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JILA’s 3-D Quantum Gas Atomic Clock Offers New Dimensions in Measurement（图）
JILA 3-D Quantum Gas Atomic Clock New Dimensions Measurement
2017/10/25
JILA physicists have created an entirely new design for an atomic clock, in which strontium atoms are packed into a tiny three-dimensional (3-D) cube at 1,000 times the density of previous one-dimensi...
CONTINUUM RELAXATION OF INTERACTING STEPS ON CRYSTAL SURFACES IN 2+1 DIMENSIONS
crystal surface epitaxial growth morphological evolution Burton–Cabrera–Frank model Ehrlich–Schwoebel barrier entropic interactions elastic dipole interactions step chemical potential continuum limit surface mobility
2015/10/16
We study the relaxation of crystal surfaces in 2+1 dimensions via the motion ofinteracting atomic steps. The goal is the rigorous derivation of the continuum limit. The starting point is a discrete sc...
A stochastic step flow model with growth in 1+1 dimensions
stochastic step flow model growth 1+1 dimensions
2015/10/16
Mathematical implications of adding Gaussian white noise to the Burton– Cabrera–Frank model for N terraces (‘gaps’) on a crystal surface are studied under external material deposition for large N. The...
Homogenization of composite vicinal surfaces: Evolution laws in 1+1 dimensions
Crystal surface Burton–Cabrera–Frank (BCF) model Line defects Diffusion Macroscopic limit Multiscale expansion
2015/10/16
We apply classical homogenization to derive macroscopic relaxation laws for crystal surfaces with distinct inhomogeneities at the microscale. The proposed method relies on a formal multiscale expansio...
After the lecture: Extra dimensions, interacting dark matter, and the power of uncertainty
After the lecture Extra dimensions interacting dark matter the power of uncertainty
2015/4/30
In her most recent book, physicist Lisa Randall--Harvard professor, libretto composer, Lego figurine, star in the world of theoretical physics--writes that the universe repeatedly reveals itself ...
Validity of the Hohenberg Theorem for a Generalized Bose-Einstein Condensation in Two Dimensions
Bose - Einstein condensation horn theorem states generalized condensation
2014/12/22
Several authors have considered the possibility of a generalized Bose-Einstein condensation (BEC) in which a band of low states is occupied so that the total occupation number is macroscopic, even if ...
Comment on “Phase Diagram of a Disordered Boson Hubbard Model in Two Dimensions”
Superfluid mott insulation bose glass monte carlo simulation
2014/12/20
In a recent Letter [1] (see also [2]) the authors presented numerical evidence supporting an idea of a direct transition between the superfluid (SF) and Mott insulating (MI) phases in the disordered B...
Critical Temperature of Interacting Bose Gases in Two and Three Dimensions
Superfluid temperature bose gas the space dimension integral monte carlo simulation particles atoms
2014/12/19
We calculate the superfluid transition temperature of homogeneous interacting Bose gases in three and two spatial dimensions using large-scale path integral Monte Carlo simulations (with up to N=105 p...
Actions for an Hierarchy of Attractive Nonlinear Oscillators Including the Quartic Oscillator in 1+1 Dimensions
Actions Hierarchy of Attractive Nonlinear Oscillators the Quartic Oscillator 1+1 Dimensions Mathematical Physics
2012/4/23
In this paper, we present an explicit form in terms of end-point data for the classical action $S_{2n}$ evaluated on extremals satisfying the Hamilton-Jacobi equation for each member of a hierarchy of...
Lie-algebraic interpretation of the maximal superintegrability and exact solvability of the Coulomb-Rosochatius potential in n dimensions
Lie-algebraic interpretation the Coulomb-Rosochatius n dimensions Mathematical Physics
2011/9/20
Abstract: The potential group method is applied to the n-dimensional Coulomb-Rosochatius potential, whose bound states and scattering states are worked out in detail. As far as scattering is concerned...
Scaling and universality in two dimensions: three-body bound states with short-ranged interactions
two dimensions three-body bound states short-ranged interactions Quantum Gases
2011/10/8
Abstract: The momentum space zero-range model is used to investigate universal properties of three interacting particles confined to two dimensions. The pertinent equations are first formulated for a ...
Effective Long-Range Interactions in Confined Curved Dimensions
Effective Long-Range Interactions Confined Curved Dimensions Quantum Gases
2011/8/4
Abstract: We explore the effective long-range interaction of charged particles confined to a curved low-dimensional manifold using the example of a helical geometry. Opposite to the Coulomb interactio...
On Third Order Lagrangians, Weyl Invariants & Classical Trace Anomaly in Six Dimensions
Higher Order Gravities Non–Linear Lagrangians Weyl Invariants Heat Kernel Coefficients Lovelock Lagrangian
2011/9/29
Abstract: We have proceeded the analogy of Einstein tensor and alternative form of Einstein field equations for generic coefficients of eight terms in third order of Lovelock Lagrangian. We have found...
Gauge invariance, correlated fermions, and Meissner effect in 2+1 dimensions
Meissner effect correlated fermions Gauge invariance
2011/9/29
Abstract: We present a 2+1 dimensional quantum gauge theory model with correlated fermions that is exactly solvable by bosonization. This model gives an effective description of partially gapped fermi...
One-loop Renormalized Coefficient of Noncommutative Supersymmetric Yang-Mills-Chern-Simons Gauge Theories in Three Dimensions
One-loop Renormalized Coefficient Noncommutative Supersymmetric Yang-Mills-Chern-Simons Gauge Theories
2011/7/28
Abstract: Recent studies of the $AdS_4/CFT_3$ correspondence involve the construction of a peculiar supersymmetric gauge theory on the worldvolume of multiple M2s branes as a boundary field theory. Un...