Research project A04 – SFB 1227 DQ-mat – Leibniz University Hannover

Introduction

Within this project, we focus on two types of lattice models that may be simulated using dipolar gases, and in particular with polar molecules in optical lattices or tweezer arrays. On one hand, we focus on spin models, in which dipolar particles with two internal states are pinned at the lattice sites. We focus especially on out-of-equilibrium dipole-mediated spin models, studying dynamics and equilibration of one- and two-dimensional spin patterns, as well as the dynamics of spin patterns in the presence of positional and quenched disorder. On the other hand, we investigate the case in which polarised dipolar particles do tunnel to nearest neighbors. We are particularly interested on the creation of ground-state phases in experimentally-relevant finite-size scenarios, and on the effects induced by dipole-assisted hopping.

Results

Whereas in the first funding period we focused especially on the localisation properties of single spin excitations in spin models with dipolar (and more generally power-law) interactions, in the second funding period we moved initially to the more involved case of many spin excitations. We analysed the transition from an extended to a many-body localised regime as a function of on-site disorder (which may be realised in polar molecules using differential polarisabilities), and also as a function of the power of the interactions. By means of intensive numerical calculations we revealed an intriguing universality of the algebraic growth of entanglement entropy at the thermal-to-many-body localisation transition for different spin models, including those reachable using pinned polar molecules.

During the rest of the second funding period we focused our interest on the non-equilibrium physics of dipole-mediated extended Hubbard models, and in particular on the formation and dynamics of inter-site clusters and the realisation of non-ergodic many-body-localisation (MBL)-like dynamics in disorder-free systems.

Publications

Showing results 1 - 30 out of 30

Łącki M, Korbmacher H, Domínguez-Castro GA, Zakrzewski J, Santos L. Ground states of one-dimensional dipolar lattice bosons at unit filling. Physical Review B. 2024 Mar 4;109(12):125104. doi: 10.48550/arXiv.2311.14606, 10.1103/PhysRevB.109.125104

Wolf F, Heip JC, Zawierucha MJ, Shi C, Ospelkaus S, Schmidt PO. Prospect for precision quantum logic spectroscopy of vibrational overtone transitions in molecular oxygen ions. New Journal of Physics. 2024 Jan 16;26:013028. doi: 10.1088/1367-2630/ad1ad3, 10.1088/1367-2630/ad1ad3

Aramthottil AS, Łącki M, Santos L, Zakrzewski J. Role of interaction-induced tunneling in the dynamics of polar lattice bosons. Physical Review B. 2023 Mar 22;107(10):104305. doi: 10.48550/arXiv.2209.11644, 10.1103/PhysRevB.107.104305

Bilitewski T, Domínguez-Castro GA, Wellnitz D, Rey AM, Santos L. Tunable momentum pair creation of spin excitations in dipolar bilayers. Physical Review A. 2023 Jul 19;108(1):013313. doi: 10.48550/arXiv.2302.09059, 10.1103/PhysRevA.108.013313

Jamadagni A, Kazemi J, Weimer H. Learning of error statistics for the detection of quantum phases. Physical Review B. 2023 Feb 22;107(7):075146. doi: 10.48550/arXiv.2205.12966, 10.1103/PhysRevB.107.075146

Kazemi J, Weimer H. Driven-Dissipative Rydberg Blockade in Optical Lattices. Physical review letters. 2023 Apr 21;13(16):163601. Epub 2023 Apr 19. doi: 10.48550/arXiv.2209.00039, 10.1103/PhysRevLett.130.163601

Korbmacher H, Sierant P, Li W, Deng X, Zakrzewski J, Santos L. Lattice control of nonergodicity in a polar lattice gas. Physical Review A. 2023 Jan 5;107(1):013301. doi: 10.48550/arXiv.2207.06186, 10.1103/PhysRevA.107.013301

Korbmacher H, Domínguez-Castro GA, Li WH, Zakrzewski J, Santos L. Transversal effects on the ground state of hard-core dipolar bosons in one-dimensional optical lattices. Physical Review A. 2023 Jun 14;107(6):063307. doi: 10.48550/arXiv.2303.07217, 10.1103/PhysRevA.107.063307

Weimer H, Kazemi J. Unpredictability and entanglement in open quantum systems. New Journal of Physics. 2023 Sept 15;25(9):093034. doi: 10.1088/1367-2630/acf151

Jamadagni A, Weimer H. Operational definition of topological order. Physical Review B. 2022 Aug 31;106(8):085143. doi: https://arxiv.org/abs/2005.06501, 10.1103/PhysRevB.106.085143

