4,374 research outputs found
Beyond spontaneously broken symmetry in Bose-Einstein condensates
Spontaneous symmetry breaking (SSB) for Bose-Einstein condensates cannot
treat phase off-diagonal effects, and thus not explain Bell inequality
violations. We describe another situation that is beyond a SSB treatment: an
experiment where particles from two (possibly macroscopic) condensate sources
are used for conjugate measurements of the relative phase and populations.
Off-diagonal phase effects are characterized by a "quantum angle" and observed
via "population oscillations", signaling quantum interference of
macroscopically distinct states (QIMDS).Comment: 10 pages 4 figure
Comment on ``Phase and Phase Diffusion of a Split Bose-Einstein Condensate''
Recently Javanainen and Wilkens [Phys. Rev. Lett. 78, 4675 (1997)] have
analysed an experiment in which an interacting Bose condensate, after being
allowed to form in a single potential well, is "cut" by splitting the well
adiabatically with a very high potential barrier, and estimate the rate at
which, following the cut, the two halves of the condensate lose the "memory" of
their relative phase. We argue that, by neglecting the effect of interactions
in the initial state before the separation, they have overestimated the rate of
phase randomization by a numerical factor which grows with the interaction
strength and with the slowness of the separation process.Comment: 2 pages, no figures, to appear in Phys. Rev. Let
Formation Time of a Fermion Pair Condensate
The formation time of a condensate of fermionic atom pairs close to a
Feshbach resonance was studied. This was done using a phase-shift method in
which the delayed response of the many-body system to a modulation of the
interaction strength was recorded. The observable was the fraction of condensed
molecules in the cloud after a rapid magnetic field ramp across the Feshbach
resonance. The measured response time was slow compared to the rapid ramp,
which provides final proof that the molecular condensates reflect the presence
of fermion pair condensates before the ramp.Comment: 5 pages, 4 figure
Influence of External Fields and Environment on the Dynamics of Phase Qubit-Resonator System
We analyze the dynamics of a qubit-resonator system coupled with a thermal
bath and external electromagnetic fields. Using the evolution equations for the
set of Heisenberg operators, that describe the whole system, we derive an
expression for the resonator field, accounting for the resonator-drive,-bath,
and -qubit interaction. The renormalization of the resonator frequency, caused
by the qubit-resonator interaction, is accounted for. Using solutions for the
resonator field, we derive the equation describing qubit dynamics. The
influence of the qubit evolution during the measurement time on the fidelity of
a single-shot measurement is studied. The relation between the fidelity and
measurement time is shown explicitly. Also, an expression describing relaxation
of the superposition qubit state towards its stationary value is derived. The
possibility of controlling this state, by varying the amplitude and frequency
of drive, is shown.Comment: 15 page
On the Supersolid State of Matter
We prove that the necessary condition for a solid to be also a superfluid is
to have zero-point vacancies, or interstitial atoms, or both, as an integral
part of the ground state. As a consequence, superfluidity is not possible in
commensurate solids which break continuous translation symmetry. We discuss
recent experiment by Kim and Chan [Nature, {\bf 427}, 225 (2004)] in the
context of this theorem, question its bulk supersolid interpretation, and offer
an alternative explanation in terms of superfluid helium interfaces.Comment: 4 figures, 4 page
Creation of NOON states by double Fock-state/Bose-Einstein condensates
NOON states (states of the form where and
are single particle states) have been used for predicting violations of
hidden-variable theories (Greenberger-Horne-Zeilinger violations) and are
valuable in metrology for precision measurements of phase at the Heisenberg
limit. We show theoretically how the use of two Fock state/Bose-Einstein
condensates as sources in a modified Mach Zender interferometer can lead to the
creation of the NOON state in which and refer to arms of the
interferometer and is the total number of particles in the two condensates.
The modification of the interferometer involves making conditional ``side''
measurements of a few particles near the sources. These measurements put the
remaining particles in a superposition of two phase states, which are converted
into NOON states by a beam splitter. The result is equivalent to the quantum
experiment in which a large molecule passes through two slits. The NOON states
are combined in a final beam splitter and show interference. Attempts to detect
through which ``slit'' the condensates passed destroys the interference.Comment: 8 pages 5 figure
Quantum logic gates for coupled superconducting phase qubits
Based on a quantum analysis of two capacitively coupled current-biased
Josephson junctions, we propose two fundamental two-qubit quantum logic gates.
Each of these gates, when supplemented by single-qubit operations, is
sufficient for universal quantum computation. Numerical solutions of the
time-dependent Schroedinger equation demonstrate that these operations can be
performed with good fidelity.Comment: 4 pages, 5 figures, revised for publicatio
Spectral signatures of the BCS-BEC crossover in the excitonic insulator phase of the extended Falicov-Kimball model
We explore the spontaneous formation of an excitonic insulator state at the
semimetal-semiconductor transition of mixed-valence materials in the framework
of the spinless Falicov-Kimball model with direct - electron hopping.
Adapting the projector-based renormalization method, we obtain a set of
renormalization differential equations for the extended Falicov-Kimball model
parameters and finally derive analytical expressions for the order parameter,
as well as for the renormalized - and -electron dispersions, momentum
distributions, and wave-vector resolved single-particle spectral functions. Our
numerical results proved the valence transition picture, related to the
appearance of the excitonic insulator phase, in the case of overlapping and
bands. Thereby the photoemission spectra show significant differences
between the weak-to-intermediate and intermediate-to-strong Coulomb attraction
regimes, indicating a BCS-BEC transition of the excitonic condensate.Comment: final version, minor corrections in the text, references update
On the origin of the decrease in the torsional oscillator period of solid He4
A decrease in the rotational period observed in torsional oscillator
measurements was recently taken as a possible indication of a supersolid state
of helium. We reexamine this interpretation and note that the decrease in the
rotation period is also consistent with a solidification of a small liquid-like
component into a low-temperature glass. Such a solidification may occur by a
low-temperature quench of topological defects (e.g., grain boundaries or
dislocations) which we examined in an earlier work. The low-temperature glass
can account for not only a monotonic decrease in the rotation period as the
temperature is lowered but also explains the peak in the dissipation occurring
near the transition point. Unlike the non-classical rotational inertia
scenario, which depends on the supersolid fraction, the dependence of the
rotational period on external parameters, e.g., the oscillator velocity,
provides an alternate interpretation of the oscillator experiments. Future
experiments might explore this effect.Comment: 10 pages, 3 figures; to appear in Phys. Rev.
Condensation of Pairs of Fermionic Atoms Near a Feshbach Resonance
We have observed Bose-Einstein condensation of pairs of fermionic atoms in an
ultracold ^6Li gas at magnetic fields above a Feshbach resonance, where no
stable ^6Li_2 molecules would exist in vacuum. We accurately determined the
position of the resonance to be 822+-3 G. Molecular Bose-Einstein condensates
were detected after a fast magnetic field ramp, which transferred pairs of
atoms at close distances into bound molecules. Condensate fractions as high as
80% were obtained. The large condensate fractions are interpreted in terms of
pre-existing molecules which are quasi-stable even above the two-body Feshbach
resonance due to the presence of the degenerate Fermi gas.Comment: submitted to PRL. v3: clarifying revisions, added referenc
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