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DY: Fachverband Dynamik und Statistische Physik
DY 38: Nonequilibrium Quantum Systems 2 (joint session TT/DY)
DY 38.10: Talk
Thursday, March 21, 2024, 12:00–12:15, H 3025
Dynamical Spectral Response of Fractonic Quantum Matter — •Philip Zechmann1,2, Julian Boesl1,2, Johannes Feldmeier3, and Michael Knap1,2 — 1Technical University of Munich, TUM School of Natural Sciences, Physics Department, 85748 Garching, Germany — 2Munich Center for Quantum Science and Technology (MCQST), Schellingstr. 4, 80799 München, Germany — 3Department of Physics, Harvard University, Cambridge, MA 02138, USA
Quantum many-body systems with fractonic excitations can realize fascinating phases of matter. Here, we study the low-energy excitations of a constrained Bose-Hubbard model in one dimension, which conserves the center of mass or, equivalently, the dipole moment in addition to the particle number. This model is known to realize fractonic phases, including a dipole Mott insulator, a dipole Luttinger liquid, and a metastable dipole supersolid. We use tensor network methods to compute spectral functions from the dynamical response of the system and verify predictions from low-energy field theories of the corresponding ground state phases. We demonstrate the existence of gapped excitations compatible with strong coupling results in a dipole Mott insulator, linear sound modes characteristic of a Luttinger liquid of dipoles, and soft quadratic modes at both zero and finite momenta in a supersolid state with charge density wave order and phase coherence at non-integer filling.
Keywords: Fractons; Cold Quantum Gases; Spectral Functions