2 research outputs found
Coreless vortices in a spinor Bose-Einstein condensate
Thesis (Ph. D.)--University of Rochester. Institute of Optics, 2012.Bose-Einstein condensates (BECs) provide the opportunity to study the rotational
properties of quantum
uids in a low density regime. Early experiments
created scalar vortices in single-component BECs, and showed that they share
many of the characteristics of denser super
uids such as quantized angular momentum
and persistent current.
Vortices have also been created in multi-component, or spinor, BECs, in which
case the wave function, or macroscopic order parameter, of the condensate is a
vector. A vortex in one of the components of a spinor BEC is equivalent to a
scalar vortex in a single-component condensate; the vortex core, however, can be
lled with atoms in one of the other populated spin states, leaving the overall
density of the cloud non-singular.
"Coreless" vortices can be coherently created by transferring orbital angular
momentum from a Laguerre-Gaussian (LG) beam to the condensate through the
use of a two-photon Raman technique. This coherent population transfer interaction,
along with the fundamental dierences between the rotational properties
of scalar and coreless vortices are discussed, and analysis is presented on several
specic spin textures including two and three-component coreless vortices created
in either a spin-1 or spin-2 87Rb BEC. The rotation of the vortices is conrmed
directly through matter-wave interference.
The coreless vortex creation process can be interpreted as the coherent transfer
of optical information from the LG beam to matter: the two-photon Raman
interaction in a lambda conguration writes the dierence in the electric elds
into the vectorial wave function of the spinor BEC. This process simultaneously
transfers population between the initial and nal states of the lambda system,
creating a ground state coherence between the populated states.
If the two Raman beams are a defocused Gaussian and a tightly focused LG
beam, then the doughnut intensity prole and the azimuthal phase winding of the
LG beam is written into the condensate in the form of a two-component coreless
vortex. This optical information can then be retrieved from the BEC through the
application of a uniform intensity \read" beam to one transition of the lambda
system. The interaction between this read beam and the ground state coherence
generates light on the other transition of the lambda with an intensity prole and
phase corresponding to the initial LG beam.
A model is presented that uses the density matrix formalism to describe this
transfer and retrieval of optical information in all three spatial dimensions as
well as time. The dependence of the intensity prole, phase, and total energy of
the generated light is investigated as function of the intensity and single-photon
detuning of the read beam for both the case of a homogeneous BEC and one with
a Gaussian density distribution
Coreless vortices in a spinor Bose-Einstein condensate
Thesis (Ph. D.)--University of Rochester. Institute of Optics, 2012.Bose-Einstein condensates (BECs) provide the opportunity to study the rotational
properties of quantum
uids in a low density regime. Early experiments
created scalar vortices in single-component BECs, and showed that they share
many of the characteristics of denser super
uids such as quantized angular momentum
and persistent current.
Vortices have also been created in multi-component, or spinor, BECs, in which
case the wave function, or macroscopic order parameter, of the condensate is a
vector. A vortex in one of the components of a spinor BEC is equivalent to a
scalar vortex in a single-component condensate; the vortex core, however, can be
lled with atoms in one of the other populated spin states, leaving the overall
density of the cloud non-singular.
"Coreless" vortices can be coherently created by transferring orbital angular
momentum from a Laguerre-Gaussian (LG) beam to the condensate through the
use of a two-photon Raman technique. This coherent population transfer interaction,
along with the fundamental dierences between the rotational properties
of scalar and coreless vortices are discussed, and analysis is presented on several
specic spin textures including two and three-component coreless vortices created
in either a spin-1 or spin-2 87Rb BEC. The rotation of the vortices is conrmed
directly through matter-wave interference.
The coreless vortex creation process can be interpreted as the coherent transfer
of optical information from the LG beam to matter: the two-photon Raman
interaction in a lambda conguration writes the dierence in the electric elds
into the vectorial wave function of the spinor BEC. This process simultaneously
transfers population between the initial and nal states of the lambda system,
creating a ground state coherence between the populated states.
If the two Raman beams are a defocused Gaussian and a tightly focused LG
beam, then the doughnut intensity prole and the azimuthal phase winding of the
LG beam is written into the condensate in the form of a two-component coreless
vortex. This optical information can then be retrieved from the BEC through the
application of a uniform intensity \read" beam to one transition of the lambda
system. The interaction between this read beam and the ground state coherence
generates light on the other transition of the lambda with an intensity prole and
phase corresponding to the initial LG beam.
A model is presented that uses the density matrix formalism to describe this
transfer and retrieval of optical information in all three spatial dimensions as
well as time. The dependence of the intensity prole, phase, and total energy of
the generated light is investigated as function of the intensity and single-photon
detuning of the read beam for both the case of a homogeneous BEC and one with
a Gaussian density distribution