Resonances in ultracold dipolar atomic and molecular gases

Schulz, B.; Sala, Simon; Sáenz, Alejandro

doi:10.1088/1367-2630/17/6/065002

Cited by 7 publications

(46 citation statements)

References 48 publications

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“…[14]. Thee ffect of the anharmonicity for two interacting dipolar particlesi nasingle-well potential was discussed in ref.…”

Section: Resultsmentioning

confidence: 99%

“…[32,33].T his approach has been extendedf or treating particles that interact with an additional anisotropic DDI. [14]. [14].…”

Section: Methodsmentioning

confidence: 99%

“…As an ext step beyondt he single-well potentiali nvestigated earlier, [14] we consider ad ouble-well potential. As an ext step beyondt he single-well potentiali nvestigated earlier, [14] we consider ad ouble-well potential.…”

Section: Hamiltonianmentioning

confidence: 99%

“…[14] it was found that besidese arlier discussed dipole-induced resonances [15][16][17][18][19][20][21][22] also inelastic confinement-induced dipolar resonances occur as ar esult of ac oupling of the relative-and center-of-mass motion,r equiring thus af ull six-dimensional treatment of the system.E arlier,t hose inelastic confinement-induced resonances had been found to be responsible for particlel osses, heating, and molcule formationi nu ltracold non-dipolar atomic gases. In ref.…”

Section: Introductionmentioning

confidence: 99%

“…In ref. [14] it is shownt hat in double-well potentials an ew type of dipolar resonances occurs. [23][24][25] Also the theoretical treatmento ft wo particles in double-well potentials requires an at least five-dimensional treatment if cylindrical symmetry isp reserved, and af ull six-dimensional treatment, if this symmetry is broken, for example, by an external field orienting the dipoles perpendicular to the axis connectingt he two wells.…”

Section: Introductionmentioning

confidence: 99%

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Tunnel‐induced Dipolar Resonances in a Double‐well Potential

Schulz

Sáenz

2016

ChemPhysChem

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A system of two dipolar particles that are confined in a double-well potential and interact via a realistic isotropic interaction potential is investigated as a protoype for ultracold atoms with a magnetic dipole moment or ultracold dipolar heteronuclear diatomic molecules in double-well traps or in optical lattices. The resulting energy spectrum is discussed as a function of the dipole-dipole interaction strength. The variation of the strength of the dipole-dipole interaction is found to lead to various resonance phenomena. Among those are the previously discussed inelastic confinement-induced resonances as well as the dipole-induced resonances. It is found that the double-well potential gives rise to a new type of resonances, tunnel-induced dipolar ones.

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“…[14]. Thee ffect of the anharmonicity for two interacting dipolar particlesi nasingle-well potential was discussed in ref.…”

Section: Resultsmentioning

confidence: 99%

“…[32,33].T his approach has been extendedf or treating particles that interact with an additional anisotropic DDI. [14]. [14].…”

Section: Methodsmentioning

confidence: 99%

Section: Hamiltonianmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Tunnel‐induced Dipolar Resonances in a Double‐well Potential

Schulz

Sáenz

2016

ChemPhysChem

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Dipolar confinement-induced molecular states in harmonic waveguides

Wang¹,

Giannakeas²,

Schmelcher³

2018

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

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Abstract. The bound states of two identical dipoles in a harmonic waveguide are investigated. In the regime of weak dipole-dipole interactions, the local frame transformation (LFT) method is applied to determine the spectrum of dipolar confinement-induced bound states analytically. The accuracy of the LFT approach is discussed by comparing the analytical results with the numerical ones based on a solution of the close-coupling equations. It is found that close to the threshold energy in the waveguide, the LFT method needs to include more partial wave states to obtain accurate bound state energies. As the binding energy increases, the LFT method using a single partial wave state becomes more accurate. We also compare the bound states in waveguides and in free space. For the bosonic case, the s-wave dominated bound state looks like a free-space state when its energy is below a certain value. For the fermionic case, the p-wave dominated bound state energies in waveguides and in free-space coincide even close to zero energy.

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Characterization of the energy level-structure of a trapped dipolar Bose gas via mean-field parametric resonances

Sakhel¹,

Sakhel²

2021

Phys. Scr.

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Analyzing the energy levels of a trapped Bose-Einstein condensate (BEC) can be difficult when dipoledipole interactions (DDIs) are present. To address this issue, this study focuses on the parametric resonances (PRs) in the mean-field dynamics of a one-dimensional dipolar BEC (DBEC) over widely varying trapping geometries, with the primary objective of characterizing the energy levels of this system via analytical methods. This is achieved by matching the PR energies to the energy levels of the confining trap using perturbative methods. Further, this research reveals the role of the interplay between DDIs and the trapping geometry in defining the energies and amplitudes of the PRs. The PRs are induced by a negative Gaussian potential with a depth that oscillates with respect to time; DDIs also play a role in this induction. The dynamics of this system are modeled using the time-dependent Gross-Pitaevskii equation (TDGPE), which is numerically solved via the Crank-Nicolson method. The PRs are discussed based on analytical methods. First, we show that PRs similar to the ones obtained from the TDGPE can be reproduced via the Lagrangian variational method. Second, the energies at which the PRs occur are closely matched with the energy levels of the corresponding trap, calculated using the time-independent perturbation theory. Third, the most probable transitions between the trap energy levels yielding PRs are determined based on the time-dependent perturbation theory. The primary contribution of this research is that the energy levels of a DBEC within a complex trapping potential could be characterized.

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Resonances in ultracold dipolar atomic and molecular gases

Cited by 7 publications

References 48 publications

Tunnel‐induced Dipolar Resonances in a Double‐well Potential

Tunnel‐induced Dipolar Resonances in a Double‐well Potential

Dipolar confinement-induced molecular states in harmonic waveguides

Characterization of the energy level-structure of a trapped dipolar Bose gas via mean-field parametric resonances

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