



@article {2371,
	title = {Quantum Physics Meets Music: A "Real-Time" Guitar Recording Using Rydberg-Atoms and Electromagnetically Induced Transparency},
	year = {2019},
	month = {04/01/2019},
	abstract = {<p><span style="color: rgb(51, 51, 51); font-family: \&quot;Open Sans\&quot;, \&quot;Lucida Grande\&quot;, \&quot;Helvetica Neue\&quot;, Helvetica, Arial, sans-serif; font-size: 14px;">We demonstrate how Rydberg atoms and the phenomena of electromagnetically induced transparency can be used to aid in the recording of a musical instrument in real time as it is played. Also, by using two different atomic species (cesium and rubidium) in the same vapor cell, we demonstrate the ability to record two guitars simultaneously, where each atomic species detects and allows for the recording of each guitar separately. The approach shows how audio data (the musical composition) can be detected with a quantum system, illustrating how we can control ensembles of atoms to such an extent that we can use them in this \&quot;entertaining\&quot; example of recording a musical instrument.</span></p>},
	url = {https://arxiv.org/abs/1904.01952},
	author = {Christopher L. Holloway and Matthew T. Simons and Abdulaziz H. Haddab and Carl J. Williams and Maxwell W. Holloway}
}
@article {1412,
	title = {Chern numbers hiding in time-of-flight images},
	journal = {Physical Review A},
	volume = {84},
	year = {2011},
	month = {2011/12/21},
	abstract = {  We present a technique for detecting topological invariants -- Chern numbers
-- from time-of-flight images of ultra-cold atoms. We show that the Chern
numbers of integer quantum Hall states of lattice fermions leave their
fingerprints in the atoms{\textquoteright} momentum distribution. We analytically demonstrate
that the number of local maxima in the momentum distribution is equal to the
Chern number in two limiting cases, for large hopping anisotropy and in the
continuum limit. In addition, our numerical simulations beyond these two limits
show that these local maxima persist for a range of parameters. Thus, an
everyday observable in cold atom experiments can serve as a useful tool to
characterize and visualize quantum states with non-trivial topology.
},
	doi = {10.1103/PhysRevA.84.063629},
	url = {http://arxiv.org/abs/1105.3100v3},
	author = {Erhai Zhao and Noah Bray-Ali and Carl J. Williams and I. B. Spielman and Indubala I. Satija}
}
@article {1303,
	title = {Detecting paired and counterflow superfluidity via dipole oscillations},
	journal = {Physical Review A},
	volume = {84},
	year = {2011},
	month = {2011/10/27},
	abstract = {  We suggest an experimentally feasible procedure to observe paired and
counterflow superfluidity in ultra-cold atom systems. We study the time
evolution of one-dimensional mixtures of bosonic atoms in an optical lattice
following an abrupt displacement of an additional weak confining potential. We
find that the dynamic responses of the paired superfluid phase for attractive
inter-species interactions and the counterflow superfluid phase for repulsive
interactions are qualitatively distinct and reflect the quasi long-range order
that characterizes these states. These findings suggest a clear experimental
procedure to detect these phases, and give an intuitive insight into their
dynamics.
},
	doi = {10.1103/PhysRevA.84.041609},
	url = {http://arxiv.org/abs/1103.3513v3},
	author = {Anzi Hu and L. Mathey and Eite Tiesinga and Ippei Danshita and Carl J. Williams and Charles W. Clark}
}
@article {1413,
	title = {Noise correlations of one-dimensional Bose mixtures in optical lattices},
	journal = {Physical Review A},
	volume = {81},
	year = {2010},
	month = {2010/6/2},
	abstract = {  We study the noise correlations of one-dimensional binary Bose mixtures, as a
probe of their quantum phases. In previous work, we found a rich structure of
many-body phases in such mixtures, such as paired and counterflow
superfluidity. Here we investigate the signature of these phases in the noise
correlations of the atomic cloud after time-of-flight expansion, using both
Luttinger liquid theory and the time-evolving block decimation (TEBD) method.
We find that paired and counterflow superfluidity exhibit distinctive features
in the noise spectra. We treat both extended and inhomogeneous systems, and our
numerical work shows that the essential physics of the extended systems is
present in the trapped-atom systems of current experimental interest. For
paired and counterflow superfluid phases, we suggest methods for extracting
Luttinger parameters from noise correlation spectroscopy.
