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dc.contributor.authorWall, Michael L.
Hazzard, Kaden R.A.
Rey, Ana Maria
dc.date.accessioned 2016-06-23T16:02:12Z
dc.date.available 2016-06-23T16:02:12Z
dc.date.issued 2015
dc.identifier.citation Wall, Michael L., Hazzard, Kaden R.A. and Rey, Ana Maria. "Effective many-body parameters for atoms in nonseparable Gaussian optical potentials." Physical Review A, 92, no. 1 (2015) American Physical Society: 013610. http://dx.doi.org/10.1103/PhysRevA.92.013610.
dc.identifier.urihttps://hdl.handle.net/1911/90550
dc.description.abstract We 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.language.iso eng
dc.publisher American Physical Society
dc.rights Article 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.title Effective many-body parameters for atoms in nonseparable Gaussian optical potentials
dc.type Journal article
dc.citation.journalTitle Physical Review A
dc.contributor.org Rice Center for Quantum Materials
dc.citation.volumeNumber 92
dc.citation.issueNumber 1
dc.type.dcmi Text
dc.identifier.doihttp://dx.doi.org/10.1103/PhysRevA.92.013610
dc.type.publication publisher version
dc.citation.firstpage 013610


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