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      Recursive computation of Greens functions for interacting particles in disordered lattices and binary trees

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          Abstract

          In this article, the method of computing Greens functions recursively for interacting particles has been extended to square lattices and binary trees. The method allows for performing calculations for large lattices. Approximations, which make the method more efficient while maintaining accuracy are described for computations of dynamics and correlations of interacting particles in disordered systems. Direct informations related to spectral weights for different initial preparations of interacting particles in real space can be obtained using this method for larger system sizes with less finite size effects.

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          A High Phase-Space-Density Gas of Polar Molecules

          A quantum gas of ultracold polar molecules, with long-range and anisotropic interactions, would not only enable explorations of a large class of many-body physics phenomena, but could also be used for quantum information processing. We report on the creation of an ultracold dense gas of 40K87Rb polar molecules. Using a single step of STIRAP (STImulated Raman Adiabatic Passage) via two-frequency laser irradiation, we coherently transfer extremely weakly bound KRb molecules to the rovibrational ground state of either the triplet or the singlet electronic ground molecular potential. The polar molecular gas has a peak density of 10^12 cm^-3, and an expansion-determined translational temperature of 350 nK. The polar molecules have a permanent electric dipole moment, which we measure via Stark spectroscopy to be 0.052(2) Debye for the triplet rovibrational ground state and 0.566(17) Debye for the singlet rovibrational ground state. (1 Debye= 3.336*10^-30 C m)
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            A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice

            Recent years have seen tremendous progress in creating complex atomic many-body quantum systems. One approach is to use macroscopic, effectively thermodynamic ensembles of ultracold atoms to create quantum gases and strongly correlated states of matter, and to analyze the bulk properties of the ensemble. The opposite approach is to build up microscopic quantum systems atom by atom - with complete control over all degrees of freedom. Until now, the macroscopic and microscopic strategies have been fairly disconnected. Here, we present a "quantum gas microscope" that bridges the two approaches, realizing a system where atoms of a macroscopic ensemble are detected individually and a complete set of degrees of freedom of each of them is determined through preparation and measurement. By implementing a high-resolution optical imaging system, single atoms are detected with near-unity fidelity on individual sites of a Hubbard regime optical lattice. The lattice itself is generated by projecting a holographic mask through the imaging system. It has an arbitrary geometry, chosen to support both strong tunnel coupling between lattice sites and strong on-site confinement. On one hand, this new approach can be used to directly detect strongly correlated states of matter. On the other hand, the quantum gas microscope opens the door for the addressing and read-out of large-scale quantum information systems with ultracold atoms.
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              Spatial quantum noise interferometry in expanding ultracold atom clouds

              In a pioneering experiment, Hanbury Brown and Twiss (HBT) demonstrated that noise correlations could be used to probe the properties of a (bosonic) particle source through quantum statistics; the effect relies on quantum interference between possible detection paths for two indistinguishable particles. HBT correlations -- together with their fermionic counterparts -- find numerous applications, ranging from quantum optics to nuclear and elementary particle physics. Spatial HBT interferometry has been suggested as a means to probe hidden order in strongly correlated phases of ultracold atoms. Here we report such a measurement on the Mott insulator phase of a rubidium Bose gas as it is released from an optical lattice trap. We show that strong periodic quantum correlations exist between density fluctuations in the expanding atom cloud. These spatial correlations reflect the underlying ordering in the lattice, and find a natural interpretation in terms of a multiple-wave HBT interference effect. The method should provide a useful tool for identifying complex quantum phases of ultracold bosonic and fermionic atoms.
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                Author and article information

                Journal
                03 August 2018
                Article
                1808.04898
                06bc03ba-ae74-42fb-b562-0e1342da82f9

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                physics.comp-ph

                Mathematical & Computational physics
                Mathematical & Computational physics

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