Two-Dimensional Momentum State Lattices

Building on the development of momentum state lattices (MSLs) over the past decade, we introduce a simple extension of this technique to higher dimensions. Based on the selective addressing of unique Bragg resonances in matter-wave systems, MSLs have enabled the realization of tight-binding models w...

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Main Authors: Shraddha Agrawal, Sai Naga Manoj Paladugu, Bryce Gadway
Format: Article
Language:English
Published: American Physical Society 2024-01-01
Series:PRX Quantum
Online Access:http://doi.org/10.1103/PRXQuantum.5.010310
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author Shraddha Agrawal
Sai Naga Manoj Paladugu
Bryce Gadway
author_facet Shraddha Agrawal
Sai Naga Manoj Paladugu
Bryce Gadway
author_sort Shraddha Agrawal
collection DOAJ
description Building on the development of momentum state lattices (MSLs) over the past decade, we introduce a simple extension of this technique to higher dimensions. Based on the selective addressing of unique Bragg resonances in matter-wave systems, MSLs have enabled the realization of tight-binding models with tunable disorder, gauge fields, non-Hermiticity, and other features. Here, we examine and outline an experimental approach to building scalable and tunable tight-binding models in two dimensions describing the laser-driven dynamics of atoms in momentum space. Using numerical simulations, we highlight some of the simplest models and types of phenomena this system is well suited to address, including flat-band models with kinetic frustration and flux lattices supporting topological boundary states. Finally, we discuss many of the direct extensions to this model, including the introduction of disorder and non-Hermiticity, which will enable the exploration of new transport and localization phenomena in higher dimensions.
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spelling doaj.art-145335131e8940d7832368f7066793052024-01-25T15:02:38ZengAmerican Physical SocietyPRX Quantum2691-33992024-01-015101031010.1103/PRXQuantum.5.010310Two-Dimensional Momentum State LatticesShraddha AgrawalSai Naga Manoj PaladuguBryce GadwayBuilding on the development of momentum state lattices (MSLs) over the past decade, we introduce a simple extension of this technique to higher dimensions. Based on the selective addressing of unique Bragg resonances in matter-wave systems, MSLs have enabled the realization of tight-binding models with tunable disorder, gauge fields, non-Hermiticity, and other features. Here, we examine and outline an experimental approach to building scalable and tunable tight-binding models in two dimensions describing the laser-driven dynamics of atoms in momentum space. Using numerical simulations, we highlight some of the simplest models and types of phenomena this system is well suited to address, including flat-band models with kinetic frustration and flux lattices supporting topological boundary states. Finally, we discuss many of the direct extensions to this model, including the introduction of disorder and non-Hermiticity, which will enable the exploration of new transport and localization phenomena in higher dimensions.http://doi.org/10.1103/PRXQuantum.5.010310
spellingShingle Shraddha Agrawal
Sai Naga Manoj Paladugu
Bryce Gadway
Two-Dimensional Momentum State Lattices
PRX Quantum
title Two-Dimensional Momentum State Lattices
title_full Two-Dimensional Momentum State Lattices
title_fullStr Two-Dimensional Momentum State Lattices
title_full_unstemmed Two-Dimensional Momentum State Lattices
title_short Two-Dimensional Momentum State Lattices
title_sort two dimensional momentum state lattices
url http://doi.org/10.1103/PRXQuantum.5.010310
work_keys_str_mv AT shraddhaagrawal twodimensionalmomentumstatelattices
AT sainagamanojpaladugu twodimensionalmomentumstatelattices
AT brycegadway twodimensionalmomentumstatelattices