Publications
Variational method for estimating the rate of convergence of Markov-chain Monte Carlo algorithms
We demonstrate the use of a variational method to determine a quantitative lower bound on the rate of convergence of Markov chain Monte Carlo (MCMC) algorithms as a function of the target density and proposal density. The bound relies on approximating the second largest eigenvalue in the spectrum of the MCMC operator using a variational principle and the approach is applicable to problems with continuous state spaces.
Influence of film-mediated interactions on the microwave and radio frequency spectrum of spin-polarized hydrogen on helium films
We argue that helium film-mediated hydrogen-hydrogen interactions strongly reduce the magnitude of cold collision shifts in spin-polarized hydrogen adsorbed on a helium film. With plausible assumptions about experimental parameters this can explain (i) the 2 orders of magnitude discrepancy between previous theory and recent experiments and (ii) the anomalous dependence of the cold collision frequency shifts on the film's He3 covering.
Publisher's Note: Restricted dislocation motion in crystals of colloidal dimer particles (Physical Review Letters (2008) 101 (058302))
Controlling microdrop shape and position for biotechnology using micropatterned rings
Photolithographic micropatterning is used to achieve topographic rather than chemical control of the static shape and position of microdrops on solid substrates in a gaseous ambient. Micrometer cross-section, millimeter-diameter circular rings with steep sidewalls strongly and robustly pin contact lines of nanoliter to 100 μl liquid drops, increasing the maximum stable drop volume and eliminating contact line motion due to transient accelerations.
Dragonfly flight
Generic features of the spectrum of trapped polarized fermions
We show that bimodal radio frequency spectra universally arise at intermediate temperatures in models of strongly interacting trapped Fermi gases. The bimodality is independent of superfluidity or pseudogap physics, depending only on the functional form of the equation of state-which is constrained by dimensional analysis at low temperatures and the virial expansion at high temperatures.
Polarization switching using single-walled carbon nanotubes grown on epitaxial ferroelectric thin films
We have directly grown single-walled carbon nanotubes on epitaxial BaTi O3 thin films, fabricating prototype carbon nanotube-ferroelectric devices. We demonstrate polarization switching using the nanotube as a local electric field source and compare the results to switching with an atomic force microscopy tip. The observed variation of domain growth rates in the two cases agrees with the changes in electric field intensity at the ferroelectric surface. © 2008 American Institute of Physics.
Nb93 NMR spin echo spectroscopy in single crystal NbSe3
We report electric field induced phase displacements of the charge density wave (CDW) in a single crystal of NbSe3 using Nb93 NMR spin-echo spectroscopy. CDW polarizations in the pinned state induced by unipolar and bipolar pulses are linear and reversible up to at least E=(0.96)ET. The polarizations have a broad distribution extending up to phase angles of order 60° for electric fields close to threshold. No evidence for polarizations in excess of a CDW wavelength or for a divergence in polarization near ET are observed.
Divide and concur: A general approach to constraint satisfaction
Many difficult computational problems involve the simultaneous satisfaction of multiple constraints that are individually easy to satisfy. These constraints might be derived from measurements (as in tomography or diffractive imaging), interparticle interactions (as in spin glasses), or a combination of sources (as in protein folding). We present a simple geometric framework to express and solve such problems and apply it to two benchmarks.
Quantum Monte Carlo study of one-dimensional trapped fermions with attractive contact interactions
Using exact continuous quantum Monte Carlo techniques, we study the zero- and finite-temperature properties of a system of harmonically trapped one-dimensional spin- 1 2 fermions with short-range interactions. Motivated by experimental searches for modulated Fulde-Ferrel-Larkin-Ovchinikov states, we systematically examine the impact of a spin imbalance on the density profiles. We quantify the accuracy of the Thomas-Fermi approximation, finding that for sufficiently large particle numbers (N100) it quantitatively reproduces most features of the exact density profile.