758 citations
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5 papers · 1 filter
Probing condensate order in deep optical lattices
Kuei Sun, Courtney Lannert, Smitha Vishveshwara
We study interacting bosons in optical lattices in the weak-tunneling regime in systems that exhibit the coexistence of Mott-insulating and condensed phases. We discuss the nature…
The pair potential of colloidal stars
F. Huang, K. Addas, A. Ward +5
We report on the construction of colloidal stars: 1 micrometer polystyrene beads grafted with a dense brush of 1 micrometer long and 10 nm wide semi-flexible filamentous viruses. T…
Formality of the little N-disks operad
Pascal Lambrechts, Ismar Volic
We develop the details of Kontsevich's proof of the formality of little N-disks operad over the field of real numbers. Formality holds in the category of operads of chain complexes…
Real Homotopy Theory of Semi-Algebraic Sets
Robert Hardt, Pascal Lambrechts, Victor Tourtchine +1
We complete the details of a theory outlined by Kontsevich and Soibelman that associates to a semi-algebraic set a certain graded commutative differential algebra of "semi-algebrai…
Josephson physics mediated by the Mott insulating phase
Smitha Vishveshwara, Courtney Lannert
We investigate the static and dynamic properties of bosonic lattice systems in which condensed and Mott insulating phases co-exist due to the presence of a spatially-varying potent…