},
	doi = {10.1103/PhysRevA.81.063602},
	url = {http://arxiv.org/abs/1002.4918v2},
	author = {Anzi Hu and L. Mathey and Carl J. Williams and Charles W. Clark}
}
@article {1299,
	title = {Counterflow and paired superfluidity in one-dimensional Bose mixtures in  optical lattices
},
	journal = {Physical Review A},
	volume = {80},
	year = {2009},
	month = {2009/8/24},
	abstract = {  We study the quantum phases of mixtures of ultra-cold bosonic atoms held in
an optical lattice that confines motion or hopping to one spatial dimension.
The phases are found by using Tomonaga-Luttinger liquid theory as well as the
numerical method of time evolving block decimation (TEBD). We consider a binary
mixture with repulsive intra-species interactions, and either repulsive or
attractive inter-species interaction. For a homogeneous system, we find paired-
and counterflow-superfluid phases at different filling and hopping energies. We
also predict parameter regions in which these types of superfluid order coexist
with charge density wave order. We show that the Tomonaga-Luttinger liquid
theory and TEBD qualitatively agree on the location of the phase boundary to
superfluidity. We then describe how these phases are modified and can be
detected when an additional harmonic trap is present. In particular, we show
how experimentally measurable quantities, such as time-of-flight images and the
structure factor, can be used to distinguish the quantum phases. Finally, we
suggest applying a Feshbach ramp to detect the paired superfluid state, and a
$\pi/2$ pulse followed by Bragg spectroscopy to detect the counterflow
superfluid phase.
},
	doi = {10.1103/PhysRevA.80.023619},
	url = {http://arxiv.org/abs/0906.2150v1},
	author = {Anzi Hu and L. Mathey and Ippei Danshita and Eite Tiesinga and Carl J. Williams and Charles W. Clark}
}
@article {1404,
	title = {Theoretical analysis of perfect quantum state transfer with  superconducting qubits
},
	journal = {Physical Review B},
	volume = {78},
	year = {2008},
	month = {2008/9/24},
	abstract = {  Superconducting quantum circuits, fabricated with multiple layers, are
proposed to implement perfect quantum state transfer between nodes of a
hypercube network. For tunable devices such as the phase qubit, each node can
transmit quantum information to any other node at a constant rate independent
of the distance between qubits. The physical limits of quantum state transfer
in this network are theoretically analyzed, including the effects of disorder,
decoherence, and higher-order couplings.
},
	doi = {10.1103/PhysRevB.78.094516},
	url = {http://arxiv.org/abs/0708.0577v3},
	author = {Frederick W. Strauch and Carl J. Williams}
}
@article {1292,
	title = {Tunneling phase gate for neutral atoms in a double-well lattice},
	journal = {Physical Review A},
	volume = {77},
	year = {2008},
	month = {2008/5/12},
	abstract = {  We propose a new two--qubit phase gate for ultra--cold atoms confined in an
experimentally realized tilted double--well optical lattice [Sebby--Strabley et
al., Phys. Rev. A {\bf 73} 033605 (2006)]. Such a lattice is capable of
confining pairs of atoms in a two--dimensional array of double--well potentials
where control can be exercised over the barrier height and the energy
difference of the minima of the two wells (known as the {\textquoteleft}{\textquoteleft}tilt{\textquoteright}{\textquoteright}). The four
lowest single--particle motional states consist of two pairs of motional states
in which each pair is localized on one side of the central barrier, allowing
for two atoms confined in such a lattice to be spatially separated qubits. We
present a time--dependent scheme to manipulate the tilt to induce tunneling
oscillations which produce a collisional phase gate. Numerical simulations
demonstrate that this gate can be performed with high fidelity.
},
	doi = {10.1103/PhysRevA.77.050304},
	url = {http://arxiv.org/abs/0712.1856v1},
	author = {Frederick W. Strauch and Mark Edwards and Eite Tiesinga and Carl J. Williams and Charles W. Clark}
}
@article {1405,
	title = {Effects of finite temperature on the Mott insulator state},
	journal = {Physical Review A},
	volume = {73},
	year = {2006},
	month = {2006/1/20},
	abstract = {  We investigate the effects of finite temperature on ultracold Bose atoms
confined in an optical lattice plus a parabolic potential in the Mott insulator
state. In particular, we analyze the temperature dependence of the density
distribution of atomic pairs in the lattice, by means of exact Monte-Carlo
simulations. We introduce a simple model that quantitatively accounts for the
computed pair density distributions at low enough temperatures. We suggest that
the temperature dependence of the atomic pair statistics may be used to
estimate the system{\textquoteright}s temperature at energies of the order of the atoms{\textquoteright}
interaction energy.
