Energy levels arising from resonant two-body forces in a three-body system

Efimov, V.N.

doi:10.1016/0370-2693(70)90349-7

Cited by 1,463 publications

(1,938 citation statements)

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“…Note that one can study polarons with nonzero momentum by keeping all terms in Eq. (23) and allowing p to be finite. The effective polaron mass can then be analyzed as previously demonstrated [59].…”

Section: Discussionmentioning

confidence: 99%

Theory of excitation of Rydberg polarons in an atomic quantum gas

et al. 2018

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We present a quantum many-body description of the excitation spectrum of Rydberg polarons in a Bose gas. The many-body Hamiltonian is solved with a functional determinant approach, and we extend this technique to describe Rydberg polarons of finite mass. Mean-field and classical descriptions of the spectrum are derived as approximations of the many-body theory. The various approaches are applied to experimental observations of polarons created by excitation of Rydberg atoms in a strontium Bose-Einstein condensate.

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Section: Discussionmentioning

confidence: 99%

Theory of excitation of Rydberg polarons in an atomic quantum gas

et al. 2018

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“…The relation between g (2) and E (2) for a given N can be found analytically by exploiting of the separability of the interaction. We define…”

Section: A Matrix Elementsmentioning

confidence: 99%

“…The effective range parameters in terms of the effective coupling constant g (2) in the continuum case are (See Appendix C):…”

Section: Error Analysismentioning

confidence: 99%

Convergence properties of the effective theory for trapped bosons

Tölle¹,

Hammer²,

Metsch

2013

J. Phys. G: Nucl. Part. Phys.

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We investigate few-boson systems with resonant interactions in a narrow harmonic trap within an effective theory framework. The size of the model space is identified with the effective theory cutoff. In the universal regime, the interactions of the bosons can be approximated by contact interactions. We investigate the convergence properties of genuine and smeared contact interactions as the size of the model space is increased and present a detailed error analysis. The spectra for few-boson systems with up to 6 identical particles are calculated by combining extrapolations in the cutoff and in the smearing parameter.

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“…1 An important aspect, from the theoretical side, has been the design of many sophisticated non- physical effects, i.e., the adiabatic, relativistic, quantum electrodynamics, and retardation contributions. At the same time, experimental work managed to develop techniques able to get insight into the helium cluster structure.…”

Section: Introductionmentioning

confidence: 99%

Quantum Halo States in Helium Tetramers

2016

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Universality of quantum halo states enables comparison of systems from different fields of physics, as demonstrated in two-and three-body clusters. In the present work, we studied weakly-bound helium tetramers in order to test whether some of these four-body realistic systems qualify as halos. Their ground-state binding energies and structural properties were thoroughly estimated using the diffusion Monte Carlo method with pure estimators. Helium tetramer properties proved to be less sensitive on the potential model than previously evaluated trimer properties. We predict the existence of the realistic four-body halo 4 He 2 3 He 2 , while 4 He 4 and 4 He 3 3 He are close to the border and thus can be used as prototypes of quasi-halo systems. Our results could be tested by experimental determination of tetramers' structural properties, using a similar setup to the one developed for the study of helium trimers.

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Energy levels arising from resonant two-body forces in a three-body system

Cited by 1,463 publications

References 10 publications

Theory of excitation of Rydberg polarons in an atomic quantum gas

Theory of excitation of Rydberg polarons in an atomic quantum gas

Convergence properties of the effective theory for trapped bosons

Quantum Halo States in Helium Tetramers

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