Effective many-body parameters for atoms in nonseparable Gaussian optical potentials

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dc.citation.firstpage13610
dc.citation.issueNumber1
dc.citation.journalTitlePhysical Review A
dc.citation.volumeNumber92
dc.contributor.authorWall, Michael L.
dc.contributor.authorHazzard, Kaden R.A.
dc.contributor.authorRey, Ana Maria
dc.contributor.orgRice Center for Quantum Materials
dc.date.accessioned2016-06-23T16:02:12Z
dc.date.available2016-06-23T16:02:12Z
dc.date.issued2015
dc.description.abstractWe analyze the properties of particles trapped in three-dimensional potentials formed from superimposed Gaussian beams, fully taking into account effects of potential anharmonicity and nonseparability. Although these effects are negligible in more conventional optical lattice experiments, they are essential for emerging ultracold-atom developments. We focus in particular on two potentials utilized in current ultracold-atom experiments: arrays of tightly focused optical tweezers and a one-dimensional optical lattice with transverse Gaussian confinement and highly excited transverse modes. Our main numerical tools are discrete variable representations (DVRs), which combine many favorable features of spectral and grid-based methods, such as the computational advantage of exponential convergence and the convenience of an analytical representation of Hamiltonian matrix elements. Optimizations, such as symmetry adaptations and variational methods built on top of DVR methods, are presented and their convergence properties discussed. We also present a quantitative analysis of the degree of nonseparability of eigenstates, borrowing ideas from the theory of matrix product states, leading to both conceptual and computational gains. Beyond developing numerical methodologies, we present results for construction of optimally localized Wannier functions and tunneling and interaction matrix elements in optical lattices and tweezers relevant for constructing effective models for many-body physics.
dc.identifier.citationWall, Michael L., Hazzard, Kaden R.A. and Rey, Ana Maria. "Effective many-body parameters for atoms in nonseparable Gaussian optical potentials." <i>Physical Review A,</i> 92, no. 1 (2015) American Physical Society: 013610. http://dx.doi.org/10.1103/PhysRevA.92.013610.
dc.identifier.doihttp://dx.doi.org/10.1103/PhysRevA.92.013610
dc.identifier.urihttps://hdl.handle.net/1911/90550
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
dc.titleEffective many-body parameters for atoms in nonseparable Gaussian optical potentials
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpublisher version
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