491 research outputs found
Lateral interatomic dispersion forces
Van der Waals forces between atoms and molecules are universally assumed to
act along the line separating them. Inspired by recent works on effects which
can propel atoms parallel to a macroscopic surface via the Casimir--Polder
force, we predict a lateral van der Waals force between two atoms, one of which
is in an excited state with non-zero angular momentum and the other is
isotropic and in its ground state. The resulting force acts in the same way as
a planetary gear, in contrast to the rack-and-pinion motion predicted in works
on the lateral Casimir--Polder force in the analogous case, for which the force
predicted here is the microscopic origin. We illustrate the effect by
predicting the trajectories of an excited caesium in the vicinity of
ground-state rubidium, finding behaviour qualitatively different to that if
lateral forces are ignored
Spatial correlations of vacuum fluctuations and the Casimir-Polder potential
We calculate the Casimir-Polder intermolecular potential using an effective
Hamiltonian recently introduced. We show that the potential can be expressed in
terms of the dynamical polarizabilities of the two atoms and the equal-time
spatial correlation of the electric field in the vacuum state. This gives
support to an interesting physical model recently proposed in the literature,
where the potential is obtained from the classical interaction between the
instantaneous atomic dipoles induced and correlated by the vacuum fluctuations.
Also, the results obtained suggest a more general validity of this intuitive
model, for example when external boundaries or thermal fields are present.Comment: 7 page
Bohr-van Leeuwen theorem and the thermal Casimir effect for conductors
The problem of estimating the thermal corrections to Casimir and
Casimir-Polder interactions in systems involving conducting plates has
attracted considerable attention in the recent literature on dispersion forces.
Alternative theoretical models, based on distinct low-frequency extrapolations
of the plates reflection coefficient for transverse electric (TE) modes,
provide widely different predictions for the magnitude of this correction. In
this paper we examine the most widely used prescriptions for this reflection
coefficient from the point of view of their consistency with the Bohr-van
Leeuwen theorem of classical statistical physics, stating that at thermal
equilibrium transverse electromagnetic fields decouple from matter in the
classical limit. We find that the theorem is satisfied if and only if the TE
reflection coefficient vanishes at zero frequency in the classical limit. This
criterion appears to rule out some of the models that have been considered
recently for describing the thermal correction to the Casimir pressure with
non-magnetic metallic plates.Comment: 12 pages, no figures. Presentation has been significantly improved,
more references included. The new version matches the one accepted for
publication in Phys. Rev.
Casimir forces and non-Newtonian gravitation
The search for non-relativistic deviations from Newtonian gravitation can
lead to new phenomena signalling the unification of gravity with the other
fundamental interactions. Various recent theoretical frameworks indicate a
possible window for non-Newtonian forces with gravitational coupling strength
in the micrometre range. The major expected background in the same range is
attributable to the Casimir force or variants of it if dielectric materials,
rather than conducting ones, are considered. Here we review the measurements of
the Casimir force performed so far in the micrometre range and how they
determine constraints on non-Newtonian gravitation, also discussing the
dominant sources of false signals. We also propose a geometry-independent
parameterization of all data in terms of the measurement of the constant c. Any
Casimir force measurement should lead, once all corrections are taken into
account, to a determination of the constant c which, in order to assess the
accuracy of the measurement, can be compared with its more precise value known
through microscopic measurements. Although the last decade of experiments has
resulted in solid demonstrations of the Casimir force, the situation is not
conclusive with respect to being able to discover new physics. Future
experiments and novel phenomenological analysis will be necessary to discover
non-Newtonian forces or to push the window for their possible existence into
regions of the parameter space which theoretically appear unnatural.Comment: Also available at http://www.iop.org/EJ/abstract/1367-2630/8/10/23
Casimir energy and realistic model of dilute dielectric ball
The Casimir energy of a dilute homogeneous nonmagnetic dielectric ball at
zero temperature is derived analytically for the first time for an arbitrary
physically possible frequency dispersion of dielectric permittivity
. A microscopic model of dielectrics is considered,
divergences are absent in calculations because an average interatomic distance
is a {\it physical} cut-off in the theory. This fact has been
overlooked before, which led to divergences in various macroscopic approaches
to the Casimir energy of connected dielectrics.Comment: 12 pages, 1 figure, latex 2e, journal versio
Sculpting optical energy landscapes for multi-particle nanoscale assembly
To understand the forces and dynamics of two or more neutral particles trapped within an optical beam, careful consideration of the influence of inter-particle forces is required. The well-known, field-independent intrinsic force is known to derive from the Casimir-Polder interaction. However, the magnitude of this force may be over-ridden by the effect known as optical binding, in cases when the laser beam is of sufficient intensity. This binding interaction is completely independent of optomechanical effects relating to optical tweezers, and involves a stimulated (pairwise) forward-scattering process. Unlike the Casimir-Polder coupling, optical binding is not always an attractive force when both particles are in their ground state. Associated with optical binding are potential energy surfaces, which reveal intricate patterns of local minima – sets of positions in which one of the particles will sit at equilibrium (with the other notionally set at the origin). These optical energy landscapes, which can be illustrated by use of contour diagrams, have mostly been considered for systems in which spherical particles are optically bound. The effect of different particle shapes, for example tube-like structures, can also be explored. Moreover, although the theory of conventional optical binding generally assumes situations in which both particles reside in their ground states, new results arise when individual particles are excited to a higher electronic state. Although, in the experimentally most convenient structural configuration (for tumbling spherical particles), pairwise optical binding vanishes in the short-range region, novel effects can arise as a result of non-zero optical binding between three neighbouring particles
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