Orbital angular momentum dynamics of Bose-Einstein condensates trapped in two stacked rings

Eulàlia, Nicolau,; Mompart, J.; Juliá-Dı́az, B.; Ahufinger, V.

doi:10.1103/physreva.102.023331

Cited by 13 publications

(6 citation statements)

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“…[50], for a binary condensed system in a ring geometry; in Ref. [51], the authors reported a study with repulsive Bose-Einstein condensates (BECs) trapped in a two coupled rings configuration. The Ref.…”

Section: Introductionmentioning

confidence: 99%

Stability of a Bose condensed mixture on a bubble trap

Andriati,

Brito,

Tomio

et al. 2021

Preprint

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Stability and dynamical behavior of binary Bose-Einstein condensed mixtures trapped on the surface of a rigid spherical shell are investigated in the mean-field level, exploring the miscibility with and without vortex charges, considering repulsive and attractive interactions. In order to compute the critical points for the stability, we follow the Bogoliubov-de Gennes method for the analysis of perturbed solutions, with the constraint that initially the stationary states are in a complete miscible configuration. For the perturbed equal density mixture, of a homogeneous uniform gas and when hidden vorticity is verified, with the species having opposite azimuthal circulation, we consider small perturbation analysis for each unstable mode, providing a complete diagram with the intra-and inter-species interaction role on the stability of the miscible system. Finally, beyond small perturbation analysis, we explore the dynamics of some repulsive and attractive inter-species states by full numerical solutions of the time-dependent Gross-Pitaevskii equation.

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Section: Introductionmentioning

confidence: 99%

Stability of a Bose condensed mixture on a bubble trap

Andriati,

Brito,

Tomio

et al. 2021

Preprint

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“…This makes rotation sensing possible, as already demonstrated for neutral atoms of superfluid helium [6] and very recently for ultracold atoms [7], where the quantum interference of currents in a dc-AQUID was observed. Such efforts, along with another recent proposals to achieve rotation sensing by atomic persistent currents [8][9][10], may be considered as part of the rapidly growing branch of research known as 'quantum sensing' [11].…”

Section: Introductionmentioning

confidence: 99%

Rotation-driven transition into coexistent Josephson modes in an atomtronic dc-SQUID

Jezek,

Cataldo

2021

Preprint

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By means of a two-mode model, we show that transitions to different arrays of coexistent regimes in the phase space can be attained by rotating a double-well system, which consists of a toroidal condensate with two diametrically placed barriers. Such a configuration corresponds to the atomtronic counterpart of the well-known direct-current superconducting quantum interference device. Due to the phase gradient experimented by the on-site localized functions when the system is subject to rotation, a phase difference appears on each junction in order to satisfy the quantization of the velocity field around the torus. We demonstrate that such a phase can produce a significant change on the relative values of different types of hopping parameters. In particular, we show that within a determined rotation frequency interval, a hopping parameter, usually disregarded in nonrotating systems, turns out to rule the dynamics. At the limits of such a frequency interval, bifurcations of the stationary points occur, which substantially change the phase space portrait that describes the orbits of the macroscopic canonical conjugate variables. We analyze the emerging dynamics that combines the 0 and π Josephson modes, and evaluate the small-oscillation time-periods of such orbits at the frequency range where each mode survives. All the findings predicted by the model are confirmed by Gross-Pitaevskii simulations.

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“…Further studies in ring potentials include the observation of resistive flow in a double weak link ring potential [52], and discovering a current-phase relationship via interference with a reference BEC [53]. Josephson oscillations can also be studied with stacked rings [8].…”

Section: Introduction 11 Overview and Current Researchmentioning

confidence: 99%

“…Further development of this experimental sequence to produce circulations deterministically can be advantageous for creating currents in ring lattice systems such as coupled ring lattices [77] or ring lattices with leads [5,6,7]. It can also be useful for generating counter-propagating currents in different rings in a stacked configuration [77,8], where stirring might not be viable option.…”

Section: Introduction 11 Overview and Current Researchmentioning

confidence: 99%

“…Experimental Atomtronic setups thus require great flexibility and precision to manipulate the parameters of the system.A suitable candidate is an alkali atom Bose-Einstein Condensate as its superfluid property is useful to generate persistent currents. Persistent currents in ring structures play an important role in Atomtronics as it forms the basis of many interesting Atomtronic systems such as ring lattices [5,6,7] and stacked rings [8]. Conventional methods of generating a circulation is via optical stirring [9] or by imparting Orbital Angular Momentum(OAM) [10].…”

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An atomtronic experimental setup for engineering quantised circulations

Gan¹

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The growing field of Atomtronics is an important frontier for fundamental research and the development of new quantum technologies. Atomtronics is the study of atomic systems analogous to electronic circuits and components, where the carriers are neutral atoms instead of electrons. The dynamics of these simulated systems are useful for quantum metrology, magnetic sensing, rotational sensing and even to simulate black holes [1,2,3,4]. Experimental Atomtronic setups thus require great flexibility and precision to manipulate the parameters of the system.A suitable candidate is an alkali atom Bose-Einstein Condensate as its superfluid property is useful to generate persistent currents. Persistent currents in ring structures play an important role in Atomtronics as it forms the basis of many interesting Atomtronic systems such as ring lattices [5,6,7] and stacked rings [8]. Conventional methods of generating a circulation is via optical stirring [9] or by imparting Orbital Angular Momentum(OAM) [10]. However, these methods could be inadequate with the increased complexity of Atomtronic systems. Hence, a novel method for generating circulations is proposed and numerically simulated in this thesis. This method was inspired by two separate experiments, where it was shown that independent condensates in a segmented ring can create circulation through random phase acquisition, and a phase gradient imprint can reliably generate 1 angular momentum in a ring condensate. Bringing both ideas together, a novel protocol is devised where a 6 segment ring is imprinted with a set of phases. A total of three methods of phase imprinting were simulated. The initial two methods determined the successful set of phases, and the required imprint time. The final imprint method followed experimental methods and used previous results to show that circulations of up to winding number 2 can be created. In order to test this protocol, an Atomtronic experiment setup which produced a Rubidium-87 Bose-Einstein Condensate(BEC) was constructed. The atom cloud is initially condensed in a far-detuned optical crossed dipole trap, but is subsequently transferred to a combined blue-detuned optical trap. It is composed of two independent 532nm traps which provide strong vertical confinement to study 2D physics, and lateral trapping that can create highly tunable arbitrary traps. The capability of this setup is demonstrated by loading the condensate into a few arbitrary traps. Matter-wave interference is performed through a dynamic splitting of a square condensate, which shows the capability of our experimental setup. In the near future, this BEC setup will be used to perform the simulated novel circulation protocol and also ring lattice potentials.

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Orbital angular momentum dynamics of Bose-Einstein condensates trapped in two stacked rings

Cited by 13 publications

References 57 publications

Stability of a Bose condensed mixture on a bubble trap

Stability of a Bose condensed mixture on a bubble trap

Rotation-driven transition into coexistent Josephson modes in an atomtronic dc-SQUID

An atomtronic experimental setup for engineering quantised circulations

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