1,553 research outputs found
A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
We use a two-photon dressing field to create an effective vector gauge
potential for Bose-condensed Rb atoms in the F=1 hyperfine ground state. The
dressed states in this Raman field are spin and momentum superpositions, and we
adiabatically load the atoms into the lowest energy dressed state. The
effective Hamiltonian of these neutral atoms is like that of charged particles
in a uniform magnetic vector potential, whose magnitude is set by the strength
and detuning of Raman coupling. The spin and momentum decomposition of the
dressed states reveals the strength of the effective vector potential, and our
measurements agree quantitatively with a simple single-particle model. While
the uniform effective vector potential described here corresponds to zero
magnetic field, our technique can be extended to non-uniform vector potentials,
giving non-zero effective magnetic fields.Comment: 5 pages, submitted to Physical Review Letter
Condensate fraction in a 2D Bose gas measured across the Mott-insulator transition
We realize a single-band 2D Bose-Hubbard system with Rb atoms in an optical
lattice and measure the condensate fraction as a function of lattice depth,
crossing from the superfluid to the Mott-insulating phase. We quantitatively
identify the location of the superfluid to normal transition by observing when
the condensed fraction vanishes. Our measurement agrees with recent quantum
Monte Carlo calculations for a finite-sized 2D system to within experimental
uncertainty.Comment: 4 pages, 3 figure
Smooth analysis of the condition number and the least singular value
Let \a be a complex random variable with mean zero and bounded variance.
Let be the random matrix of size whose entries are iid copies of
\a and be a fixed matrix of the same size. The goal of this paper is to
give a general estimate for the condition number and least singular value of
the matrix , generalizing an earlier result of Spielman and Teng for
the case when \a is gaussian.
Our investigation reveals an interesting fact that the "core" matrix does
play a role on tail bounds for the least singular value of . This
does not occur in Spielman-Teng studies when \a is gaussian.
Consequently, our general estimate involves the norm .
In the special case when is relatively small, this estimate is nearly
optimal and extends or refines existing results.Comment: 20 pages. An erratum to the published version has been adde
Stability of the Excitonic Phase in Bilayer Quantum Hall Systems at Total Filling One -- Effects of Finite Well Width and Pseudopotentials --
The ground state of a bilayer quantum Hall system at with
model pseudopotential is investigated by the DMRG method. Firstly,
pseudopotential parameters appropriate for the system with finite layer
thickness are derived, and it is found that the finite thickness makes the
excitonic phase more stable. Secondly, a model, where only a few
pseudopotentials with small relative angular momentum have finite values, is
studied, and it is clarified how the excitonic phase is destroyed as
intra-layer pseudopotential becomes larger. The importance of the intra-layer
repulsive interaction at distance twice of the magnetic length for the
destruction of the excitonic phase is found.Comment: 7 pages, 7 figure
A synthetic electric force acting on neutral atoms
Electromagnetism is a simple example of a gauge theory where the underlying
potentials -- the vector and scalar potentials -- are defined only up to a
gauge choice. The vector potential generates magnetic fields through its
spatial variation and electric fields through its time-dependence. We
experimentally produce a synthetic gauge field that emerges only at low energy
in a rubidium Bose-Einstein condensate: the neutral atoms behave as charged
particles do in the presence of a homogeneous effective vector potential. We
have generated a synthetic electric field through the time dependence of an
effective vector potential, a physical consequence even though the vector
potential is spatially uniform
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