9,608 research outputs found
Dynamics of Two-Component Bose-Einstein Condensates Coupled with Environment
We investigate the dynamics of an open Bose-Einstein condensate system
consisting of two hyperfine states of the same atomic species which are coupled
by tunable Raman laser. It is already suggested that the detuning between the
laser frequency and transition frequency affect significantly on the dynamics
of the pure condensate. Here we show that the detuning effect is suppressed by
noise and dissipation caused by the environment. The increase of coherence and
purity are also displayed for specific parameters. As a verification to the
lowest-order approximation we derive the hierarchy of motion equations in the
second-order approximation. It turns out that the former one can describe the
dynamical evolution qualitatively for weak noise and dissipation and
quantitatively for strong noise and dissipation.Comment: 7 pages,8 figure
Supersymmetric Localization in GLSMs for Supermanifolds
In this paper we apply supersymmetric localization to study gauged linear
sigma models (GLSMs) describing supermanifold target spaces. We use the
localization method to show that A-twisted GLSM correlation functions for
certain supermanifolds are equivalent to A-twisted GLSM correlation functions
for hypersurfaces in ordinary spaces under certain conditions. We also argue
that physical two-sphere partition functions are the same for these two types
of target spaces. Therefore, we reproduce the claim of arXiv:hep-th/9404186,
arXiv:hep-th/9506070. Furthermore, we explore elliptic genera and (0,2)
deformations and find similar phenomena.Comment: 31 pages, no figure
Dissipation effect in the double-well Bose-Einstein Condensate
Dynamics of the double-well Bose-Einstein condensate subject to energy
dissipation is studied by solving a reduced one-dimensional time-dependent
Gross-Pitaevskii equation numerically. We first reproduce the phase space
diagram of the system without dissipation systematically, and then calculate
evolutionary trajectories of dissipated systems. It is clearly shown that the
dissipation can drive the system to evolve gradually from the -mode
quantum macroscopic self-trapping state, a state with relatively higher energy,
to the lowest energy stationary state in which particles distribute equally in
the two wells. The average phase and phase distribution in each well are
discussed as well. We show that the phase distribution varies slowly in each
well but may exhibit abrupt changes near the barrier. This sudden change occurs
at the minimum position in particle density profile. We also note that the
average phase in each well varies much faster with time than the phase
difference between two wells.Comment: 7 pages, 7 figures, to be published in Euro. Phys. J.
Controlling two-phase flow in microfluidic systems using electrowetting
Electrowetting (EW)-based digital microfluidic systems (DMF) and droplet-based\ud
two-phase flow microfluidic systems (TPF) with closed channels are the most\ud
widely used microfluidic platforms. In general, these two approaches have been\ud
considered independently. However, integrating the two technologies into one\ud
allows to combine the advantages of both worlds: (i) high throughput (from TPF)\ud
and (ii) precise control over each individual drop (from EW). Thus the aim of this\ud
thesis was to investigate the combination of EW technology and the droplet-based\ud
TPF platform. Hence we designed and developed several of such hybrid microfluidic\ud
chips, using different approaches and microfabrication technologies. We\ud
demonstrated the new functionalities of the developed devices and explored the\ud
physics ingredients based on our observations
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