},
	doi = {10.1103/PhysRevA.73.013408},
	url = {http://arxiv.org/abs/cond-mat/0407075v3},
	author = {Guido Pupillo and Carl J. Williams and Nikolay V. Prokof{\textquoteright}ev}
}
@article {1416,
	title = {Mean-field treatment of the damping of the oscillations of a 1D Bose gas  in an optical lattice
},
	journal = {Physical Review A},
	volume = {73},
	year = {2006},
	month = {2006/1/9},
	abstract = {  We present a theoretical treatment of the surprisingly large damping observed
recently in one-dimensional Bose-Einstein atomic condensates in optical
lattices. We show that time-dependent Hartree-Fock-Bogoliubov (HFB)
calculations can describe qualitatively the main features of the damping
observed over a range of lattice depths. We also derive a formula of the
fluctuation-dissipation type for the damping, based on a picture in which the
coherent motion of the condensate atoms is disrupted as they try to flow
through the random local potential created by the irregular motion of
noncondensate atoms. We expect this irregular motion to result from the
well-known dynamical instability exhibited by the mean-field theory for these
systems. When parameters for the characteristic strength and correlation times
of the fluctuations, obtained from the HFB calculations, are substituted in the
damping formula, we find very good agreement with the experimentally-observed
damping, as long as the lattice is shallow enough for the fraction of atoms in
the Mott insulator phase to be negligible. We also include, for completeness,
the results of other calculations based on the Gutzwiller ansatz, which appear
to work better for the deeper lattices.
},
	doi = {10.1103/PhysRevA.73.013605},
	url = {http://arxiv.org/abs/cond-mat/0410677v4},
	author = {Julio Gea-Banacloche and Ana Maria Rey and Guido Pupillo and Carl J. Williams and Charles W. Clark}
}
@article {1410,
	title = {Pseudo-fermionization of 1-D bosons in optical lattices},
	journal = {New Journal of Physics},
	volume = {8},
	year = {2006},
	month = {2006/08/30},
	pages = {161 - 161},
	abstract = {  We present a model that generalizes the Bose-Fermi mapping for strongly
correlated 1D bosons in an optical lattice, to cases in which the average
number of atoms per site is larger than one. This model gives an accurate
account of equilibrium properties of such systems, in parameter regimes
relevant to current experiments. The application of this model to
non-equilibrium phenomena is explored by a study of the dynamics of an atom
cloud subject to a sudden displacement of the confining potential. Good
agreement is found with results of recent experiments. The simplicity and
intuitive appeal of this model make it attractive as a general tool for
understanding bosonic systems in the strongly correlated regime.
},
	doi = {10.1088/1367-2630/8/8/161},
	url = {http://arxiv.org/abs/cond-mat/0505325v2},
	author = {Guido Pupillo and Ana Maria Rey and Carl J. Williams and Charles W. Clark}
}
@article {1415,
	title = {Bragg Spectroscopy of ultracold atoms loaded in an optical lattice},
	journal = {Physical Review A},
	volume = {72},
	year = {2005},
	month = {2005/8/12},
	abstract = {  We study Bragg spectroscopy of ultra-cold atoms in one-dimensional optical
lattices as a method for probing the excitation spectrum in the Mott insulator
phase, in particular the one particle-hole excitation band. Within the
framework of perturbation theory we obtain an analytical expression for the
dynamic structure factor $S(q,\omega)$ and use it to calculate the imparted
energy which has shown to be a relevant observable in recent experiments. We
test the accuracy of our approximations by comparing them with numerically
exact solutions of the Bose-Hubbard model in restricted cases and establish the
limits of validity of our linear response analysis. Finally we show that when
the system is deep in the Mott insulator regime, its response to the Bragg
perturbation is temperature dependent. We suggest that this dependence might be
used as a tool to probe temperatures of order of the Mott gap.
