86 citations · 297 across the 15 of their papers we have counts for
15 papers
Preserving the Hermiticity of the One-Body Density Matrix for a Non-Interacting Fermi Gas
L. M. Farrell, D. Eaton, P. Chitnelawong +2
The one-body density matrix (ODM) for a zero temperature non-interacting Fermi gas can be approximately obtained in the semiclassical regime through different -expansion tec…
Testing the nonlocal kinetic energy functional of an inhomogeneous, two-dimensional degenerate Fermi gas within the average density approximation
J. Towers, B. P. van Zyl, W. Kirkby
In a recent paper [Phys.~Rev.~A {\bf 89}, 022503 (2014)], the average density approximation (ADA) was implemented to develop a parameter-free, nonlocal kinetic energy functional to…
Collective excitations of a harmonically trapped, two-dimensional, spin-polarized dipolar Fermi gas in the hydrodynamic regime
B. P. van Zyl, E. Zaremba, J. Towers
The collective excitations of a zero-temperature, spin-polarized, harmonically trapped, two-dimensional dipolar Fermi gas are examined within the Thomas-Fermi von Weizsäcker hydrod…
A nonlocal kinetic energy functional for an inhomogeneous two-dimensional Fermi gas
B. P. van Zyl, A. Farrell, E. Zaremba +3
The average-density approximation is used to construct a nonlocal kinetic energy functional for an inhomogeneous two-dimensional Fermi gas. This functional is then used to formulat…
Thomas-Fermi von Weizsäcker theory for a harmonically trapped, two-dimensional, spin-polarized dipolar Fermi gas
Brandon P. van Zyl, E. Zaremba, P. Pisarski
We systematically develop a density functional description for the equilibrium properties of a two-dimensional, harmonically trapped, spin-polarized dipolar Fermi gas based on the…
Finite temperature analytical results for a harmonically confined gas obeying exclusion statistics in -dimensions
Zachary MacDonald, Brandon P. van Zyl
Closed form, analytical results for the finite-temperature one-body density matrix, and Wigner function of a -dimensional, harmonically trapped gas of particles obeying exclusio…
The Zel'dovich effect in harmonically trapped, ultra-cold quantum gases
Aaron Farrell, Zachary MacDonald, Brandon P. van Zyl
We investigate the Zel'dovich effect in the context of ultra-cold, harmonically trapped quantum gases. We suggest that currently available experimental techniques in cold-atoms res…
Gradient corrections to the kinetic energy density functional of a two-dimensional Fermi gas at finite temperature
Brandon P. van Zyl, K. Berkane, K Bencheikh +1
We examine the leading order semiclassical gradient corrections to the non-interacting kinetic energy density functional of a two dimensional Fermi gas by applying the extended Tho…
s-wave scattering and the zero-range limit of the finite square well in arbitrary dimensions
Aaron Farrell, Brandon P. van Zyl
We examine the zero-range limit of the finite square well in arbitrary dimensions through a systematic analysis of the reduced, s-wave two-body time-independent Schrödinger equatio…
Finite temperature theory of the trapped two dimensional Bose gas
Christopher Gies, Brandon van Zyl, S. A. Morgan +1
We present a Hartree-Fock-Bogoliubov (HFB) theoretical treatment of the two-dimensional trapped Bose gas and indicate how semiclassical approximations to this and other formalisms…
Some exact results for a trapped quantum gas at finite temperature
Brandon P. van Zyl, Rajat K. Bhaduri, Akira Suzuki +1
We present closed analytical expressions for the particle and kinetic energy spatial densities at finite temperatures for a system of noninteracting fermions (bosons) trapped in a…
Magnetoplasmon excitations in an array of periodically modulated quantum wires
B. P. van Zyl, E. Zaremba
Motivated by the recent experiment of Hochgraefe et al., we have investigated the magnetoplasmon excitations in a periodic array of quantum wires with a periodic modulation along t…
Simple Analytical Particle and Kinetic Energy Densities for a Dilute Fermionic Gas in a d-Dimensional Harmonic Trap
Matthias Brack, Brandon P. van Zyl
We derive simple analytical expressions for the particle density and the kinetic energy density for a system of noninteracting fermions in a dimensional isotropic…
Magnetoplasmon excitations in arrays of circular and noncircular quantum dots
B. P. van Zyl, E. Zaremba, D. A. W. Hutchinson
We have investigated the magnetoplasmon excitations in arrays of circular and noncircular quantum dots within the Thomas-Fermi-Dirac-von Weizsäcker approximation. Deviations from t…
Thomas-Fermi-Dirac-von Weizsacker hydrodynamics in laterally modulated electronic systems
B. P. van Zyl, E. Zaremba
We have studied the collective plasma excitations of a two-dimensional electron gas with an arbitrary lateral charge-density modulation. The dynamics is formulated using a previous…