Spatial coherence of thermal near fields

Henkel, Carsten; Joulain, Karl; Carminati, Rémi; Greffet, Jean‐Jacques

doi:10.1016/s0030-4018(00)01048-8

Cited by 106 publications

(114 citation statements)

References 30 publications

Supporting

Mentioning

105

Contrasting

Order By: Relevance

“…͑65͒ is proportional to q ʈ and ū ͑e͒ ϰ 1 / z 3 in the near field. 18 However, this does not happen in general for periodic structures. Therefore, the near-field heat transport can be modified when a uniform film is periodically structured.…”

Section: ͑63͒mentioning

confidence: 99%

“…It is well known that, for a flat surface, the electric energy density decreases with increasing z as 1 / z 3 in the near field. 17,18 However, this is not in general true for photonic crystals. To see this more clearly, we set r ʈ1 = r ʈ2 and z = z 1 = z 2 in Eq.…”

Section: ͑58͒mentioning

confidence: 99%

“…For example, at a distance z from the surface, the electric energy density does not necessarily scale as 1 / z 3 in the near field, as is the case for a flat surface. 17,18 …”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Theory of thermal emission from periodic structures

Han

2009

Phys. Rev. B

View full text Add to dashboard Cite

We provide a momentum space formulation for thermal emission from photonic crystals and corroborate Kirchhoff's law for periodic structures. This formalism allows us to calculate the optical coherence in the far and near fields of photonic crystals. Calculations in the far field show that the exchange of momentum between a linear grating and the surface polaritons can significantly decrease the coherence length for the grating compared to that of a flat surface. Considerations in the near field of photonic crystals show that, unlike observations of flat surfaces, the electric energy density does not necessarily decrease as 1 / z 3 for a distance z from the surface.

show abstract

Section: ͑63͒mentioning

confidence: 99%

Section: ͑58͒mentioning

confidence: 99%

See 1 more Smart Citation

Theory of thermal emission from periodic structures

Han

2009

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

“…This is neglected here and makes a direct comparison beyond the scope of our model. If we ignore spin flip processes for simplicity, magnetic noise in a microtrap above a planar substrate translates into a random potential with correlation function [4, 13]where γ is the noise strength and the spatial correlation length l corr is of the order of the microtrap height [13]. If the potential fluctuated only in time, γ would correspond to the phase diffusion rate.…”

mentioning

confidence: 99%

mentioning

confidence: 99%

Decoherence of Bose-Einstein condensates in microtraps

Henkel

Gardiner

2004

Phys. Rev. A

Self Cite

View full text Add to dashboard Cite

We discuss the impact of thermally excited near fields on the coherent expansion of a condensate in a miniaturized electromagnetic trap. Monte Carlo simulations are compared with a kinetic two-component theory and indicate that atom interactions can slow down decoherence. This is explained by a simple theory in terms of the condensate dynamic structure factor. 03.65.Yz, The decoherence of atomic de Broglie waves is a key issue for applications in atom interferometry and quantum information processing. It is particularly relevant for integrated atom optics based on miniaturized hybrid electromagnetic surface traps [1,2] because the atoms couple to a macroscopic, 'hot' substrate nearby. Loss processes due to spin flips driven by thermal magnetic near fields have very recently been observed in the laboratory [3], in agreement with predictions made by one of us [4]. In this paper, we discuss a simple decoherence scenario for Bose-Einstein condensed atomic matter waves in a quasi-one-dimensional microtrap. This setup provides a realization of the standard model of environment-induced decoherence [5] featuring two attractive advantages: (i) the coupling to the environment can be microscopically modelled in terms of the magnetic dipole interaction; (ii) due to atomic interactions, the matter wave equation becomes nonlinear and novel features are expected. We compare Monte Carlo simulations for the condensate order parameter to a kinetic theory for the matter wave coherence function and show that already for moderate interaction parameters, a Bose-Einstein condensate is more robust with respect to a fluctuating environment.We consider an elongated trap similar to those formed above current carrying wires [1]. In the confinement dominated regime, the matter waves can be described in a onedimensional mean field approximation [6] (units withh = m = 1),where the interaction parameter g = 2Ω r a/(1 − 1.46a/a r ) depends on the three-dimensional scattering length a, the radial confinement frequency Ω r and ground state size a r [7]. The density |ψ(x, t)| 2 is normalized to the total number of particles N . The potential V (x, t) determines the dynamics in the axial direction. We assume that for t < 0, the atoms are confined in a harmonic trap with frequency Ω and occupy all the zero-temperature condensate mode φ 0 (x) [8].For t ≥ 0, the axial confinement is switched off, the atoms expand, and we take into account their interaction with magnetic field fluctuations by letting V (x, t) be a random potential. Note that the radial confinement is kept constant. Eq. (1) thus describes the interplay between matter wave interactions and time-dependent noise in an essentially one-dimensional geometry. In contrast to previous work in the field of nonlinear random waves [9, 10], our initial condition does not correspond to a self-contained soliton because we assume repulsive interactions g > 0. Current experiments in wire traps have been hampered by the presence of a static field modulation that leads to the fragmentation of the expandi...

show abstract

Interaction of Atoms, Ions, and Molecules with Surfaces

Henkel

2011

Atom Chips

View full text Add to dashboard Cite

Spatial coherence of thermal near fields

Cited by 106 publications

References 30 publications

Theory of thermal emission from periodic structures

Theory of thermal emission from periodic structures

Decoherence of Bose-Einstein condensates in microtraps

Interaction of Atoms, Ions, and Molecules with Surfaces

Contact Info

Product

Resources

About