},
	doi = {10.1103/PhysRevA.72.023407},
	url = {http://arxiv.org/abs/cond-mat/0406552v2},
	author = {Ana Maria Rey and P. Blair Blakie and Guido Pupillo and Carl J. Williams and Charles W. Clark}
}
@article {1290,
	title = {Multichannel quantum-defect theory for slow atomic collisions},
	journal = {Physical Review A},
	volume = {72},
	year = {2005},
	month = {2005/10/28},
	abstract = {  We present a multichannel quantum-defect theory for slow atomic collisions
that takes advantages of the analytic solutions for the long-range potential,
and both the energy and the angular-momentum insensitivities of the short-range
parameters. The theory provides an accurate and complete account of scattering
processes, including shape and Feshbach resonances, in terms of a few
parameters such as the singlet and the triplet scattering lengths. As an
example, results for $^{23}$Na-$^{23}$Na scattering are presented and compared
close-coupling calculations.
},
	doi = {10.1103/PhysRevA.72.042719},
	url = {http://arxiv.org/abs/physics/0508060v1},
	author = {Bo Gao and Eite Tiesinga and Carl J. Williams and Paul S. Julienne}
}
@article {1418,
	title = {Scalable register initialization for quantum computing in an optical  lattice
},
	journal = {Journal of Physics B: Atomic, Molecular and Optical Physics},
	volume = {38},
	year = {2005},
	month = {2005/06/14},
	pages = {1687 - 1694},
	abstract = {  The Mott insulator state created by loading an atomic Bose-Einstein
condensate (BEC) into an optical lattice may be used as a means to prepare a
register of atomic qubits in a quantum computer. Such architecture requires a
lattice commensurately filled with atoms, which corresponds to the insulator
state only in the limit of zero inter-well tunneling. We show that a lattice
with spatial inhomogeneity created by a quadratic magnetic trapping potential
can be used to isolate a subspace in the center which is impervious to
hole-hoping. Components of the wavefunction with more than one atom in any well
can be projected out by selective measurement on a molecular photo-associative
transition. Maintaining the molecular coupling induces a quantum Zeno effect
that can sustain a commensurately filled register for the duration of a quantum
computation.
},
	doi = {10.1088/0953-4075/38/11/010},
	url = {http://arxiv.org/abs/quant-ph/0312069v1},
	author = {Gavin K. Brennen and Guido Pupillo and Ana Maria Rey and Charles W. Clark and Carl J. Williams}
}
@article {1409,
	title = {Ultracold atoms confined in an optical lattice plus parabolic potential:  a closed-form approach
},
	journal = {Physical Review A},
	volume = {72},
	year = {2005},
	month = {2005/9/22},
	abstract = {  We discuss interacting and non-interacting one dimensional atomic systems
trapped in an optical lattice plus a parabolic potential. We show that, in the
tight-binding approximation, the non-interacting problem is exactly solvable in
terms of Mathieu functions. We use the analytic solutions to study the
collective oscillations of ideal bosonic and fermionic ensembles induced by
small displacements of the parabolic potential. We treat the interacting boson
problem by numerical diagonalization of the Bose-Hubbard Hamiltonian. From
analysis of the dependence upon lattice depth of the low-energy excitation
spectrum of the interacting system, we consider the problems of
"fermionization" of a Bose gas, and the superfluid-Mott insulator transition.
The spectrum of the noninteracting system turns out to provide a useful guide
to understanding the collective oscillations of the interacting system,
throughout a large and experimentally relevant parameter regime.
},
	doi = {10.1103/PhysRevA.72.033616},
	url = {http://arxiv.org/abs/cond-mat/0503477v2},
	author = {Ana Maria Rey and Guido Pupillo and Charles W. Clark and Carl J. Williams}
}
@article {1411,
	title = {Advantages of high-speed technique for quantum key distribution; reply  to quant-ph/0407050
},
	year = {2004},
	month = {2004/07/18},
	abstract = {  We respond to a comment on our high-speed technique for the implementation of
free-space quantum key distribution (QKD). The model used in the comment
assigns inappropriately high link losses to the technique in question. We show
that the use of reasonable loss parameters in the model invalidates the
comment{\textquoteright}s main conclusion and highlights the benefits of increased transmission
rates.
},
	url = {http://arxiv.org/abs/quant-ph/0407139v1},
	author = {J. C. Bienfang and Charles W. Clark and Carl J. Williams and E. W. Hagley and Jesse Wen}
}
@article {1420,
	title = {Quantum key distribution with 1.25 Gbps clock synchronization},
	journal = {Optics Express},
	volume = {12},
	year = {2004},
	month = {2004/05/17},
	pages = {2011},
	abstract = {  We have demonstrated the exchange of sifted quantum cryptographic key over a
730 meter free-space link at rates of up to 1.0 Mbps, two orders of magnitude
faster than previously reported results. A classical channel at 1550 nm
operates in parallel with a quantum channel at 845 nm. Clock recovery
techniques on the classical channel at 1.25 Gbps enable quantum transmission at
up to the clock rate. System performance is currently limited by the timing
resolution of our silicon avalanche photodiode detectors. With improved
detector resolution, our technique will yield another order of magnitude
increase in performance, with existing technology.
