Interaction of a Bose–Einstein condensate and a superconductor via eddy currents

Sapina, Igor; Dahm, Thomas

doi:10.1088/1367-2630/15/7/073035

Cited by 6 publications

(14 citation statements)

References 44 publications

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“…In addition, we study different polarization directions of the condensate and find another characteristic feature which can be used to experimentally identify the eddy current effect. In addition to the resonant excitation of the breather mode, on which we reported in [34], we find the resonant excitation of a different collective mode, which did not appear in our previously used effective model.…”

Section: Introductionsupporting

confidence: 46%

“…We will discuss the corrections for ε D = 0 below. In [34] we presented a similar value for the case that the dipoles are oriented in the z-direction…”

Section: Frequency Shift For a Different Polarization Of The Bosmentioning

confidence: 82%

“…In ref. [34], where we followed the approach of Antezza et al [36], we have used a simple column density model for the BEC to calculate the frequency shift. This model had the advantage that we were able to get some analytical results for the shift.…”

Section: B Numerical Results For the Center-of-mass Frequency Shiftmentioning

confidence: 99%

“…Next we need to include the interaction with the superconducting surface. As described in [34] the magnetic interaction with an infinitely extended superconducting surface can be modeled by the interaction of the BEC with its magnetic mirror, as is depicted in Fig. 1.…”

Section: Numerical Solution Of the Gross-pitaevskii Equation For mentioning

confidence: 99%

“…Given that the semi-axis λ z is known, the expression can be evaluated completely analytically and we obtain the resulting frequency shift with the method already discussed. Here we only give the necessary expressions to calculate the frequency shift, this model is explained in more detail in [34]. (27) with the column density n 1D (z) = 15 16…”

Section: Frequency Shift For a Different Polarization Of The Bosmentioning

confidence: 99%

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Dynamics of a dipolar Bose-Einstein condensate in the vicinity of a superconductor

Sapina

Dahm

2014

Phys. Rev. A

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We study the dynamics of a dipolar Bose-Einstein condensate, like for example a 52 Cr or 164 Dy condensate, interacting with a superconducting surface. The magnetic dipole moments of the atoms in the Bose-Einstein condensate induce eddy currents in the superconductor. The magnetic field generated by eddy currents modifies the trapping potential such that the center-of-mass oscillation frequency is shifted. We numerically solve the Gross-Pitaevskii equation for this system and compare the results with analytical approximations. We present an approximation that gives excellent agreement with the numerical results. The eddy currents give rise to anharmonic terms, which leads to the excitation of shape fluctuations of the condensate. We discuss how the strength of the excitation of such modes can be increased by exploiting resonances, and we examine the strength of the resonances as a function of the center-of-mass oscillation amplitude of the condensate. Finally, we study different orientations of the magnetic dipoles and discuss favorable conditions for the experimental observation of the eddy current effect.

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Section: Introductionsupporting

confidence: 46%

“…We will discuss the corrections for ε D = 0 below. In [34] we presented a similar value for the case that the dipoles are oriented in the z-direction…”

Section: Frequency Shift For a Different Polarization Of The Bosmentioning

confidence: 82%

Section: B Numerical Results For the Center-of-mass Frequency Shiftmentioning

confidence: 99%

Section: Numerical Solution Of the Gross-pitaevskii Equation For mentioning

confidence: 99%

Section: Frequency Shift For a Different Polarization Of The Bosmentioning

confidence: 99%

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Dynamics of a dipolar Bose-Einstein condensate in the vicinity of a superconductor

Sapina

Dahm

2014

Phys. Rev. A

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Weakly bound solitons and two-soliton molecules in dipolar Bose–Einstein condensates

Baizakov

Al-Marzoug

Khawaja

et al. 2019

J. Phys. B: At. Mol. Opt. Phys.

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Analytic expressions have been derived for the interaction potential between dipolar bright solitons and the binding energy of a two-soliton molecule. The properties of these localized structures are explored with a focus on their behavior in the weakly bound regime, with a small binding energy. Using the variational approach a coupled system of ordinary differential equations for the parameters of a soliton molecule is obtained for the description of their evolution. Predictions of the model are compared with numerical simulations of the governing nonlocal Gross-Pitaevskii equation and good qualitative agreement between them is demonstrated.

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SDSS1133: an unusually persistent transient in a nearby dwarf galaxy

Koss¹,

Blecha²,

Mushotzky³

et al. 2014

Monthly Notices of the Royal Astronomical Society

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While performing a survey to detect recoiling supermassive black holes, we have identified an unusual source having a projected offset of 800 pc from a nearby dwarf galaxy. The object, SDSS J113323.97+550415.8, exhibits broad emission lines and strong variability. While originally classified as a supernova (SN) because of its nondetection in 2005, we detect it in recent and past observations over 63 yr and find over a magnitude of rebrightening in the last 2 years. Using high-resolution adaptive optics observations, we constrain the source emission region to be 12 pc and find a disturbed host-galaxy morphology indicative of recent merger activity. Observations taken over more than a decade show narrow [O III] lines, constant ultraviolet emission, broad Balmer lines, a constant putative black hole mass over a decade of observations despite changes in the continuum, and optical emission-line diagnostics consistent with an active galactic nucleus (AGN). However, the optical spectra exhibit blueshifted absorption, and eventually narrow Fe II and [Ca II] emission, each of which is rarely found in AGN spectra. While this peculiar source displays many of the observational properties expected of a potential black hole recoil candidate, some of the properties could also be explained by a luminous blue variable star (LBV) erupting for decades since 1950, followed by a Type IIn SN in 2001. Interpreted as an LBV followed by a SN analogous to SN 2009ip, the multi-decade LBV eruptions would be the longest ever observed, and the broad Hα emission would be the most luminous ever observed at late times (> 10 yr), larger than that of unusually luminous supernovae such as SN 1988Z, suggesting one of the most extreme episodes of pre-SN mass loss ever discovered.

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Interaction of a Bose–Einstein condensate and a superconductor via eddy currents

Cited by 6 publications

References 44 publications

Dynamics of a dipolar Bose-Einstein condensate in the vicinity of a superconductor

Dynamics of a dipolar Bose-Einstein condensate in the vicinity of a superconductor

Weakly bound solitons and two-soliton molecules in dipolar Bose–Einstein condensates

SDSS1133: an unusually persistent transient in a nearby dwarf galaxy

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