Bose-Einstein condensate in a harmonic trap decorated with Dirac delta functions

Abstract

We study Bose-Einstein condensation in a harmonic trap with a dimple potential. We specifically consider the case of a tight and deep dimple potential which is modelled by a Dirac delta function. This allows for simpler, explicit numerical and analytical investigations of noninteracting gases. Thus, the Schrodinger equation is used instead of the Gross-Pitaevski equation. Calculating the atomic density, chemical potential, critical temperature and condensate fraction, the role of the relative depth of the dimple potential with respect to the harmonic trap in large condensate formation at enhanced temperatures is clearly revealed.

8 pages, 8 figures

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Cited by in corpus (16)

• Growth dynamics of a Bose-Einstein condensate in a dimple trap without cooling
• Statics and dynamics of quasi one-dimensional Bose-Einstein condensate in harmonic and dimple trap
• Rydberg Composites
• An approximation to the Woods-Saxon potential based on a contact interaction
• Band spectra of periodic hybrid $\delta$-${\delta }^{\prime }$ structures
• Kinetics of Bose-Einstein condensation in a dimple potential
• The Birman-Schwinger Operator for a Parabolic Quantum Well in a Zero-Thickness Layer in the Presence of a Two-Dimensional Attractive Gaussian Impurity
• Soliton response to transient trap variations
• Analysis of a one-dimensional Hamiltonian with a singular double well consisting of two nonlocal ${\delta }^{\prime }$ interactions
• A model study on a pair of trapped particles interacting with an arbitrary effective range
• Bound states of spin-orbit coupled cold atoms in a Dirac delta-function potential
• Unidirectional spin transport of a spin-orbit-coupled atomic matter wave using a moving Dirac $\delta$-potential well
• The Harmonic Oscillator Potential Perturbed by a Combination of Linear and Non-linear Dirac Delta Interactions with Application to Bose-Einstein Condensation
• A model study on atom-atom interactions with large scattering length in quasi-two dimensional traps
• A Parabolic Model for the Dimple Potentials
• On Schrödinger Operators Modified by $\delta$ Interactions