Theory of cold atoms: Bose-Einstein statistics
arXiv:1605.07815 · doi:10.1088/1054-660X/26/6/062001
Abstract
This Tutorial is the continuation of the previous tutorial part, published in Laser Phys. 23, 062001 (2013), where the basic mathematical techniques required for an accurate description of cold atoms for both types of quantum statistics are expounded. In the present part, the specifics of the correct theoretical description of atoms obeying Bose-Einstein statistics are explained, including trapped Bose atoms. In the theory of systems exhibiting the phenomenon of Bose-Einstein condensation, there exists a number of delicate mathematical points, whose misunderstanding often results in principally wrong conclusions. This is why the consideration in the present Tutorial is sufficiently detailed in order that the reader could clearly understand the underlying mathematics and would avoid confusions.
Latex file, 156 pages, Tutorial
References in corpus (10)
- Cold Bosons in Optical Lattices
- Effects of symmetry breaking in finite quantum systems
- Representative statistical ensembles for Bose systems with broken gauge symmetry
- Fluctuations of composite observables and stability of statistical systems
- Nonequivalent operator representations for Bose-condensed systems
- Method of self-similar factor approximants
- Path-Integral Ground-State and Superfluid Hydrodynamics of a Bosonic Gas of Hard Spheres
- Optimal trap shape for a Bose gas with attractive interactions
- Ground state of a homogeneous Bose gas of hard spheres
- Bose-Einstein condensation in self-consistent mean-field theory
Cited by in corpus (13)
- Group field theory condensate cosmology: An appetizer
- Bose-Einstein condensation in spherically symmetric traps
- Relational evolution of effectively interacting GFT quantum gravity condensates
- Inflationary Dynamics and Particle Production in a Toroidal Bose-Einstein Condensate
- Application of the functional renormalization group to Bose gases: from linear to hydrodynamic fluctuations
- Self-similarly corrected Pade approximants for nonlinear equations
- Self-consistent theory of a homogeneous binary Bose mixture with strong repulsive interspecies interaction
- Limitation of the Lee-Huang-Yang interaction in forming a self-bound state in Bose-Einstein condensates
- Models of Mixed Matter
- Strong connection between single-particle and density excitations in Bose-Einstein condensates
- Stability of normal quantum-fluid mixtures
- Hugenholtz -- Pines relations and the critical temperature of a Rabi coupled binary Bose system
- Unified theory of quantum crystals and optical lattices with Bose-Einstein condensate