Magic wavelengths for terahertz clock transitions

Zhou, Xiaoji; Xu, Xiaolong; Chen, Xuzong; Chen, Jingbiao

doi:10.1103/physreva.81.012115

Cited by 46 publications

(33 citation statements)

References 32 publications

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“…We assume there is a single ground state |J g = 0 ≡ |g , separated by an energy of E ge = ω 0 from three degenerate excited states |J e = 1, m J e = {0, ±1} , where m J is the projection quantum number of J, ω 0 is the atomic transition frequency, and the reduced Planck constant. Such a system could, for example, be realized in the triplet transitions of Sr [38,55] or Yb [56,57]. Arrays of singly occupied atomic lattices can be created, for example, in optical lattice Mott insulators (e.g.…”

Section: A Coupled Classical Dipolesmentioning

confidence: 99%

Cooperative eigenmodes and scattering in one-dimensional atomic arrays

2016

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Publisher's copyright statement:Reprinted with permission from the American Physical Society: Bettles, Robert J. and Gardiner, Simon A. and Adams, Charles S. (2016) 'Cooperative eigenmodes and scattering in one-dimensional atomic arrays.', Physical review A., 94 (4). 043844 c 2016 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. Collective coupling between dipoles can dramatically modify the optical response of a medium. Such effects depend strongly on the geometry of the medium and the polarization of the light. Using a classical coupled dipole model, here we investigate the simplest case of one-dimensional arrays of interacting atomic dipoles driven by a weak laser field. Changing the polarization and direction of the driving field allows us to separately address superradiant, subradiant, redshifted, and blueshifted eigenmodes, as well as observe strong Fano-like interferences between different modes. The cooperative eigenvectors can be characterized by the phase difference between nearest-neighbor dipoles, ranging from all oscillating in phase to all oscillating out of phase with their nearest neighbors. Investigating the eigenvalue behavior as a function of atom number and lattice spacing, we find that certain eigenmodes of an infinite atomic chain have the same decay rate as a single atom between two mirrors. The effects we observe provide a framework for collective control of the optical response of a medium, giving insight into the behavior of more complicated geometries, as well as providing further evidence for the dipolar analog of cavity QED.

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Section: A Coupled Classical Dipolesmentioning

confidence: 99%

Cooperative eigenmodes and scattering in one-dimensional atomic arrays

2016

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“…Their rich phase properties [31][32][33][34][35] and perspectives in, for instance, quantum simulations [36][37][38] have inspired extensive studies on dipolar quantum gases. Experiments can nowadays prepare dipolarly interacting particles in lattices, due to the rapid development of cooling atoms [39][40][41] with large magnetic dipole moments and polar molecules in optical lattices [42][43][44][45][46]. Specifically, the double-well superlattice has been realized in experiments, and has become a widely used testbed for various phenomena, such as correlated atomic tunneling [47], generation of entanglement of ultracold atoms [48] and the topological Thouless quantum pump [49].…”

Section: A Setupmentioning

confidence: 99%

Collective excitations of dipolar gases based on local tunneling in superlattices

et al. 2017

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The collective dynamics of a dipolar fermionic quantum gas confined in a one-dimensional doublewell superlattice is explored. The fermionic gas resides in a paramagnetic-like ground state in the weak interaction regime, upon which a new type of collective dynamics is found when applying a local perturbation. This dynamics is composed of the local tunneling of fermions in separate supercells, and is a pure quantum effect, with no classical counterpart. Due to the presence of the dipolar interactions the local tunneling transports through the entire superlattice, giving rise to a collective dynamics. A well-defined momentum-energy dispersion relation is identified in the ab-initio simulations demonstrating the phonon-like behavior. The phonon-like characteristic is also confirmed by an analytical description of the dynamics within a semiclassical picture. arXiv:1606.08358v4 [cond-mat.quant-gas]

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“…The shift arises in the second order of perturbation theory which is quadratic in the electric field strength. The calculations suggest the existence of magic wavelength both for optical-clock transitions [8,9] and terahertz-clock transitions [10]. * Corresponding author.…”

Section: Introductionmentioning

confidence: 97%

A simplified method for calculating the ac Stark shift of hyperfine levels of alkali-metal atoms

Qing

Chen

et al. 2015

Physics Letters A

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The ac Stark shift of hyperfine levels of neutral atoms can be calculated using the third order perturbation theory (TOPT), where the third order corrections are quadratic in the atom-photon interaction and linear in the hyperfine interaction. In this paper, we use Green's function to derive the E [2+ ] method which can give close values to those of TOPT for the differential light shift between two hyperfine levels. It comes with a simple form and easy incorporation of theoretical and experimental atomic structure data. Furthermore, we analyze the order of approximation and give the condition under which E [2+ ] method is valid.

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Magic wavelengths for terahertz clock transitions

Cited by 46 publications

References 32 publications

Cooperative eigenmodes and scattering in one-dimensional atomic arrays

Cooperative eigenmodes and scattering in one-dimensional atomic arrays

Collective excitations of dipolar gases based on local tunneling in superlattices

A simplified method for calculating the ac Stark shift of hyperfine levels of alkali-metal atoms

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