},
	doi = {10.1364/OPEX.12.002011},
	url = {http://arxiv.org/abs/quant-ph/0405097v1},
	author = {J. C. Bienfang and A. J. Gross and A. Mink and B. J. Hershman and A. Nakassis and X. Tang and R. Lu and D. H. Su and Charles W Clark and Carl J. Williams and E. W. Hagley and Jesse Wen}
}
@article {1406,
	title = {Relativistic many-body calculations of electric-dipole matrix elements,  lifetimes and polarizabilities in rubidium
},
	journal = {Physical Review A},
	volume = {69},
	year = {2004},
	month = {2004/2/27},
	abstract = {  Electric-dipole matrix elements for ns-n{\textquoteright}p, nd-n{\textquoteright}p, and 6d-4f transitions in
Rb are calculated using a relativistic all-order method. A third-order
calculation is also carried out for these matrix elements to evaluate the
importance of the high-order many-body perturbation theory contributions. The
all-order matrix elements are used to evaluate lifetimes of ns and np levels
with n=6, 7, 8 and nd levels with n=4, 5, 6 for comparison with experiment and
to provide benchmark values for these lifetimes. The dynamic polarizabilities
are calculated for ns states of rubidium. The resulting lifetime and
polarizability values are compared with available theory and experiment.
},
	doi = {10.1103/PhysRevA.69.022509},
	url = {http://arxiv.org/abs/physics/0307057v1},
	author = {M. S. Safronova and Carl J. Williams and Charles W. Clark}
}
@article {1419,
	title = {Scalable quantum computation in systems with Bose-Hubbard dynamics},
	journal = {Journal of Modern Optics},
	volume = {51},
	year = {2004},
	month = {2004/02/15},
	pages = {2395 - 2404},
	abstract = {  Several proposals for quantum computation utilize a lattice type architecture
with qubits trapped by a periodic potential. For systems undergoing many body
interactions described by the Bose-Hubbard Hamiltonian, the ground state of the
system carries number fluctuations that scale with the number of qubits. This
process degrades the initialization of the quantum computer register and can
introduce errors during error correction. In an earlier manuscript we proposed
a solution to this problem tailored to the loading of cold atoms into an
optical lattice via the Mott Insulator phase transition. It was shown that by
adding an inhomogeneity to the lattice and performing a continuous measurement,
the unit filled state suitable for a quantum computer register can be
maintained. Here, we give a more rigorous derivation of the register fidelity
in homogeneous and inhomogeneous lattices and provide evidence that the
protocol is effective in the finite temperature regime.
},
	doi = {10.1080/09500340408231798},
	url = {http://arxiv.org/abs/quant-ph/0403052v2},
	author = {Guido Pupillo and Ana Maria Rey and Gavin Brennen and Carl J. Williams and Charles W. Clark}
}
@article {1414,
	title = {Bogoliubov approach to superfluidity of atoms in an optical lattice},
	journal = {Journal of Physics B: Atomic, Molecular and Optical Physics},
	volume = {36},
	year = {2003},
	month = {2003/03/14},
	pages = {825 - 841},
	abstract = {  We use the Bogoliubov theory of atoms in an optical lattice to study the
approach to the Mott-insulator transition. We derive an explicit expression for
the superfluid density based on the rigidity of the system under phase
variations. This enables us to explore the connection between the quantum
depletion of the condensate and the quasi-momentum distribution on the one hand
and the superfluid fraction on the other. The approach to the insulator phase
may be characterized through the filling of the band by quantum depletion,
which should be directly observable via the matter wave interference patterns.
We complement these findings by self-consistent Hartree-Fock-Bogoliubov-Popov
calculations for one-dimensional lattices including the effects of a parabolic
trapping potential.
