Superfluid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:math>Josephson weak links

Davis, J. C.; Packard, R. E.

doi:10.1103/revmodphys.74.741

Cited by 84 publications

(88 citation statements)

References 76 publications

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“…The experimental work has been reviewed in Ref. [5]. A theoretical review with a somewhat different emphasis has been given in Ref.…”

Section: Introductionmentioning

confidence: 99%

Theory of Josephson Phenomena in Superfluid 3He

Thuneberg

2006

AIP Conference Proceedings

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Abstract. Quite detailed theoretical description of superfluid 3 He is possible on length scales that are much larger than the atomic scale. We discuss weak links between two bulk states of 3 He-B. The current through the weak link is determined by the bound states at the link. The bound state energies are spin split depending on the order parameters in the bulk. As a result, unusual current-phase relations with π state appear. For not too weak links, the order parameter in the bulk is modified because of the Josephson coupling. This leads to a stronger π state and to an additional current at constant pressure bias. The theoretical results are compared with experiments.

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“…The experimental work has been reviewed in Ref. [5]. A theoretical review with a somewhat different emphasis has been given in Ref.…”

Section: Introductionmentioning

confidence: 99%

Theory of Josephson Phenomena in Superfluid 3He

Thuneberg

2006

AIP Conference Proceedings

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“…The corresponding relations can be found in [1][2][3]. The first superfluid Josephson junctions were realized in superfluid 3 He in 1997 [4][5][6]. The Josephson junction dynamics relies on the existence of two coupled macroscopic quantum states.…”

Section: Introductionmentioning

confidence: 99%

Revivals in an attractive Bose-Einstein condensate in a double-well potential and their decoherence

Pawłowski¹,

Ziń²,

Rza̧żewski³

et al. 2011

Phys. Rev. A

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We study the dynamics of ultracold attractive atoms in a weakly linked two potential wells. We consider an unbalanced initial state and monitor dynamics of the population difference between the two wells. The average imbalance between wells undergoes damped oscillations, like in a classical counterpart, but then it revives almost to the initial value. We explain in details the whole behavior using three different models of the system. Furthermore we investigate the sensitivity of the revivals on the decoherence caused by one-and three-body losses. We include the dissipative processes using appropriate master equations and solve them using the stochastic wave approximation method.

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“…Traditional SQUIDs are used to construct magnetic-field detectors, voltmeters, gradiometers, and a host of other metrologic devices [8]. SQUID circuits have been realized with either tunnel or weaklink junctions [9,10]. In gaseous Bose-Einstein condensates (BECs), Josephson-like junctions have been demonstrated in double-well potentials [11,12] and a closed-loop atom "circuit" was implemented in a ringshaped confining potential [13].…”

Section: Introductionmentioning

confidence: 99%

Probing the circulation of ring-shaped Bose-Einstein condensates

et al. 2013

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This paper reports the results of a theoretical and experimental study of how the initial circulation of ring-shaped Bose-Einstein condensates (BECs) can be probed by time-of-flight (TOF) images. We have studied theoretically the dynamics of a BEC after release from a toroidal trap potential by solving the 3D Gross-Pitaevskii (GP) equation. The trap and condensate characteristics matched those of a recent experiment. The circulation, experimentally imparted to the condensate by stirring, was simulated theoretically by imprinting a linear azimuthal phase on the initial condensate wave function. The theoretical TOF images were in good agreement with the experimental data. We find that upon release the dynamics of the ring-shaped condensate proceeds in two distinct phases. First, the condensate expands rapidly inward, filling in the initial hole until it reaches a minimum radius that depends on the initial circulation. In the second phase, the density at the inner radius increases to a maximum after which the hole radius begins slowly to expand. During this second phase a series of concentric rings appears due to the interference of ingoing and outgoing matter waves from the inner radius. The results of the GP equation predict that the hole area is a quadratic function of the initial circulation when the condensate is released directly from the trap in which it was stirred and is a linear function of the circulation if the trap is relaxed before release. These scalings matched the data. Thus, hole size after TOF can be used as a reliable probe of initial condensate circulation. This connection between circulation and hole size after TOF will facilitate future studies of atomtronic systems that are implemented in ultracold quantum gases.

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Superfluid3HeJosephson weak links

Cited by 84 publications

References 76 publications

Theory of Josephson Phenomena in Superfluid 3He

Theory of Josephson Phenomena in Superfluid 3He

Revivals in an attractive Bose-Einstein condensate in a double-well potential and their decoherence

Probing the circulation of ring-shaped Bose-Einstein condensates

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