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1.
We investigate the properties of Bose–Einstein condensates(BECs) in a two-dimensional quasi-periodic optical lattice(OL) with eightfold rotational symmetry by numerically solving the Gross–Pitaevskii equation. In a stationary external harmonic trapping potential, we first analyze the evolution of matter-wave interference pattern from periodic to quasiperiodic as the OL is changed continuously from four-fold periodic to eight-fold quasi-periodic. We also investigate the transport properties during this evolution for different interatomic interaction and lattice depth, and find that the BEC crosses over from ballistic diffusion to localization. Finally, we focus on the case of eightfold symmetric lattice and consider a global rotation imposed by the external trapping potential. The BEC shows vortex pattern with eightfold symmetry for slow rotation, becomes unstable for intermediate rotation, and exhibits annular solitons with approximate axial symmetry for fast rotation. These results can be readily demonstrated in experiments using the same configuration as in Phys. Rev.Lett. 122 110404(2019). 相似文献
2.
We consider the mean-field dynamics of Bose–Einstein condensates in rotating harmonic traps and establish several stability and instability properties for the corresponding solution. We particularly emphasize the difference between the situation in which the trap is symmetric with respect to the rotation axis and the one where this is not the case. 相似文献
3.
The Gross–Pitaevskii equation (GPE) describing the evolution of the Bose–Einstein condensate (BEC) order parameter for weakly
interacting bosons supports dark solitons for repulsive interactions and bright solitons for attractive interactions. After
a brief introduction to BEC and a general review of GPE solitons, we present our results on solitons that arise in the BEC
of hard-core bosons, which is a system with strongly repulsive interactions. For a given background density, this system is
found to support both a dark soliton and an antidark soliton (i.e., a bright soliton on a pedestal) for the density profile.
When the background has more (less) holes than particles, the dark (antidark) soliton solution dies down as its velocity approaches
the sound velocity of the system, while the antidark (dark) soliton persists all the way up to the sound velocity. This persistence
is in contrast to the behaviour of the GPE dark soliton, which dies down at the Bogoliubov sound velocity. The energy–momentum
dispersion relation for the solitons is shown to be similar to the exact quantum low-lying excitation spectrum found by Lieb
for bosons with a delta-function interaction. 相似文献
4.
The stability of colliding Bose-Einstein condensates is investigated.
A set of coupled Gross-Pitaevskii equations is thus considered, and analyzed via a perturbative approach.
No assumption is made on the signs (or magnitudes) of the relevant parameters like the scattering lengths
and the coupling coefficients. The formalism is therefore valid for asymmetric as well as symmetric
coupled condensate wave states. A new set of explicit criteria is derived and analyzed. An extended
instability region, in addition to an enhanced instability growth rate, is predicted
for unstable two component bosons, as compared to the individual (uncoupled) state. 相似文献
5.
We demonstrate the existence of phase fluctuations in elongated Bose–Einstein condensates (BECs) and study the dependence
of these fluctuations on the system parameters. A strong dependence on temperature, atom number, and trapping geometry is
observed. Phase fluctuations directly affect the coherence properties of BECs. In particular, we observe instances where the
phase-coherence length is significantly smaller than the condensate size. Our method of detecting phase fluctuations is based
on their transformation into density modulations after ballistic expansion. An analytic theory describing this transformation
is developed.
Received: 13 July 2001 / Revised version: 28 September 2001 / Published online: 23 November 2001 相似文献
6.
Properties of the ground-state solitons, which exist in the spin–orbit coupling(SOC) Bose–Einstein condensates(BEC) in the presence of optical lattices, are presented. Results show that several system parameters, such as SOC strength,lattice depth, and lattice frequency, have important influences on properties of ground state solitons in SOC BEC. By controlling these parameters, structure and spin polarization of the ground-state solitons can be effectively tuned, so manipulation of atoms may be realized. 相似文献
7.
An overview of the physics of spinor and dipolar Bose–Einstein condensates (BECs) is given. Mean-field ground states, Bogoliubov spectra, and many-body ground and excited states of spinor BECs are discussed. Properties of spin-polarized dipolar BECs and those of spinor–dipolar BECs are reviewed. Some of the unique features of the vortices in spinor BECs such as fractional vortices and non-Abelian vortices are delineated. The symmetry of the order parameter is classified using group theory, and various topological excitations are investigated based on homotopy theory. Some of the more recent developments in a spinor BEC are discussed. 相似文献
8.
We propose an experimental scheme to show that the nonlinear magnetic solitary excitations can be achieved in an atomic spinor Bose–Einstein condensate confined in a blue-detuned optical lattice. Through exact theoretical calculations, we find that the magnetic solitons can be generated by the static magnetic dipole–dipole interaction (MDDI), of which the interaction range can be well controlled. We derive the existence conditions of the magnetic solitons under the nearest-neighboring, the next-nearest-neighboring approximations as well as the long-range consideration. It is shown that the long-range feature of the MDDI plays an important role in determining the existence of magnetic solitons in this system. In addition, to facilitate the experimental observation, we apply an external laser field to drive the lattice, and the existence regions for the magnetic soliton induced by the anisotropic light-induced dipole–dipole interaction are also investigated. 相似文献
10.
