2013/10/09 by Murad Tovmasyan, Evert van Nieuwenburg, Sebastian Huber +1 · 91 citations
Mathematics · Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Commensurability (mathematics) #Condensation #Condensed matter physics #Density matrix renormalization group #Geometry #Lattice (music) #Mathematics #Molecular physics #Phase (matter) #Phase diagram #Physics #Quantum many-body systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Quasicrystal #Renormalization group #Supersolid #Thermodynamics #Valence bond theory #cond-mat.quant-gas #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.88.220510
published in Physical Review B 88(22) (American Physical Society) · 4+ pages
arxiv created 2013/10/09 · openalex publication_date 2013/12/26 · arxiv updated 2014/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study a one-dimensional model of interacting bosons on a lattice with two flat bands. Regular condensation is suppressed due to the absence of a well-defined minimum in the single-particle spectrum. We find that interactions stabilize a number of nontrivial phases such as a pair (quasi)condensate, a supersolid at incommensurable fillings, and valence bond crystals at commensurability. We support our analytical calculations with numerical simulations using the density matrix renormalization group technique. Implications for cold atoms are discussed.