Bulletin of the American Physical Society
49th Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics APS Meeting
Volume 63, Number 5
Monday–Friday, May 28–June 1 2018; Ft. Lauderdale, Florida
Session S04: Few Body Physics |
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Chair: Francis Robicheaux, Purdue University Room: Grand C |
Thursday, May 31, 2018 2:00PM - 2:12PM |
S04.00001: Fate of the three-boson Efimov spectrum in the presence of one-dimensional spin-orbit coupling Qingze Guan, Doerte Blume Spin-orbit coupled cold atom systems have attracted a great deal of attention recently since they provide an alternative route for realizing topological insulators and spintronics physics. The present work focuses on quantitatively and qualitatively novel few-body features of the experimentally most commonly realized 1D spin-orbit coupling in cold atom systems. In the absence of spin-orbit coupling, the three-boson system exhibits the Efimov effect: the entire energy spectrum is uniquely determined by the two-body $s$-wave scattering length and a single three-body parameter, and the critical scattering lengths at which the Efimov trimers merge respectively with the three-atom and atom-dimer thresholds serve as sensitive measures of the underlying discrete scale invariance. It is shown that the presence of the 1D spin-orbit coupling leads to significant changes of the Efimov spectrum. The critical scattering lengths are, due to the unique coupling between the relative and center-of-mass degrees of freedom, turned into scattering length windows. These scattering length windows should be observable experimentally, providing a clear few-body signature of the unusual characteristics of spin-orbit coupled systems such as the breaking of Galilean invariance. [Preview Abstract] |
Thursday, May 31, 2018 2:12PM - 2:24PM |
S04.00002: Multi-scatterer potentials: application to Rydberg trimers and tetramers Robin Cote, Jovica Stanojevic We present a Green's function method to calculate the eigenenergies of a Rydberg atom interacting with several ground-state atoms (scatterers). This method yields numerically exact Rydberg bound-state energies (i.e molecular potentials) if the range of electron-scatterer interactions can be set to zero. This is essentially a multi-scattering problem, and to solve it, one has to find all scattering amplitudes associated with the scattering of the Rydberg electron from all scatterers. These scattering amplitudes are not independent and their linear relationships are expressed by a matrix $\hat A$. The bound-state energies (i.e molecular potentials) correspond to the zeros of ${\rm det}(\hat A)$. We apply this method to the case of two and three scatterers, and explore the properties of Rydberg trimers and tetramers. [Preview Abstract] |
Thursday, May 31, 2018 2:24PM - 2:36PM |
S04.00003: Van der Waals repulsive peaks in four bodies. Jianing Han Van der Waals interactions can be used to create molecules. Recently, it is observed that van der Waals interactions can be repulsive. In this presentation, The repulsive peaks within four-body van der Waals coupled states will be investigated. Specifically, nsnsns(n$+$9)s will be studied. The principle quantum number n dependence will be presented. It is shown that the peak size increases as the energy difference between two coupled states increases. [Preview Abstract] |
Thursday, May 31, 2018 2:36PM - 2:48PM |
S04.00004: Harmonically Trapped Four-Boson System D. Blume, M. W. C. Sze, J. L. Bohn Four identical spinless bosons with purely attractive two-body short-range interactions and repulsive three-body interactions under external spherically symmetric harmonic confinement are considered. The repulsive three-body potential prevents the formation of deeply-bound states with molecular character. The low-energy spectrum with vanishing orbital angular momentum and positive parity for infinitely large two-body s-wave scattering length is analyzed in detail. Using the three-body contact, states are classified as universal, weakly non-universal, or strongly non-universal. Connections with the zero-range interaction model are discussed. The energy spectrum is mapped out as a function of the positive two-body s-wave scattering length. In the weakly- to medium-strongly-interacting regime, one of the states approaches the energy obtained for a hard core interaction model. This state is identified as the energetically lowest-lying "BEC state". Structural properties are also presented. [Preview Abstract] |
Thursday, May 31, 2018 2:48PM - 3:00PM |
S04.00005: Observation of an angular class of triatomic Cs Rydberg molecules Christian Fey, Peter Schmelcher, Hossein R. Sadeghpour, Seth T. Rittenhouse, Jin Yang, Fabian Munkes, Margarita Baluktsian, James P. Shaffer Ultralong-range Rydberg molecules are bound states between a Rydberg atom and one or more ground state atoms. Effectively, the Rydberg electron cloud can be viewed as an oscillatory trapping potential for the ground state atoms [1,2,3]. In our talk we focus on Cs trimers asymptotically correlating to a $nd$ Rydberg atom and two $6s$ ground state atoms. In this case, the intrinsic anisotropy of the Rydberg wave function allows for the formation of angular potential energy curves which support bound molecular states in linear configurations but also ``right triangle''-configurations. By perfoming electronic structure calculations including spin degrees of freedom we compute characteristic line shapes of those trimers and compare them to experimental spectra. In contrast to previously observed polyatomic Rydberg molecules we find binding energies that are not integer multiples of the dimer energies [4]. [1] Greene, Dickinson, Sadeghpour, PRL 85, 2458 (2000). [2] Bendkowsky, Butscher, Nipper, Shaffer, L\"ow, Pfau, Nature 458, 1005 (2009). [3] Fey, Kurz, Schmelcher, PRA 94, 012516 (2016). [4] Gaj, Krupp, Balewski, L\"ow, Hofferberth, Pfau, Nat. Commun. 5, 4546 (2014). [Preview Abstract] |
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