13,639 research outputs found
Effective size of a trapped atomic Bose gas
We investigate the temperature-dependent effective size of a trapped
interacting atomic Bose gas within a mean field theory approximation. The
sudden shrinking of the average length, as observed in an earlier experiment by
Wang {\it et al.} [Chin. Phys. Lett. {\bf 20}, 799 (2003)], is shown to be a
good indication for Bose-Einstein condensation (BEC). Our study also supports
the use of the average width of a trapped Bose gas for a nondestructive
calibration of its temperature.Comment: RevTex4, 6 pages, 4 eps figures, to appear in Phys. Rev.
Prolongation Approach to B\"{a}cklund Transformation of Zhiber-Mikhailov-Shabat Equation
The prolongation structure of Zhiber-Mikhailov-Shabat (ZMS) equation is
studied by using Wahlquist-Estabrook's method. The Lax-pair for ZMS equation
and Riccati equations for pseudopotentials are formulated respectively from
linear and nonlinear realizations of the prolongation structure. Based on
nonlinear realization of the prolongation structure, an auto-Bcklund
transformation of ZMS equation is obtained.Comment: Revtex, no figures, to appear in J. Math. Phys. (1996
Heat conductivity in the presence of a quantized degree of freedom
We propose a model with a quantized degree of freedom to study the heat
transport in quasi-one dimensional system. Our simulations reveal three
distinct temperature regimes. In particular, the intermediate regime is
characterized by heat conductivity with a temperature exponent much
greater than 1/2 that was generally found in systems with point-like particles.
A dynamical investigation indicates the occurrence of non-equipartition
behavior in this regime. Moreover, the corresponding Poincar\'e section also
shows remarkably characteristic patterns, completely different from the cases
of point-like particles.Comment: 7 pages, 4 figure
On C*-algebras related to constrained representations of a free group
We consider representations of the free group on two generators such
that the norm of the sum of the generators and their inverses is bounded by
. These -constrained representations determine a C*-algebra
for each . We prove that these C*-algebras form a
continuous bundle of C*-algebras over and calculate their K-groups.Comment: 9 page
A pQCD-based description of heavy and light flavor jet quenching
We present a successful description of the medium modification of light and
heavy flavor jets within a perturbative QCD (pQCD) based approach. Only the
couplings involving hard partons are assumed to be weak. The effect of the
medium on a hard parton, per unit time, is encoded in terms of three
non-perturbative, related transport coefficients which describe the transverse
momentum squared gained, the elastic energy loss and diffusion in elastic
energy transfer. A fit of the centrality dependence of the suppression and the
azimuthal anisotropy of leading hadrons tends to favor somewhat larger
transport coefficients for heavy quarks. Imposing additional constraints based
on leading order (LO) Hard Thermal Loop (HTL) effective theory, leads to a
worsening of the fit.Comment: v2, 4 pages, 3 figure
Scalable quantum computing with Josephson charge qubits
A goal of quantum information technology is to control the quantum state of a
system, including its preparation, manipulation, and measurement. However,
scalability to many qubits and controlled connectivity between any selected
qubits are two of the major stumbling blocks to achieve quantum computing (QC).
Here we propose an experimental method, using Josephson charge qubits, to
efficiently solve these two central problems. The proposed QC architecture is
scalable since any two charge qubits can be effectively coupled by an
experimentally accessible inductance. More importantly, we formulate an
efficient and realizable QC scheme that requires only one (instead of two or
more) two-bit operation to implement conditional gates.Comment: 4 pages, 2 figure
Effects of critical temperature inhomogeneities on the voltage-current characteristics of a planar superconductor near the Berezinskii-Kosterlitz-Thouless transition
We analyze numerically how the voltage-current (V-I) characteristics near the
so-called Berezinskii-Kosterlitz-Thouless (BKT) transition of 2D
superconductors are affected by a random spatial Gaussian distribution of
critical temperature inhomogeneities with long characteristic lengths (much
larger than the in-plane superconducting coherence length amplitude). Our
simulations allow to quantify the broadening around the average BKT transition
temperature of both the exponent alpha in V I^alpha and of the resistance V/I.
These calculations reveal that strong spatial redistributions of the local
current will occur around the transition as either I or the temperature T are
varied. Our results also support that the condition alpha=3 provides a good
estimate for the location of the average BKT transition temperature, and that
extrapolating to alpha->1 the alpha(T) behaviour well below the transition
provides a good estimate for the average mean-field critical temperature.Comment: 18 pages; pdfLaTeX; 1 TeX file + 8 PDF files for figures
(figs.1,2,3a,3b,4,5a,5b,6
Weak and strong measurement of a qubit using a switching-based detector
We analyze the operation of a switching-based detector that probes a qubit's
observable that does not commute with the qubit's Hamiltonian, leading to a
nontrivial interplay between the measurement and free-qubit dynamics. In order
to obtain analytic results and develop intuitive understanding of the different
possible regimes of operation, we use a theoretical model where the detector is
a quantum two-level system that is constantly monitored by a macroscopic
system. We analyze how to interpret the outcome of the measurement and how the
state of the qubit evolves while it is being measured. We find that the answers
to the above questions depend on the relation between the different parameters
in the problem. In addition to the traditional strong-measurement regime, we
identify a number of regimes associated with weak qubit-detector coupling. An
incoherent detector whose switching time is measurable with high accuracy can
provide high-fidelity information, but the measurement basis is determined only
upon switching of the detector. An incoherent detector whose switching time can
be known only with low accuracy provides a measurement in the qubit's energy
eigenbasis with reduced measurement fidelity. A coherent detector measures the
qubit in its energy eigenbasis and, under certain conditions, can provide
high-fidelity information.Comment: 20 pages (two-column), 6 figure
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