3,588 research outputs found
Spectral Equivalence of Bosons and Fermions in One-Dimensional Harmonic Potentials
Recently, Schmidt and Schnack (cond-mat/9803151, cond-mat/9810036), following
earlier references, reiterate that the specific heat of N non-interacting
bosons in a one-dimensional harmonic well equals that of N fermions in the same
potential. We show that this peculiar relationship between specific heats
results from a more dramatic equivalence between bose and fermi systems.
Namely, we prove that the excitation spectrums of such bose and fermi systems
are spectrally equivalent. Two complementary proofs are provided, one based on
an analysis of the dynamical symmetry group of the N-body system, the other
using combinatoric analysis.Comment: Six Pages, No Figures, Submitted to Phys. Rev.
Bose-Einstein condensates in RF-dressed adiabatic potentials
Bose-Einstein condensates of Rb atoms are transferred into
radio-frequency (RF) induced adiabatic potentials and the properties of the
corresponding dressed states are explored. We report on measurements of the
spin composition of dressed condensates. We also show that adiabatic potentials
can be used to trap atom gases in novel geometries, including suspending a
cigar-shaped cloud above a curved sheet of atoms
Limits to Sympathetic Evaporative Cooling of a Two-Component Fermi Gas
We find a limit cycle in a quasi-equilibrium model of evaporative cooling of
a two-component fermion gas. The existence of such a limit cycle represents an
obstruction to reaching the quantum ground state evaporatively. We show that
evaporatively the \beta\mu ~ 1. We speculate that one may be able to cool an
atomic fermi gas further by photoassociating dimers near the bottom of the
fermi sea.Comment: Submitted to Phys. Rev
Strongly interacting bosons in a disordered optical lattice
Disorder, prevalent in nature, is intimately involved in such spectacular
effects as the fractional quantum Hall effect and vortex pinning in type-II
superconductors. Understanding the role of disorder is therefore of fundamental
interest to materials research and condensed matter physics. Universal
behavior, such as Anderson localization, in disordered non-interacting systems
is well understood. But, the effects of disorder combined with strong
interactions remains an outstanding challenge to theory. Here, we
experimentally probe a paradigm for disordered, strongly-correlated bosonic
systems-the disordered Bose-Hubbard (DBH) model-using a Bose-Einstein
condensate (BEC) of ultra-cold atoms trapped in a completely characterized
disordered optical lattice. We determine that disorder suppresses condensate
fraction for superfluid (SF) or coexisting SF and Mott insulator (MI) phases by
independently varying the disorder strength and the ratio of tunneling to
interaction energy. In the future, these results can constrain theories of the
DBH model and be extended to study disorder for strongly-correlated fermionic
particles.Comment: 15 pages, 4 figures updated to correct errors in referencing previous
wor
Temperature dependence of density profiles for a cloud of non-interacting fermions moving inside a harmonic trap in one dimension
We extend to finite temperature a Green's function method that was previously
proposed to evaluate ground-state properties of mesoscopic clouds of
non-interacting fermions moving under harmonic confinement in one dimension. By
calculations of the particle and kinetic energy density profiles we illustrate
the role of thermal excitations in smoothing out the quantum shell structure of
the cloud and in spreading the particle spill-out from quantum tunnel at the
edges. We also discuss the approach of the exact density profiles to the
predictions of a semiclassical model often used in the theory of confined
atomic gases at finite temperature.Comment: 7 pages, 4 figure
Delineation of the Boundaries of Putative Fathers\u27 Rights: A Psychological Parenthood Perspective
The Effect of Repeated Reading on Content Learning in a Preschool Classroom
The purpose of this study was to investigate the impact of repeated read alouds on students\u27 understanding of content. The following research questions were addressed: To what extent do read alouds enhance learning and understanding at the preschool level? To what extent do read alouds engage the students in learning the content at the preschool level? Observations of specific students in my classroom as well as observations of all students in my class were conducted to investigate the second research question: To what extent do read alouds engage the students in learning the content at the preschool level? Read aloud selections were on topics covered previously but were not currently being studied. Read aloud selections were familiar to the majority of students. The selection was read to the students once per day for three days. Three individual students were given pre and post assessments in order to investigate the first research question: To what extent do read alouds enhance student learning and understanding at the preschool level? Throughout this study I hoped to discover how effective repeated read alouds were in teaching students new information as well as in engaging them in their learning. I hope to share my findings with teachers, parents, and colleagues
Collective Modes in a Dilute Bose-Fermi Mixture
We here study the collective excitations of a dilute spin-polarized
Bose-Fermi mixture at zero temperature, considering in particular the features
arising from the interaction between the two species. We show that a
propagating zero-sound mode is possible for the fermions even when they do not
interact among themselves.Comment: latex, 6 eps figure
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