Bulletin of the American Physical Society
2011 Annual Meeting of the Four Corners Section of the APS
Volume 56, Number 11
Friday–Saturday, October 21–22, 2011; Tuscon, Arizona
Session M6: Computation/General Physics |
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Chair: Shufeng Zhang, University of Arizona Room: UA Student Union Santa Cruz |
Saturday, October 22, 2011 11:10AM - 11:22AM |
M6.00001: Effect of Dissorder on Excitonic Coherence in Double Layer Systems Paul Campitelli, John Shumway We use fermionic path integral quantum Monte Carlo to study the effects of disorder on properties of dipolar exciton condensates in double layer systems. Such exotic states of matter have been predicted in semiconductor heterojunctions, double layer graphene, and thin slabs of topological insulators. In our model, we find that the condensation transition is in the Bose-Einstein condensation (BEC) limit, with pre-formed fermionic pairs (excitons) condensing below a critical temperature. Evidence for the transition is seen in the superfluid fraction, which we estimate from paths winding around the simulation cell. We investigate the effect of charge impurities near the layers. We compare and contrast the effect of the charge impurity on a single exciton to the effect on the excitonic condensate. [Preview Abstract] |
Saturday, October 22, 2011 11:22AM - 11:34AM |
M6.00002: Building Models with Bayes Gus Hart, Lance J. Nelson, Shane Reese The whole of modern Bayesian statistical methods is founded on the simple idea of Bayes rule, stated by the Reverend Thomas Bayes, and presented in 1763. Bayes rule is merely a simple statement of conditional probablility but can be used to make strong inferences. However, the application of Bayes rule to all but the simplest problems requires significant computation. As a result, Baysian-based approaches have been largely impractical until high-speed computing became inexpensive in the recent in the last 20 years or so. We discuss the general idea behind Bayes rule, how to use it to build physical models, and illustrate the approach for a simple case of lattice gas models. [Preview Abstract] |
Saturday, October 22, 2011 11:34AM - 11:46AM |
M6.00003: The emergence of dimensional analysis in the 19th c Sybil de Clark Dimensional analysis was developed in the 19th c. It can be viewed as a reformulation of the principle of homogeneity following the emergence of numerical equations, implying a redefinition of the concept of dimension. The principle of homogeneity holds that some operations can only be performed on quantities of a similar nature, where dimensions define the latter. Instead, Fourier substituted rules which ensure that equations remain invariant under a change of units, and identified dimensions with the power to which conversion factors of derived units must be raised when a fundamental unit is changed. To what extent this new definition of ``dimension'' concurs with the former is not obvious, and tension between the two conceptions motivated much of the debates regarding dimensional analysis throughout the 19th c. [Preview Abstract] |
Saturday, October 22, 2011 11:46AM - 11:58AM |
M6.00004: Finding the Time Evolution of Driven Quantum Systems with Lie Algebras Ryan Sayer, Jean-Francois Van Huele, Tim Wendler In quantum dynamics, the time evolution operator U determines how a system responds to an external force. When the dynamics, as characterized by the Hamiltonian operator, is contained within a Lie algebra, we can factorize U in exponentials of basis elements of the algebra and reduce the time dependence to a set of coupled differential equations for the coefficients of these basis elements. Using this method, we solve free-particle and simple-harmonic systems with spatially-uniform forces of arbitrary time dependence. We discuss the possibility of extending the method and applying them to molecules in external dipole fields. [Preview Abstract] |
Saturday, October 22, 2011 11:58AM - 12:10PM |
M6.00005: How Can One Measure Quantum Entanglement? Prashanna Simkhada, Jean-Francois Van Huele Entanglement is a fundamental concept in quantum mechanics (QM) and a valuable resource in quantum information. An important question remains how to identify and quantify it. We review the concept of entanglement witness and introduce some proposed measures of entanglement. We then explore the relation of entanglement with superposition, which is another characteristic feature of QM. In particular, we present a proposal using Mach-Zehnder interferometry to analyze the occurrence of entanglement. [Preview Abstract] |
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