing SO(3)-invariance and some reality conditions, we consistently reduce
the Yang-Mills model on the above spaces to a non-Abelian analog of the \phi^4
kink model whose static solutions give SU(N) monopole (-antimonopole)
configurations on the space R^{1,1}\times S^2 via the above-mentioned
correspondence. These solutions can also be considered as instanton
configurations of Yang-Mills theory in 2+1 dimensions. The kink model on
R^1\times S^1 admits also periodic sphaleron-type solutions describing chains
of n kink-antikink pairs spaced around the circle S^1 with arbitrary n>0. They
correspond to chains of n static monopole-antimonopole pairs on the space
R^1\times S^1\times S^2 which can also be interpreted as instanton
configurations in 2+1 dimensional pure Yang-Mills theory at finite temperature
(thermal time circle). We also describe similar solutions in Euclidean SU(N)
gauge theory on S^1\times S^3 interpreted as chains of n
instanton-antiinstanton pairs.Comment: 16 pages; v2: subsection on topological charges added, title
expanded, some coefficients corrected, version to appear in PR
Statistical properties of Klauder-Perelomov coherent states for the Morse potential
We present in this paper a realistic construction of the coherent states for
the Morse potential using the Klauder-Perelomov approach . We discuss the
statistical properties of these states, by deducing the Q- and P-distribution
functions. The thermal expectations for the quantum canonical ideal gas of the
Morse oscillators are also calculated
Nanotube-based scanning rotational microscope
A scheme of the scanning rotational microscope is designed. This scheme is
based on using carbon nanotubes simultaneously as a probe tip and as a bolt/nut
pair which converts translational displacements of two piezo actuators into
pure rotation of the probe tip. First-principles calculations of the
interaction energy between movable and rotational parts of the microscope
confirms the capability for its operation. The scanning rotational microscope
with a chemically functionalized nanotube-based tip can be used to study how
the interaction between individual molecules or a molecule and a surface
depends on their relative orientation.Comment: 4 pages, 3 figure
Multidimensional Worldline Instantons
We extend the worldline instanton technique to compute the vacuum pair
production rate for spatially inhomogeneous electric background fields, with
the spatial inhomogeneity being genuinely two or three dimensional, both for
the magnitude and direction of the electric field. Other techniques, such as
WKB, have not been applied to such higher dimensional problems. Our method
exploits the instanton dominance of the worldline path integral expression for
the effective action.Comment: 22 pages, 13 figure
Enhanced four-wave mixing via elimination of inhomogeneous broadening by coherent driving of quantum transition with control fields
We show that atoms from wide velocity interval can be concurrently involved
in Doppler-free two-photon resonant far from frequency degenerate four-wave
mixing with the aid of auxiliary electromagnetic field. This gives rise to
substantial enhancement of the output radiation generated in optically thick
medium. Numerical illustrations addressed to typical experimental conditions
are given.Comment: LaTeX2e, hyperref, 7 pages, 5 figures, to appear in PRA 1 august 200
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