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TT: Fachverband Tiefe Temperaturen

TT 69: Nonequilibrium Quantum Systems II (joint session TT/DY)

TT 69.11: Talk

Thursday, March 21, 2024, 12:15–12:30, H 3025

Deconfinement Dynamics of Fractons in Tilted Bose-Hubbard Chains — •Julian Boesl1,2, Philip Zechmann1,2, Johannes Feldmeier3, and Michael Knap1,21Technical 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

Fractonic constraints can lead to exotic properties of quantum many-body systems. Here, we investigate the dynamics of fracton excitations on top of the ground states of a one-dimensional, dipole-conserving Bose- Hubbard model. We show that nearby fractons undergo a collective motion mediated by exchanging virtual dipole excitations, which provides a powerful dynamical tool to characterize the underlying ground state phases. We find that in the gapped Mott insulating phase, fractons are confined to each other as motion requires the exchange of massive dipoles. When crossing the phase transition into a gapless Luttinger liquid of dipoles, fractons deconfine. Their transient deconfinement dynamics scales diffusively and exhibits strong but subleading contributions described by a quantum Lifshitz model. We examine prospects for the experimental realization in tilted Bose-Hubbard chains by numerically simulating the adiabatic state preparation and subsequent time evolution, and find clear signatures of the low-energy fracton dynamics.

Keywords: Fractons; Cold Quantum Gases

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