Exact results for a charged, harmonically trapped quantum gas at arbitrary temperature and magnetic field strength
arXiv:cond-mat/0610308 · doi:10.1103/PhysRevB.74.205334
Abstract
An analytical expression for the first-order density matrix of a charged, two-dimensional, harmonically confined quantum gas, in the presence of a constant magnetic field is derived. In contrast to previous results available in the literature, our expressions are exact for any temperature and magnetic field strength. We also present a novel factorization of the Bloch density matrix in the form of a simple product with a clean separation of the zero-field and field-dependent parts. This factorization provides an alternative way of analytically investigating the effects of the magnetic field on the system, and also permits the extension of our analysis to other dimensions, and/or anisotropic confinement.
To appear in Phys. Rev. B
References in corpus (9)
- Evaporative Cooling of a Two-Component Degenerate Fermi Gas
- Simple Analytical Particle and Kinetic Energy Densities for a Dilute Fermionic Gas in a d-Dimensional Harmonic Trap
- Finite temperature theory of the trapped two dimensional Bose gas
- Some exact results for a trapped quantum gas at finite temperature
- Harmonically trapped fermion gases: exact and asymptotic results in arbitrary dimensions
- Exact first-order density matrix for a d-dimensional harmonically confined Fermi gas at finite temperature
- Temperature dependence of density profiles for a cloud of non-interacting fermions moving inside a harmonic trap in one dimension
- Quantum computing with four-particle decoherence-free states in ion trap
- Confined Harmonically Interacting Spin-Polarized Fermions in a Magnetic Field: Thermodynamics