Nonlinear corrections in the quantization of a weakly nonideal Bose gas at zero temperature. II. The general case

Abstract

In the present paper, discussion of the canonical quantization of a weakly nonideal Bose gas at zero temperature within the framework of the Bogolyubov approach is continued. Contrary to the previous paper on this subject, here the two-body interaction potential is considered in the general form. It is shown that in such a case consideration of the first nonlinear correction also leads to the automatic particle number conservation without any additional assumptions or modification of the resulting effective Hamiltonian.

arXiv comment30 pages. Supplementary material: the standard Maxima .wxmx file is automatically unpacked by the arXiv upload software, so the .xml file, which can also be processed by Maxima, is uploaded instead. v2: major revision of the text, added references, minor corrections in ancillary files. v3: typos corrected

References in corpus (15)

• Theory of Bose-Einstein condensation in trapped gases
• Theory of the Weakly Interacting Bose Gas
• A particle-number-conserving Bogoliubov method which demonstrates the validity of the time-dependent Gross-Pitaevskii equation for a highly condensed Bose gas
• A number-conserving approach to a minimal self-consistent treatment of condensate and non-condensate dynamics in a degenerate Bose gas
• Bogoliubov theory of entanglement in a Bose-Einstein condensate
• Quantum backreaction in dilute Bose-Einstein condensates
• Images of a Bose-Einstein condensate: diagonal dynamical Bogoliubov vacuum
• Formulation for zero mode of Bose-Einstein condensate beyond Bogoliubov approximation
• The Bogoliubov Theory of a BEC in Particle Representation
• Number-conserving approaches to $n$-component Bose-Einstein condensates
• Bosonic Particle-Correlated States: A Nonperturbative Treatment Beyond Mean Field
• Particle-Number-Conserving Bogoliubov Approximation for Bose-Einstein Condensates Using Extended Catalytic States
• Analytical computation of quantum corrections to non-topological soliton (bright soliton) within the saddle-point approximation
• Some properties of small perturbations against a stationary solution of the nonlinear Schrodinger equation
• Nonlinear corrections in the quantization of a weakly nonideal Bose gas at zero temperature