},
	doi = {10.1088/0953-4075/36/5/304},
	url = {http://arxiv.org/abs/cond-mat/0210550v2},
	author = {Ana Maria Rey and Keith Burnett and Robert Roth and Mark Edwards and Carl J. Williams and Charles W. Clark}
}
@article {1407,
	title = {Optimizing the fast Rydberg quantum gate},
	journal = {Physical Review A},
	volume = {67},
	year = {2003},
	month = {2003/4/17},
	abstract = {  The fast phase gate scheme, in which the qubits are atoms confined in sites
of an optical lattice, and gate operations are mediated by excitation of
Rydberg states, was proposed by Jaksch et al. Phys. Rev. Lett. 85, 2208 (2000).
A potential source of decoherence in this system derives from motional heating,
which occurs if the ground and Rydberg states of the atom move in different
optical lattice potentials. We propose to minimize this effect by choosing the
lattice photon frequency \omega so that the ground and Rydberg states have the
same frequency-dependent polarizability \alpha(omega). The results are
presented for the case of Rb.
},
	doi = {10.1103/PhysRevA.67.040303},
	url = {http://arxiv.org/abs/quant-ph/0212081v1},
	author = {M. S. Safronova and Carl J. Williams and Charles W. Clark}
}
@article {1408,
	title = {A Quantum Computer Architecture using Nonlocal Interactions},
	journal = {Physical Review A},
	volume = {67},
	year = {2003},
	month = {2003/5/27},
	abstract = {  Several authors have described the basic requirements essential to build a
scalable quantum computer. Because many physical implementation schemes for
quantum computing rely on nearest neighbor interactions, there is a hidden
quantum communication overhead to connect distant nodes of the computer. In
this paper we propose a physical solution to this problem which, together with
the key building blocks, provides a pathway to a scalable quantum architecture
using nonlocal interactions. Our solution involves the concept of a quantum bus
that acts as a refreshable entanglement resource to connect distant memory
nodes providing an architectural concept for quantum computers analogous to the
von Neumann architecture for classical computers.
},
	doi = {10.1103/PhysRevA.67.050302},
	url = {http://arxiv.org/abs/quant-ph/0301012v2},
	author = {Gavin K. Brennen and Daegene Song and Carl J. Williams}
}
@article {1296,
	title = {Ultracold Cs$_2$ Feshbach Spectroscopy},
	year = {2003},
	month = {2003/12/23},
	abstract = {  We have observed and located more than 60 magnetic field-induced Feshbach
resonances in ultracold collisions of ground-state $^{133}$Cs atoms. These
resonances are associated with molecular states with up to four units of
rotational angular momentum, and are detected through variations in the
elastic, inelastic, and radiative collision cross sections. These observations
allow us to greatly improve upon the interaction potentials between two cesium
atoms and to reproduce the positions of most resonances to accuracies better
than 0.5\%. Based on the relevant coupling scheme between the electron spin,
nuclear spin, and orbital angular momenta of the nuclei, quantum numbers and
energy structure of the molecular states beneath the dissociation continuum are
revealed. Finally, we predict the relevant collision properties for cesium
Bose-Einstein condensation experiments.
},
	url = {http://arxiv.org/abs/cond-mat/0312613v2},
	author = {Cheng Chin and Vladan Vuletic and Andrew J. Kerman and Steven Chu and Eite Tiesinga and Paul J. Leo and Carl J. Williams}
}
@article {1417,
	title = {{\textquoteleft}Flat Phase{\textquoteright} Loading of a Bose-Einstein Condensate into an Optical  Lattice
},
	journal = {Physical Review A},
	volume = {66},
	year = {2002},
	month = {2002/11/26},
	abstract = {  It has been proposed that the adiabatic loading of a Bose-Einstein Condensate
(BEC) into an optical lattice via the Mott-insulator transition can be used to
initialize a quantum computer [D. Jaksch, {\it et al.}, Phys. Rev. Lett. {\bf
81}, 3108 (1998)]. The loading of a BEC into the lattice without causing band
excitation is readily achievable; however, unless one switches on an optical
lattice very slowly, the optical lattice causes a phase to accumulate across
the condensate. We show analytically and numerically that a cancellation of
this effect is possible by adjusting the harmonic trap force-constant of the
magnetic trap appropriately, thereby facilitating quick loading of an optical
lattice for quantum computing purposes. A simple analytical theory is developed
for a non-stationary BEC in a harmonic trap.
},
	doi = {10.1103/PhysRevA.66.053620},
	url = {http://arxiv.org/abs/physics/0209071v1},
	author = {Shlomo E. Sklarz and Inbal Friedler and David J. Tannor and Yehuda B. Band and Carl J. Williams}
}
