Dynamics of Bose-Einstein Condensation for Negative Scattering Length

2001 ◽  
pp. 384-388
Author(s):  
V.S. Filho ◽  
A. Gammal ◽  
L. Tomio ◽  
T. Frederico
Keyword(s):  
Scattering Length ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Negative Scattering Length ◽  
Bose Einstein

BOSE-EINSTEIN CONDENSATION OF ATOMS WITH ATTRACTIVE INTERACTION

1999 ◽  
Vol 13 (05n06) ◽  
pp. 625-631 ◽  
Author(s):  
N. AKHMEDIEV ◽  
M. P. DAS ◽  
A. V. VAGOV
Keyword(s):  
Statistical Physics ◽  
Scattering Length ◽  
Stationary Solutions ◽  
Attractive Potential ◽  
Einstein Condensation ◽  
Pitaevskii Equation ◽  
Bose Einstein Condensation ◽  
Three Body ◽  
Negative Scattering Length ◽  
Bose Einstein

We suggest that crucial effect on Bose-Einstein condensation in systems with attractive potential is three-body interaction. We investigate stationary solutions of the Gross-Pitaevskii equation with negative scattering length and a higher-order stabilising term in presence of an external parabolic potential. Stability properties of the condensate are similar to those for thermodynamic systems in statistical physics which have first order phase transitions. We have shown that there are three possible type of stationary solutions corresponding to stable, metastable and unstable phases. Results are discussed in relation to recently observed 7 Li condensate.

scholarly journals Bose-Einstein Condensation of Confined Atomic Gases at Ultra Low Temperatures

2017 ◽  
Vol 9 (5) ◽  
pp. 96
Author(s):  
M. Serhan
Keyword(s):  
Low Temperatures ◽  
Chemical Potential ◽  
Scattering Length ◽  
Einstein Condensation ◽  
Pitaevskii Equation ◽  
Atomic Gases ◽  
Bose Einstein Condensation ◽  
Gaussian Type ◽  
Negative Scattering Length ◽  
Bose Einstein

In this work I solve the Gross-Pitaevskii equation describing an atomic gas confined in an isotropic harmonic trap by introducing a variational wavefunction of Gaussian type. The chemical potential of the system is calculated and the solutions are discussed in the weakly and strongly interacting regimes. For the attractive system with negative scattering length the maximum number of atoms that can be put in the condensate without collapse begins is calculated.

BCS-BEC CROSSOVER WITHOUT APPEAL TO SCATTERING LENGTH THEORY

2014 ◽  
Vol 28 (08) ◽  
pp. 1450054 ◽  
Author(s):  
G. P. MALIK
Keyword(s):  
Interaction Parameter ◽  
Scattering Length ◽  
Critical Values ◽  
Einstein Condensation ◽  
Cooper Pairs ◽  
Bose Einstein Condensation ◽  
The Subject ◽  
Bose Einstein

BCS-BEC (an acronym formed from Bardeen, Cooper, Schrieffer and Bose–Einstein condensation) crossover physics has customarily been addressed in the framework of the scattering length theory (SLT), which requires regularization/renormalization of equations involving infinities. This paper gives a frame by frame picture, as it were, of the crossover scenario without appealing to SLT. While we believe that the intuitive approach followed here will make the subject accessible to a wider readership, we also show that it sheds light on a feature that has not been under the purview of the customary approach: the role of the hole–hole scatterings vis-à-vis the electron–electron scatterings as one goes from the BCS to the BEC end. More importantly, we show that there are critical values of the concentration (n)and the interaction parameter (λ) at which the condensation of Cooper pairs takes place; this is a finding in contrast with the view that such pairs are automatically condensed.

scholarly journals Bose–Einstein Condensation for Two Dimensional Bosons in the Gross–Pitaevskii Regime

2021 ◽  
Vol 183 (3) ◽  
Author(s):  
Cristina Caraci ◽  
Serena Cenatiempo ◽  
Benjamin Schlein
Keyword(s):  
Scattering Length ◽  
Low Energy ◽  
Einstein Condensation ◽  
Repulsive Interaction ◽  
Two Dimensional ◽  
Bose Einstein Condensation ◽  
Dimensional Unit ◽  
Optimal Bounds ◽  
Bose Einstein ◽  
Number Of Particles

AbstractWe consider systems of N bosons trapped on the two-dimensional unit torus, in the Gross-Pitaevskii regime, where the scattering length of the repulsive interaction is exponentially small in the number of particles. We show that low-energy states exhibit complete Bose–Einstein condensation, with almost optimal bounds on the number of orthogonal excitations.

scholarly journals Functional renormalization for the Bardeen–Cooper–Schrieffer to Bose–Einstein condensation crossover

2011 ◽  
Vol 369 (1946) ◽  
pp. 2779-2799 ◽  
Author(s):  
Michael M. Scherer ◽  
Stefan Floerchinger ◽  
Holger Gies
Keyword(s):  
Scattering Length ◽  
Einstein Condensation ◽  
Many Body ◽  
Derivative Expansion ◽  
Functional Renormalization Group ◽  
Bose Einstein Condensation ◽  
Fermionic Atoms ◽  
Large Length ◽  
The Many ◽  
Bose Einstein

We review the functional renormalization group (RG) approach to the Bardeen–Cooper–Schrieffer to Bose–Einstein condensation (BCS–BEC) crossover for an ultracold gas of fermionic atoms. Formulated in terms of a scale-dependent effective action, the functional RG interpolates continuously between the atomic or molecular microphysics and the macroscopic physics on large length scales. We concentrate on the discussion of the phase diagram as a function of the scattering length and the temperature, which is a paradigm example for the non-perturbative power of the functional RG. A systematic derivative expansion provides for both a description of the many-body physics and its expected universal features as well as an accurate account of the few-body physics and the associated BEC and BCS limits.

SUPERFLUID REGIMES IN DEGENERATE ATOMIC FERMI GASES

2006 ◽  
Vol 20 (19) ◽  
pp. 2739-2754
Author(s):  
G. V. SHLYAPNIKOV
Keyword(s):  
Scattering Length ◽  
Fermi Gases ◽  
Einstein Condensation ◽  
Weakly Bound ◽  
Future Studies ◽  
Bose Einstein Condensation ◽  
Ultracold Fermi Gases ◽  
Fermionic Atoms ◽  
Atom Interaction ◽  
Bose Einstein

We give a brief overview of recent studies of quantum degenerate regimes in ultracold Fermi gases. The attention is focused on the regime of Bose-Einstein condensation of weakly bound molecules of fermionic atoms, formed at a large positive scattering length for the interspecies atom-atom interaction. We analyze remarkable collisional stability of these molecules and draw prospects for future studies.

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