In this article, we describe an experimental system for generating Bose–Einstein condensates and controlling the shape and
motion of a condensate by using miniaturised magnetic potentials. In particular, we describe the magnetic trap setup, the
vacuum system, the use of dispenser sources for loading a high number of atoms into the magneto-optical trap, the magnetic
transfer of atoms into the microtrap, and the experimental cycle for generating Bose–Einstein condensates. We present first
results on outcoupling of condensates into a magnetic waveguide and discuss influences of the trap surface on the ultra-cold
ensembles.
Received: 21 August 2002 / Revised version: 10 December 2002 / Published online: 26 February 2003
RID="*"
ID="*"Corresponding author. Fax: +49-7071/295-829, E-mail: fortagh@pit.uni-tuebingen.de 相似文献
11.
Bose–Einstein condensates of rubidium atoms are transferred into one- and two-dimensional optical lattice potentials. The
phase coherence of the condensate wavefunction in the lattice potential is studied by suddenly releasing the atoms from the
trapping potential and observing the multiple matter-wave interference pattern of several thousand expanding quantum gases.
We show how arbitrary phase gradients can be mapped onto the periodic wavefunction through the application of a potential
gradient. Furthermore, the experimentally measured strength of the momentum components is compared to a theoretical model
of the condensate wavefunction in the lattice.
Received: 3 July 2001 / Revised version: 26 September 2001 / Published online: 23 November 2001 相似文献
12.
An interplay of optical lattices and nonlinear impurities in controlling the dynamics of Bose–Einstein condensate bright solitons is investigated using an effective potential approach. The ability of pushing the solitons into or away from the impurity region by changing both lattice and impurity parameters is suggested. A possibility for the existence of stable fundamental gap solitons, which appear to satisfy an inverted Vakhitov–Kolokolov criterion, is examined. 相似文献
13.
Based on the tunable intensity and waist of Gaussian laser, harmonic-like and toroidal potentials can be achieved and the ground-state properties of the dipolar Bose–Einstein condensate (BEC) trapped in such potentials are investigated. It is found that, in the harmonic-like potential, the singly and doubly quantized vortices can exist in the scale condensate and translate respectively into vortex pairs and triangular vortex lattice with increasing dipole–dipole interaction (DDI). Especially, the sandwich-like structure can be observed in the ground-state density profiles by tuning the direction and strength of DDI for some rotating frequency. In the toroidal potential, the competition between the inter-component interaction and DDI can induce the transition between immiscible and miscible states, and results in the structures of a doubly quantized vortex surrounded by a vortex ring. It is worth emphasizing that, with the increasing of DDI, the doubly quantized vortex in the harmonic-like potential becomes two singly quantized vortices, while in the toroidal potential it is no happen due to the presence of Gaussian barrier. 相似文献
14.
A space-dependent atomic superfluid current with an explicit analytical expression and its role in Bose–Einstein condensates are studied. The factors determining the intensity and oscillating amplitude of the space-dependent atomic superfluid current are explored in detail. Research findings reveal that the intensity of the current can be regulated by setting an appropriate configuration of the trap and its oscillating amplitude can be adjusted via Feshbach resonance. It is numerically demonstrated that the space-dependent atomic superfluid current can exert great influence on the spatial distribution of condensed atoms, and even force condensed atoms into very complex distributional states with spatial chaos. 相似文献
15.
Following on our earlier work in this area, here we examine in some detail the physical mechanism involved in the Bose–Einstein condensation process. In particular we emphasise the significance of the zero value of the chemical potential at and below the critical temperature. The molar zero-point energy (ZPE) for an ideal gas of He 4 atoms in our new analysis is estimated and found to be very close to that calculated for an ideal Fermi gas of He 3 atoms under the same conditions. This gives numerical support to our theory. We also show how the theory is consistent with the presence of a density maximum in liquid He 4. 相似文献
16.
We study a multi-group version of the mean-field or Curie–Weiss spin model. For this model, we show how, analogously to the classical (single-group) model, the three temperature regimes are defined. Then we use the method of moments to determine for each regime how the vector of the group magnetisations behaves asymptotically. Some possible applications to social or political sciences are discussed. 相似文献
18.
We investigate a kind of solitons in the two-component Bose–Einstein condensates with axisymmetric configurations in the R2×S1space. The corresponding topological structure is referred to as Hopfion. The spin texture differs from the conventional three-dimensional(3D) skyrmion and knot, which is characterized by two homotopy invariants. The stability of the Hopfion is verified numerically by evolving the Gross–Pitaevskii equations in imaginary time. 相似文献
20.
The interference between two condensates with repulsive interaction is investigated numerically by solving the onedimensional time-dependent Gross–Pitaevskii equation.The periodic interference pattern forms in two condensates,which are prepared in a double-well potential consisting of two truncated harmonic wells centered at different positions.Dark solitons are observed when two condensates overlap.Due to the existence of atom–atom interactions,atoms are transferred among the ground state and the excited states,which coincides with the condensate energy change. 相似文献
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