No Arabic abstract
We present a study of how macroscopic flow can be produced in Bose-Einstein condensate confined in a racetrack potential by stirring with a wide rectangular barrier. This potential consists of two half-circle channels separated by straight channels of length $L$ and is a ring potential if $L=0$. We present the results of a large set of simulations where racetrack condensates stirred with a barrier under varying conditions of barrier height, stir speed, racetrack geometry, and temperature. We found that stirring was readily able to produce circulation in ring and non-ring geometries but that the exact amount of flow produced was complicated. We therefore also studied the mechanism by which flow was produced in the stirring process. We found that circulation was induced by the swap of a vortex/anti-vortex pair that was initially created by backflow of the condensate in the region of depressed density by the barrier. When the barrier strength reached a critical value a number of these vortex-swap events occurred in rapid succession so that flow speed of the circulation produced was enough to exceed the stir speed of the barrier. Flow that was initially localized in the vortices involved in the vortex swap was converted into macroscopic flow around the racetrack by pairs of disturbances each generated during the vortex swap. Each pair consisted of a vortex/anti-vortex pair moving in the anti-stir direction and a compression wave moving in the stir direction. This picture of the mechanism for making flow will enable the design of stirring schedules that create a desired amount of flow.
We analyze phase interferometry realized with a bosonic Josephson junction made of trapped dilute and ultracold atoms. By using a suitable phase sensitivity indicator we study the zero temperature junction states useful to achieve sub shot-noise precisions. Sub shot-noise phase shift sensitivities can be reached even at finite temperature under a suitable choice of the junction state. We infer a scaling law in terms of the size system (that is, the number of particles) for the temperature at which the shot-noise limit is not overcome anymore
We use the T-matrix approach for studying highly polarized homogeneous Fermi gases in one dimension with repulsive or attractive contact interactions. Using this approach, we compute ground state energies and values for the contact parameter that show excellent agreement with exact and other numerical methods at zero temperature, even in the strongly interacting regime. Furthermore, we derive an exact expression for the value of the contact parameter in one dimension at zero temperature. The model is then extended and used for studying the temperature dependence of ground state energies and the contact parameter.
We study a trapped two-dimensional spin-imbalanced Fermi gas over a range of temperatures. In the moderate temperature regime, associated with current experiments, we find reasonable semi-quantitative agreement with the measured density profiles as functions of varying spin imbalance and interaction strength. Our calculations show that, in contrast to the three-dimensional case, the phase separation which appears as a spin balanced core, can be associated with non-condensed fermion pairs. We present predictions at lower temperatures where a quasi-condensate will first appear, based on the pair momentum distribution and following the protocols of Jochim and collaborators. While these profiles also indicate phase separation, they exhibit distinctive features which may aid in identifying the condensation regime.
The continual success of superconducting photon-detection technologies in quantum photonics asserts cryogenic-compatible systems as a cornerstone of full quantum photonic integration. Here, we present a way to reversibly fine-tune the optical properties of individual waveguide structures through local changes to their geometry using solidified xenon. Essentially, we remove the need for additional on-chip calibration elements, effectively zeroing the power consumption tied to reconfigurable elements, with virtually no detriment to photonic device performance. We enable passive circuit tuning in pressure-controlled environments, locally manipulating the cladding thickness over portions of optical waveguides. We realize this in a cryogenic environment, through controlled deposition of xenon gas and precise tuning of its thickness using sublimation, triggered by on-chip resistive heaters. $pi$ phase shifts occur over a calculated length of just $L_{pi}$ = 12.3$pm$0.3 $mu m$. This work paves the way towards the integration of compact, reconfigurable photonic circuits alongside superconducting detectors, devices, or otherwise.
In a Bose superfluid, the coupling between transverse (phase) and longitudinal fluctuations leads to a divergence of the longitudinal correlation function, which is responsible for the occurrence of infrared divergences in the perturbation theory and the breakdown of the Bogoliubov approximation. We report a non-perturbative renormalization-group (NPRG) calculation of the one-particle Green function of an interacting boson system at zero temperature. We find two regimes separated by a characteristic momentum scale $k_G$ (Ginzburg scale). While the Bogoliubov approximation is valid at large momenta and energies, $|p|,|w|/cgg k_G$ (with $c$ the velocity of the Bogoliubov sound mode), in the infrared (hydrodynamic) regime $|p|,|w|/cll k_G$ the normal and anomalous self-energies exhibit singularities reflecting the divergence of the longitudinal correlation function. In particular, we find that the anomalous self-energy agrees with the Bogoliubov result $Sigan(p,w)simeqconst$ at high-energies and behaves as $Sigan(p,w)sim (c^2p^2-w^2)^{(d-3)/2}$ in the infrared regime (with $d$ the space dimension), in agreement with the Nepomnyashchii identity $Sigan(0,0)=0$ and the predictions of Popovs hydrodynamic theory. We argue that the hydrodynamic limit of the one-particle Green function is fully determined by the knowledge of the exponent $3-d$ characterizing the divergence of the longitudinal susceptibility and the Ward identities associated to gauge and Galilean invariances. The infrared singularity of $Sigan(p,w)$ leads to a continuum of excitations (coexisting with the sound mode) which shows up in the one-particle spectral function.