Long-range interactions between alkali Rydberg atom pairs correlated to thens–ns,np–np andnd–nd asymptotes

Singer, Kilian; Stanojevic, Jovica; Weidemüller, Matthias; Côté, Robin

doi:10.1088/0953-4075/38/2/021

Cited by 300 publications

(307 citation statements)

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“…Recently, there has been considerable interest in the study of helium dimers and ultracold helium collisions associated with metastable helium atoms [1,2,3,4,5,6,7,8,9,10,11].…”

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confidence: 99%

Long-range interactions between aHe(2S3)atom and a

et al. 2006

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Long-range interactions between a He(2 3 S) atom and a He(2 3 P ) atom for like isotopes AbstractFor the interactions between a He(2 3 S) atom and a He(2 3 P ) atom for like isotopes, we report perturbation theoretic calculations using accurate variational wave functions in Hylleraas coordinates of the coefficients determining the potential energies at large internuclear separations. We evaluate the coefficient C 3 of the first order resonant dipole-dipole energy and the van der Waals coefficients C 6 , C 8 , and C 10 for the second order energies arising from the mutual perturbations of instantaneous electric dipole, quadrupole, and octupole interactions. We also evaluate the coefficient C 9 of the leading contribution to the third order energy. We establish definitive values including treatment of the finite nuclear mass for the 3 He(2 3 S)-3 He(2 3 P ) and 4 He(2 3 S)-4 He(2 3 P ) interactions.

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“…Recently, there has been considerable interest in the study of helium dimers and ultracold helium collisions associated with metastable helium atoms [1,2,3,4,5,6,7,8,9,10,11].…”

mentioning

confidence: 99%

Long-range interactions between aHe(2S3)atom and a

et al. 2006

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“…Without the mixing between the triplet and singlet series, the avoided crossing would not exist. While this Förster defect (522 MHz) is not small compared to that found in alkali atoms [49][50][51], the key point here is that it is much smaller than the defect for the dipole-allowed pair states (8.84 GHz). As a result, the interaction between the spin-forbidden pair states is stronger than could be expected in view of the smallness of the singlet-triplet mixing in these Rydberg states.…”

Section: Multichannel Dipole-dipole Interactionsmentioning

confidence: 51%

Intercombination effects in resonant energy transfer

2015

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. (2015) 'Intercombination e ects in resonant energy transfer. ', Physical review A., 92 (4). 042705.Further information on publisher's website:http://dx.doi.org/10.1103/PhysRevA.92.042705Publisher's copyright statement:Reprinted with permission from the American Physical Society: Physical Review A 92, 042705 c (2015) by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modi ed, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.Additional information: Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro t purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. We investigate the effect of intercombination transitions in excitation hopping processes such as those found in Förster resonance energy transfer. Taking strontium Rydberg states as our model system, the breakdown of LS coupling leads to weakly allowed transitions between Rydberg states of different spin quantum number. We show that the long-range interactions between two Rydberg atoms can be affected by these weakly allowed spin transitions, and the effect is greatest when there is a near degeneracy between the initial state and a state with a different spin quantum number. We also consider a case of four atoms in a spin chain and show that a spin impurity can resonantly hop along the chain. By engineering the many-body energy levels of the spin chain, the breakdown of LS coupling due to interelectronic effects in individual atoms can be mapped onto a spatial separation of the total spin and the total orbital angular momentum along the spin chain.

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“…Note that this process is not hampered by the dipole blockade since the van der Waals shifts are small for the considered lattice constants a. For example, for Rubidium ns states with n = 70 and a = 20 µm, the van der Waals shift is ∆ vdW ≈ 13 kHz [58], which is small compared with the Rabi frequency of the lasers exciting the Rydberg state [42]. The time interval T where excitation hopping can take place is limited by the lifetime of the Rydberg states and the residual atomic motion.…”

Section: Resultsmentioning

confidence: 93%

Topological spin models in Rydberg lattices

2017

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control and observe atoms with single-site resolution [7][8][9][10][11][12] which makes dynamical phenomena experimentally accessible in these systems. One promising perspective is to use this set-up for investigating the rich physics of quantum magnetism [13][14][15] and strongly correlated spin systems that are extremely challenging to simulate on a classical computer. However, the simulation of magnetic phenomena with cold atoms faces two key challenges. First, neutral atoms do not experience a Lorentz force in an external magnetic field. In order to circumvent this problem, tremendous effort has been made to create artificial gauge fields for neutral atoms [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32]. For example, artificial magnetic fields allow one to investigate the integer [33] and fractional quantum Hall effects [27][28][29] with cold atoms, and the experimental realization of the topological Haldane model was achieved in Ref. [30]. Second, cold atoms typically interact via weak contact interactions. Spin systems with strong and long-range interactions can be achieved by admixing van der Waals interactions between Rydberg states [34,35] or by replacing atoms with dipoledipole interacting polar molecules [36][37][38]. In particular, it has been shown that the dipole-dipole interaction can give rise to topological flat bands [39,40] and fractional Chern insulators [41]. The creation of bands with Chern number C = 2 via resonant exchange interactions between polar molecules has been explored in Ref. [40].Recently, an alternative and very promising platform for the simulation of strongly correlated spin systems has emerged [42]. Here resonant dipole-dipole interactions between Rydberg atoms [43] enable quantum simulations of spin systems at completely different length scales compared with polar molecules. For example, the experiment in Ref. [42] demonstrated the realization of the XY Hamiltonian for a chain of atoms and with a lattice spacing of the order of 20 µm. At these length scales, light modulators Abstract We show that resonant dipole-dipole interactions between Rydberg atoms in a triangular lattice can give rise to artificial magnetic fields for spin excitations. We consider the coherent dipole-dipole coupling between np and ns Rydberg states and derive an effective spin-1/2 Hamiltonian for the np excitations. By breaking time-reversal symmetry via external fields, we engineer complex hopping amplitudes for transitions between two rectangular sublattices. The phase of these hopping amplitudes depends on the direction of the hop. This gives rise to a staggered, artificial magnetic field which induces non-trivial topological effects. We calculate the single-particle band structure and investigate its Chern numbers as a function of the lattice parameters and the detuning between the two sub-lattices. We identify extended parameter regimes where the Chern number of the lowest band is C = 1 or C = 2.

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Long-range interactions between alkali Rydberg atom pairs correlated to thens–ns,np–np andnd–nd asymptotes

Cited by 300 publications

References 20 publications

Long-range interactions between aHe(2S3)atom and a

Long-range interactions between aHe(2S3)atom and a

Intercombination effects in resonant energy transfer

Topological spin models in Rydberg lattices

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