Bulletin of the American Physical Society
54th Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics
Volume 68, Number 7
Monday–Friday, June 5–9, 2023; Spokane, Washington
Session M08: Quantum Gases in Reduced Dimensions
2:00 PM–3:48 PM,
Wednesday, June 7, 2023
Room: 206 C
Chair: David Weiss, Penn State University
Abstract: M08.00006 : Confinement in a mixed-dimensional XXZ model*
3:00 PM–3:12 PM
Presenter:
Matjaz Kebric
(LMU München)
Authors:
Matjaz Kebric
(LMU München)
Ulrich Schollwöck
(LMU München)
Annabelle Bohrdt
(Harvard University and ITAMP)
Fabian Grusdt
(LMU München)
Furthermore, we study the mixed-dimensional spin model in the context of a Z2 lattice gauge theory (LGT), which is known to exhibit confinement of dynamical charges. We find a mapping between the spin model and a Z2 LGT by considering spinon excitations in the XXZ chains as hard-core bosons on a dual lattice. The mapping exhibits the so-called Gauss law, that can be used to connect particle pairs with Z2 strings. Such string picture simplifies the notion of confinement in the pure Z2 LGT. However, the resulting Z2 LGT model explicitly breaks the U(1) charge conservation, which again complicates the study of confinement with the usual condensed matter techniques. As a result we propose to probe the confinement by considering histograms of Z2 string and anti-string lengths, which we obtain from snapshots sampled from matrix product states. This is a tractable method to experimentally probe confinement since snapshots are readily available in cold atom experiments.
*This research was funded by the Deutsche Forschungs- gemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy – EXC-2111 – 390814868 and via Research Unit FOR 2414 under project number 277974659, and received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programm (Grant Agreement no 948141) — ERC Starting Grant SimUcQuam.
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