Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/0610367 · Physical Review A

Depletion in Bose-Einstein condensates using quantum field theory in curved space

Roberto Balbinot, Serena Fagnocchi, Alessandro Fabbri

Published Apr 30, 2007• 9 citations
arXivHTMLPDF

Abstract

Using methods developed in quantum field theory in curved space we estimate the effects of the inhomogeneities and of a nonvanishing velocity on the depletion of a Bose-Einstein condensate within the hydrodynamical approximation.
DOI
10.1103/physreva.75.043622

Related papers

(Quantum) chaos in Bose-Einstein condensates

S. A. Gardiner

I discuss chaos in classical and quantum (wave) dynamics, extending this to considering chaotic dynamics in nonlinear wave equations, in particular how chaotic dynamics in the Gross-Pitaevskii equation relate to particle depletion from an initial Bose-Einstein condensate.

Journal of Modern Optics•Oct 1, 2002•14 citations

Dynamics of quantum vortices in a quasi-two-dimensional Bose–Einstein condensate with two “holes”

V. P. Ruban

The dynamics of interacting quantum vortices in a quasi-two-dimensional spatially inhomogeneous Bose–Einstein condensate, whose equilibrium density vanishes at two points of the plane with a possible presence of an immobile vortex with a few circulation quanta at each point, has been considered in a hydrodynamic approximation. A special class of density profiles has been chosen, so that it proves possible to calculate analytically the velocity field produced by point vortices. The equations of motion have been given in a noncanonical Hamiltonian form. The theory has been generalized to the case where the condensate forms a curved quasi-two-dimensional shell in the three-dimensional space.

arXiv:1702.07775•Journal of Experimental and Theoretical Physics Letters•Apr 1, 2017•7 citations

Functional theory for Bose-Einstein condensates

Julia Liebert, Christian Schilling

The authors derive the universal one-matrix functional for Bose-Einstein condensates and show the existence of a Bose-Einstein force which identifies quantum depletion as a direct consequence of the geometry of density matrices.

arXiv:2010.06634•Physical Review Research•Mar 26, 2021•14 citations

Hawking radiation correlations in Bose-Einstein condensates using quantum field theory in curved space

Paul R. Anderson, Roberto Balbinot, Alessandro Fabbri +1 more

The density-density correlation function is computed for the Bogoliubov pseudoparticles created in a Bose-Einstein condensate undergoing a black hole flow. On the basis of the gravitational analogy, the method used relies only on quantum field theory in curved spacetime techniques. A comparison with the results obtained by ab initio full condensed matter calculations is given, confirming the validity of the approximation used, provided the profile of the flow varies smoothly on scales compared to the condensate healing length.

arXiv:1301.2081•Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields•Jun 17, 2013•26 citations

Classical and Quantum Field Theory of Bose-Einstein Condensates

Sebastian Wüster

We study the application of Bose-Einstein condensates (BECs) to simulations of phenomena across a number of disciplines in physics, using theoretical and computational methods. ¶ ...

•Jan 1, 2007•0 citations

Hydrodynamics of a Bose condensate: beyond the mean field approximation (II)

Kirill Ilinski, A. S. Stepanenko

Self-consistent hydrodynamic one-loop quantum corrections to the Gross-Pitaevskii equation due to the interaction of the condensate with collective excitations are calculated. It is done by making use a formalism of effective action and $ζ$-function regularization for a contribution from Bogoliubov particles in hydrodynamic approximation. It turns out to be possible to reduce the problem to the investigation of a determinant of Laplace operator on curved space where a metric is defined by density and velocity of the condensate. Standard methods of quantum gravity let us get the leading logarithmic contribution of the determinant and corresponding quantum corrections. They describe an additional quantum pressure in the condensate, local heating-cooling and evaporation-condensation effects of the Bose-condensed fraction. The effects of these corrections are studied for the correction from excited states in equilibrium situation. Response functions and form factors are discussed in the same approximation.

arXiv:cond-mat/9612117•Dec 12, 1996•2 citations
The dynamics of interacting quantum vortices in a quasi-two-dimensional spatially inhomogeneous Bose–Einstein condensate, whose equilibrium density vanishes at two points of the plane with a possible presence of an immobile vortex with a few circulation quanta at each point, has been considered in a hydrodynamic approximation. A special class of density profiles has been chosen, so that it proves possible to calculate analytically the velocity field produced by point vortices. The equations of motion have been given in a noncanonical Hamiltonian form. The theory has been generalized to the case where the condensate forms a curved quasi-two-dimensional shell in the three-dimensional space.
The density-density correlation function is computed for the Bogoliubov pseudoparticles created in a Bose-Einstein condensate undergoing a black hole flow. On the basis of the gravitational analogy, the method used relies only on quantum field theory in curved spacetime techniques. A comparison with the results obtained by ab initio full condensed matter calculations is given, confirming the validity of the approximation used, provided the profile of the flow varies smoothly on scales compared to the condensate healing length.
Self-consistent hydrodynamic one-loop quantum corrections to the Gross-Pitaevskii equation due to the interaction of the condensate with collective excitations are calculated. It is done by making use a formalism of effective action and ζζζ-function regularization for a contribution from Bogoliubov particles in hydrodynamic approximation. It turns out to be possible to reduce the problem to the investigation of a determinant of Laplace operator on curved space where a metric is defined by density and velocity of the condensate. Standard methods of quantum gravity let us get the leading logarithmic contribution of the determinant and corresponding quantum corrections. They describe an additional quantum pressure in the condensate, local heating-cooling and evaporation-condensation effects of the Bose-condensed fraction. The effects of these corrections are studied for the correction from excited states in equilibrium situation. Response functions and form factors are discussed in the same approximation.