Hubbard Model for Atomic Impurities Bound by the Vortex Lattice of a Rotating Bose-Einstein Condensate

Johnson, T. H.; Yongjun, Yuan; Bao, Weizhu; Clark, Stephen R. L.; Foot, C. J.; Jaksch, Dieter

doi:10.1103/physrevlett.116.240402

Cited by 20 publications

(16 citation statements)

References 73 publications

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“…The inherent smoothness of dressed potentials generated from macroscopic coils is ideally suited for mechanical rotation experiments, and for species where the mass differs by only a few percent the centrifugal separation of the mixture is minimal. This could be used to realize impurities bound to the vortex cores of a rotating condensate [61].…”

Section: Discussionmentioning

confidence: 99%

Species-selective confinement of atoms dressed with multiple radiofrequencies

Bentine

Harte

Luksch

et al. 2017

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

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Abstract.Methods to manipulate the individual constituents of an ultracold quantum gas mixture are essential tools for a number of applications, for example the direct quantum simulation of impurity physics. We investigate a scheme in which species-selective control is achieved using magnetic potentials dressed with multiple radiofrequencies, exploiting the different Landé g F -factors of the constituent atomic species. We describe a mixture dressed with two frequencies, where atoms are confined in harmonic potentials with a controllable degree of overlap between the two atomic species. This is then extended to a four radiofrequency scheme in which a double well potential for one species is overlaid with a single well for the other. The discussion is framed with parameters that are suitable for a 85 Rb and 87 Rb mixture, but is readily generalised to other combinations.arXiv:1701.05819v1 [cond-mat.quant-gas]

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Section: Discussionmentioning

confidence: 99%

Species-selective confinement of atoms dressed with multiple radiofrequencies

Bentine

Harte

Luksch

et al. 2017

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

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“…A Bose-Einstein condensate (BEC) doped with impurities [33][34][35][36][37][38][39] provides an ideal platform for the study of micromicro and micro-macro entanglement where microscopic impurities meets a macroscopic matter, the BEC. As the interaction among Rydberg impurity atoms [40][41][42][43][44][45] can be tailored by electric fields and microwave fields [46,47] while the BEC allows for an extremely precise control of interatomic interactions by manipulating s-wave scattering length [48,49], they can build a precisely controllable micro-macro quantum systems [50].…”

Section: Introductionmentioning

confidence: 99%

Witnessing entanglement via the geometric phase in a impurity-doped Bose-Einstein condensate

Wu¹,

Jia²,

Cai³

et al. 2021

Preprint

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We propose a theoretical scheme to witness quantum entanglement via the geometric phase in an impuritydoped Bose-Einstein condensate (BEC), which is a micro-macro quantum system consisting of two Rydberg impurity qubits and the BEC. We calculate the geometric phase of the impurity qubits in the presence of the initial micro-micro and micro-macro entanglement, respectively. It is demonstrated that the geometric phase of the impurity qubits can witness not only inter-qubit micro-micro entanglement, but also qubit-BEC micromacro entanglement. Our work provide a new insight to witness micro-micro and micro-macro entanglement in a impurity-doped BEC.

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“…Lattice models, such as the Heisenberg or Hubbard models 5 , 6 have been extremely important for the understanding of strongly-correlated many-particle systems. Despite their simplicity, when employed appropriately, these models are able to capture phenomena sufficiently accurately: the Hubbard model has been shown to reproduce the Mott metal-insulator transition, and has been recently associated to the behaviour of ‘exotic’ systems such as inhomogeneous superfluidity in spin-imbalanced systems 7 , 8 , chains of Bose-Einstein condensates 9 , or entanglement in nanostructures 10 , 11 . However, when interactions and inhomogeneities are included, even these lattice models can rapidly become computationally intractable as the size of the systems increases.…”

Section: Introductionmentioning

confidence: 99%

Testing density-functional approximations on a lattice and the applicability of the related Hohenberg-Kohn-like theorem

França

Coe

D’Amico

2018

Sci Rep

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We present a metric-space approach to quantify the performance of approximations in lattice density-functional theory for interacting many-body systems and to explore the regimes where the Hohenberg-Kohn-type theorem on fermionic lattices is applicable. This theorem demonstrates the existence of one-to-one mappings between particle densities, wave functions and external potentials. We then focus on these quantities, and quantify how far apart in metric space the approximated and exact ones are. We apply our method to the one-dimensional Hubbard model for different types of external potentials, and assess the regimes where it is applicable to one of the most used approximations in density-functional theory, the local density approximation (LDA). We find that the potential distance may have a very different behaviour from the density and wave function distances, in some cases even providing the wrong assessments of the LDA performance trends. We attribute this to the systems reaching behaviours which are borderline for the applicability of the one-to-one correspondence between density and external potential. On the contrary the wave function and density distances behave similarly and are always sensitive to system variations. Our metric-based method correctly predicts the regimes where the LDA performs fairly well and the regimes where it fails. This suggests that our method could be a practical tool for testing the efficiency of density-functional approximations.

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Hubbard Model for Atomic Impurities Bound by the Vortex Lattice of a Rotating Bose-Einstein Condensate

Cited by 20 publications

References 73 publications

Species-selective confinement of atoms dressed with multiple radiofrequencies

Species-selective confinement of atoms dressed with multiple radiofrequencies

Witnessing entanglement via the geometric phase in a impurity-doped Bose-Einstein condensate

Testing density-functional approximations on a lattice and the applicability of the related Hohenberg-Kohn-like theorem

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