Statistical mechanics of a Feshbach coupled Bose-Fermi gas in an optical lattice

We consider an atomic Fermi gas confined in a uniform optical lattice potential, where the atoms can pair into molecules via a magnetic field controlled narrow Feshbach resonance. The phase diagram of the resulting atom-molecule mixture in chemical and thermal equilibrium is determined numerically in the absence of interactions under the constraint of particle conservation. In the limiting cases of vanishing or large lattice depth we derive simple analytical results for important thermodynamic quantities. One such quantity is the dissociation energy, defined as the detuning of the molecular energy spectrum with respect to the atomic one for which half of the atoms have been converted into dimers. Importantly we find that the dissociation energy has a non-monotonic dependence on lattice depth.Comment: 9 pages, 5 figure

Theory of Feshbach molecule formation in a dilute gas during a magnetic field ramp

Starting with coupled atom-molecule Boltzmann equations, we develop a simplified model to understand molecule formation observed in recent experiments. Our theory predicts several key features: (1) the effective adiabatic rate constant is proportional to density; (2) in an adiabatic ramp, the dependence of molecular fraction on magnetic field resembles an error function whose width and centroid are related to the temperature; (3) the molecular production efficiency is a universal function of the initial phase space density, the specific form of which we derive for a classical gas. Our predictions show qualitative agreement with the data from [Hodby et al, Phys. Rev. Lett. {\bf{94}}, 120402 (2005)] without the use of adjustable parameters

Ultra-high temperature measuring techniques Final report

Real time technique for measurement of high temperature gases and spectroscopic techniques for temperature measurement of hot cesium seeded hydroge

Angular momentum exchange between coherent light and matter fields

Full, three dimensional, time-dependent simulations are presented demonstrating the quantized transfer of angular momentum to a Bose-Einstein condensate from a laser carrying orbital angular momentum in a Laguerre-Gaussian mode. The process is described in terms of coherent Bragg scattering of atoms from a chiral optical lattice. The transfer efficiency and the angular momentum content of the output coupled vortex state are analyzed and compared with a recent experiment.Comment: 4 pages, 4 figure

Self-Modifying Morphology Experiments with DyRET: Dynamic Robot for Embodied Testing

If robots are to become ubiquitous, they will need to be able to adapt to complex and dynamic environments. Robots that can adapt their bodies while deployed might be flexible and robust enough to meet this challenge. Previous work on dynamic robot morphology has focused on simulation, combining simple modules, or switching between locomotion modes. Here, we present an alternative approach: a self-reconfigurable morphology that allows a single four-legged robot to actively adapt the length of its legs to different environments. We report the design of our robot, as well as the results of a study that verifies the performance impact of self-reconfiguration. This study compares three different control and morphology pairs under different levels of servo supply voltage in the lab. We also performed preliminary tests in different uncontrolled outdoor environments to see if changes to the external environment supports our findings in the lab. Our results show better performance with an adaptable body, lending evidence to the value of self-reconfiguration for quadruped robots.Comment: Accepted to ICRA19. Corrections to table II, July 201

What's in a word? Conflicting interpretations of vulnerability in climate change research

In this paper, we discuss two competing interpretations of vulnerability in the climate change literature and consider the implications for both research and policy. The first interpretation, which can be referred to as the “end point” approach, views vulnerability as a residual of climate change impacts minus adaptation. The second interpretation, which takes vulnerability as a “starting point,” views vulnerability as a general characteristic generated by multiple factors and processes. Viewing vulnerability as an end point considers that adaptations and adaptive capacity determine vulnerability, whereas viewing vulnerability as a starting point holds that vulnerability determines adaptive capacity. The practical consequences of these two interpretations are illustrated through the examples of Norway and Mozambique. We show that, if the underlying causes and contexts of vulnerability are not taken into account, there is a danger of underestimating the magnitude (large), scope (social and environmental) and urgency (high) of climate change

The Tate conjecture for K3 surfaces over finite fields

Artin's conjecture states that supersingular K3 surfaces over finite fields have Picard number 22. In this paper, we prove Artin's conjecture over fields of characteristic p>3. This implies Tate's conjecture for K3 surfaces over finite fields of characteristic p>3. Our results also yield the Tate conjecture for divisors on certain holomorphic symplectic varieties over finite fields, with some restrictions on the characteristic. As a consequence, we prove the Tate conjecture for cycles of codimension 2 on cubic fourfolds over finite fields of characteristic p>3.Comment: 20 pages, minor changes. Theorem 4 is stated in greater generality, but proofs don't change. Comments still welcom

Microscopic Structure of a Vortex Line in a Superfluid Fermi Gas

The microscopic properties of a single vortex in a dilute superfluid Fermi gas at zero temperature are examined within the framework of self-consistent Bogoliubov-de Gennes theory. Using only physical parameters as input, we study the pair potential, the density, the energy, and the current distribution. Comparison of the numerical results with analytical expressions clearly indicates that the energy of the vortex is governed by the zero-temperature BCS coherence length.Comment: 4 pages, 4 embedded figures. Added references. To be published in Physical Review Letter

Belonging and Becoming in Academia: A Conceptual Framework

Establishing the conceptual framework for this book as a whole, this chapter looks at the process of developing an academic identity through the lens of ‘becoming’ a scholar, with particular emphasis on the challenges facing international, part-time EdD students. This process involves not only an intellectual breakthrough, but also an emerging sense of belonging. The inner journey – which intersects with and shapes academic progress – comprises a complex set of interactions between the social groups to which we belong, our beliefs about ourselves that come about through experience, the various contexts in which we operate, the position we hold within those contexts, and the agency we exercise in responding to various pressures. In addition to exploring the relevance of this inner journey, the chapter also situates author experiences within broader educational trends facing universities and key elements of doctoral programs