SKM 2023 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 45: Correlated Electrons: 1D Theory
TT 45.9: Vortrag
Donnerstag, 30. März 2023, 11:45–12:00, HSZ 103
Fractonic Luttinger liquids and supersolids in a constrained Bose-Hubbard model — •Philip Zechmann1,2, Ehud Altman3, Michael Knap1,2, and Johannes Feldmeier1,2,4 — 1Department of Physics, Technical University of Munich, 85748 Garching, Germany — 2Munich Center for Quantum Science and Technology (MCQST), Schellingstr. 4, 80799 München, Germany — 3Department of Physics, University of California, Berkeley, CA 94720 — 4Department of Physics, Harvard University, Cambridge, MA 02138, USA
Quantum many-body systems with fracton constraints are widely conjectured to exhibit unconventional low-energy phases of matter. In this work, we demonstrate the existence of a variety of such exotic quantum phases in the ground states of a dipole-moment conserving Bose-Hubbard model in one dimension. For integer boson fillings, we perform a mapping of the system to a model of microscopic local dipoles, which are composites of fractons. We apply a combination of low-energy field theory and large-scale tensor network simulations to demonstrate the emergence of a novel dipole Luttinger liquid phase. At non-integer fillings our numerical approach shows an intriguing compressible state described by a quantum Lifshitz model in which charge density-wave order coexists with dipole long-range order and superfluidity - a 'dipole supersolid'. While this supersolid state may eventually be unstable against lattice effects in the thermodynamic limit, its numerical robustness is remarkable. We discuss potential experimental implications of our results.