Stability analysis and attractor dynamics of three-dimensional dark solitons with localized dissipation

Baals, Christian; Moreno, Alexandre Gil; Jiang, Jian; Benary, Jens; Ott, Herwig

doi:10.1103/physreva.103.043304

Cited by 8 publications

(7 citation statements)

References 28 publications

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“…Atomic losses induced by local dissipation were monitored as a function of noise strength, providing a proxy for a many-body version of the Zeno effect. The stabilisation of dark solitons by engineered losses has been studied in [56]. Fluctuations in the condensate can build up strong correlations with localized dissipation, resulting in a suppression of transport at large noise strength which can be regarded as non-equilibrium phase transition [57,58].…”

Section: Introductionmentioning

confidence: 99%

Controlling superfluid flows using dissipative impurities

et al. 2023

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We propose and analyze a protocol to create and control the superfluid flow in a one dimensional, weakly interacting Bose gas by noisy point contacts. Considering first a single contact in a static or moving condensate, we identify three different dynamical regimes: I. a linear response regime, where the noise induces a coherent flow in proportion to the strength of the noise, II. a Zeno regime with suppressed currents, and III. a regime of continuous soliton emission. Generalizing to two point contacts in a condensate at rest we show that noise tuning can be employed to control or stabilize the superfluid transport of particles along the segment which connects them.

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Section: Introductionmentioning

confidence: 99%

Controlling superfluid flows using dissipative impurities

et al. 2023

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“…From a more general standpoint the dynamics of dark solitons in BECs has been widely investigated over the recent past [21][22][23], and several aspects of their stability have been explored. The unequivocal evidence from these studies is the higher stability of dark solitons, be it within the framework of scatterings of two BECs or of a single BEC interacting with defects or impurities [24][25][26][27][28]. Macroscopic quantum phenomena in BECs have equally been explored in the contexts of BECs confined in a potential.…”

Section: Introductionmentioning

confidence: 99%

Using dark solitons from a Bose–Einstein condensate necklace to imprint soliton states in the spectral memory of a free boson gas

Dikandé

2023

New J. Phys.

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A possible use of matter-wave dark-soliton crystal produced by a Bose-Einstein condensate with ring geometry, to store soliton states in the quantum memory of a free boson gas, is explored. A self-defocusing nonlinearity combined with dispersion and the ﬁnite size of the Bose-Einstein condensate, favor the creation of dark-soliton crystals that imprint quantum states with Jacobi elliptic-type soliton wavefunctions in the spectrum of the free boson gas. The problem is formulated by considering the Gross-Pitaevskii equation with a positive scattering length, coupled to a linear Schrödinger equation for the free boson gas. With the help of the matter-wave dark soliton-crystal solution, the spectrum of bound states created in the free boson gas is shown to be determined by the Lamé eigenvalue problem. This spectrum consists of |ν, L〉 quantum states whose wave functions and energy eigenvalues can be unambiguously identiﬁed. Among these eigenstates some have their wave functions that are replicas of the generating dark soliton crystal.

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“…transmission lines [5], microwave magnetic thin films [6,7], acoustic waveguides of Helmholtz resonators [8], surface water waves [9], nematic liquid crystals [10], and BECs with dissipation [11] among others [12,13]. Outside of these closed systems, solitonic waves are even present in media balancing gain and loss, such as polariton fluids in semiconductor microcavities [14].…”

Section: Introductionmentioning

confidence: 99%

Dynamical instability of 3D stationary and traveling planar dark solitons

Mithun

Fritsch

Spielman

et al. 2022

J. Phys.: Condens. Matter

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Here we revisit the topic of stationary and propagating solitonic excitations in self-repulsive three-dimensional Bose-Einstein condensates by quantitatively comparing theoretical analysis and associated numerical computations with our experimental results. Using fully 3d numerical simulations, we explore the existence, stability, and evolution dynamics of planar dark solitons, as well as their instability-induced decay products including solitonic vortices and vortex rings. In the trapped case and with no adjustable parameters, our numerical findings are in correspondence with experimentally observed coherent structures. Without a longitudinal trap, we identify numerically exact traveling solutions and quantify how their transverse destabilization threshold changes as a function of the solitary wave speed.

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Stability analysis and attractor dynamics of three-dimensional dark solitons with localized dissipation

Cited by 8 publications

References 28 publications

Controlling superfluid flows using dissipative impurities

Controlling superfluid flows using dissipative impurities

Using dark solitons from a Bose–Einstein condensate necklace to imprint soliton states in the spectral memory of a free boson gas

Dynamical instability of 3D stationary and traveling planar dark solitons

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