79 citations · 230 across the 7 of their papers we have counts for
11 papers · 1 filter
Polarizability and dynamic structure factor of the one-dimensional Bose gas near the Tonks-Girardeau limit at finite temperatures
Alexander Yu. Cherny, Joachim Brand
Correlation functions related to the dynamic density response of the one-dimensional Bose gas in the model of Lieb and Liniger are calculated. An exact Bose-Fermi mapping is used t…
Self-consistent calculation of the coupling constant in the Gross-Pitaevskii equation
A. Yu. Cherny, J. Brand
A method is proposed for a self-consistent evaluation of the coupling constant in the Gross-Pitaevskii equation without involving a pseudopotential replacement. A renormalization o…
Condensate fluctuations in the dilute Bose gas
Alexander Yu. Cherny
The fluctuations of a number of particles in the Bose-Einstein condensate are studied in the grand canonical ensemble with an effective single-mode Hamiltonian, which is derived fr…
Sum rule for the pair correlation function
A. Yu. Cherny
A sum rule has been derived for the static pair correlation function. This rule is the extension of the well-known equation that relates density fluctuation to compressibility. The…
The kinetic and interaction energies of a trapped Bose gas: Beyond the mean field
A. Yu. Cherny, A. A. Shanenko
The kinetic and interaction energies of a three-dimensional dilute ground-state Bose gas confined in a trap are calculated beyond a mean-field treatment. They are found to depend o…
Dilute Bose gas in two dimensions: Density expansions and the Gross-Pitaevskii equation
A. Yu. Cherny, A. A. Shanenko
A dilute two-dimensional (2D) Bose gas at zero temperature is studied by the method developed earlier by the authors. Low density expansions are derived for the chemical potential,…