Interaction of a Bose-Einstein condensate with a surface: perturbative S-matrix approach

@inproceedings{Schiefele2010InteractionOA,
  title={Interaction of a Bose-Einstein condensate with a surface: perturbative S-matrix approach},
  author={Jurgen Schiefele and Carsten Henkel},
  year={2010}
}
We derive an expression for the collective Casimir-Polder interaction of a trapped gas of condensed bosons with a plane surface through the coupling of the condensate atoms with the electromagnetic field. A systematic perturbation theory is developed based on a diagrammatic expansion of the electromagnetic self-energy. In the leading order, the result for the interaction-energy is proportional to the number of atoms in the condensate mode. At this order, atom-atom interactions and recoil… 

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References

SHOWING 1-10 OF 39 REFERENCES

Dynamics of Bose-Einstein condensates: Variational solutions of the Gross-Pitaevskii equations

A variational technique is applied to solve the time-dependent nonlinear Schrodinger equation ~Gross- Pitaevskii equation! with the goal to model the dynamics of dilute ultracold atom clouds in the

Molecules in a bose-einstein condensate

This method allows molecular binding energies to be determined with unprecedented accuracy and is of interest as a mechanism for the generation of a molecular Bose-Einstein condensate.

Van der Waals interactions between atoms and dispersive surfaces at finite temperature

  • M. GorzaM. Ducloy
  • Physics
    2007 European Conference on Lasers and Electro-Optics and the International Quantum Electronics Conference
  • 2007
Abstract. The long-range interactions between an atomic system in an arbitrary energy level and dispersive surfaces in thermal equilibrium at non-zero temperature are revisited within the framework

Bose-Einstein condensation

In 1924 the Indian physicist Satyendra Nath Bose sent Einstein a paper in which he derived the Planck law for black-body radiation by treating the photons as a gas of identical particles. Einstein

Molecular quantum electrodynamics

  • R. Woolley
  • Physics
    Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
  • 1971
A comparison is made of the conventional quantum mechanical hamiltonian for the interaction of molecular systems with the electromagnetic field and the alternative multipole formulation given

Casimir–Polder forces, boundary conditions and fluctuations

We review different aspects of atom–atom and atom–wall Casimir–Polder forces. We first discuss the role of a boundary condition on the interatomic Casimir–Polder potential between two ground-state

Measurement of the Casimir-Polder force through center-of-mass oscillations of a Bose-Einstein condensate

We have performed a measurement of the Casimir-Polder force using a magnetically trapped {sup 87}Rb Bose-Einstein condensate. By detecting perturbations of the frequency of center-of-mass

Measurement of the temperature dependence of the Casimir-Polder force.

The effect of the Casimir-Polder force is measured to be nearly 3 times larger for a 605 K substrate than for a room-temperature substrate, showing a clear temperature dependence in agreement with theory.

Quantum electrodynamics near a dielectric half-space

Radiative corrections in systems near imperfectly reflecting boundaries are investigated. As an example, the self-energy of an unbound electron close to a single surface is calculated at one-loop

Conductivity of dielectric and thermal atom–wall interaction

We compare the experimental data of the first measurement of a temperature dependence of the Casimir–Polder force by Obrecht et al (2007 Phys. Rev. Lett. 98 063201) with the theory taking into