Jamadagni A, Ospelkaus S, Santos L, Weimer H. Quantum Zeno-based detection and state engineering of ultracold polar molecules. Physical Review Research. 2021 Sept 2;3(3):033208. doi: 10.1103/PhysRevResearch.3.033208

Li WH, Dhar A, Deng X, Santos L. Cluster dynamics in two-dimensional lattice gases with intersite interactions. Physical Review A. 2021 Apr 23;103(4):043331. doi: 10.1103/PhysRevA.103.043331

Li WH, Deng X, Santos L. Hilbert Space Shattering and Disorder-Free Localization in Polar Lattice Gases. Physical Review Letters. 2021 Dec 20;127(26):260601 . doi: 10.48550/arXiv.2103.13780, 10.1103/PhysRevLett.127.260601

Weimer H, Kshetrimayum A, Orús R. Simulation methods for open quantum many-body systems. Reviews of Modern Physics. 2021 Mar 24;93(1):015008. doi: 10.1103/RevModPhys.93.015008

Deng X, Masella G, Pupillo G, Santos L. Universal algebraic growth of entanglement entropy in many-body localized systems with power-law interactions. Physical Review Letters. 2020 Jun 29;125(1):010401. 010401. doi: 10.1103/PhysRevLett.125.010401

Li WH, Dhar A, Deng X, Kasamatsu K, Barbiero L, Santos L. Disorderless Quasi-localization of Polar Gases in One-Dimensional Lattices. Physical Review Letters. 2020 Jan 10;124(1):010404. doi: 10.48550/arXiv.1901.09762, 10.1103/PhysRevLett.124.010404

Pistorius T, Kazemi J, Weimer H. Quantum Many-Body Dynamics of Driven-Dissipative Rydberg Polaritons. Physical review letters. 2020 Dec 30;125(26):263604. doi: 10.48550/arXiv.2003.10463, 10.1103/PhysRevLett.125.263604

Raghunandan M, Wolf F, Ospelkaus C, Schmidt PO, Weimer H. Initialization of quantum simulators by sympathetic cooling. Science advances. 2020 Mar 6;6(10):eaaw9268. doi: 10.1126/sciadv.aaw9268

Deng X, Ray S, Sinha S, Shlyapnikov GV, Santos L. One-Dimensional Quasicrystals with Power-Law Hopping. Physical Review Letters. 2019 Jul 12;123(2):025301. Epub 2019 Jul 10. doi: 10.48550/arXiv.1808.03585, 10.1103/PhysRevLett.123.025301

Tanzi L, Lucioni E, Famà F, Catani J, Fioretti A, Gabbanini C et al. Observation of a Dipolar Quantum Gas with Metastable Supersolid Properties. Physical Review Letters. 2019 Apr 5;122(13):130405. Epub 2019 Apr 3. doi: 10.48550/arXiv.1811.02613, 10.1103/PhysRevLett.122.130405

Chomaz L, Van Bijnen RMW, Petter D, Faraoni G, Becher JH, Mark MJ et al. Observation of roton mode population in a dipolar quantum gas. Nature Physics. 2018 May;14(5):442-446. Epub 2018 Mar 5. doi: 10.1038/s41567-018-0054-7

Deng X, Kravtsov VE, Shlyapnikov GV, Santos L. Duality in Power-Law Localization in Disordered One-Dimensional Systems. Physical Review Letters. 2018 Mar 16;120(11):110602. doi: 10.48550/arXiv.1706.04088, 10.1103/PhysRevLett.120.110602

Jamadagni A, Weimer H, Bhattacharyya A. Robustness of topological order in the toric code with open boundaries. Physical Review B. 2018 Dec 21;98(23):235147. doi: 10.48550/arXiv.1804.09718, 10.1103/PhysRevB.98.235147

Raghunandan M, Wrachtrup J, Weimer H. High-Density Quantum Sensing with Dissipative First Order Transitions. Physical review letters. 2018 Apr 13;120(15):150501. Epub 2018 Apr 9. doi: 10.1103/PhysRevLett.120.150501

Roghani M, Weimer H. Dissipative preparation of entangled many-body states with Rydberg atoms. Quantum Science and Technology. 2018 Jul;3(3):035002. Epub 2018 Apr 11. doi: 10.48550/arXiv.1611.09612, 10.1088/2058-9565/aab3f3

Kshetrimayum A, Weimer H, Orús R. A simple tensor network algorithm for two-dimensional steady states. Nature Communications. 2017 Nov 3;8:1291. doi: 10.1038/s41467-017-01511-6

Overbeck VR, Maghrebi MF, Gorshkov AV, Weimer H. Multicritical behavior in dissipative Ising models. Physical Review A. 2017 Apr 26;95(4):042133. doi: 10.1103/physreva.95.042133

Kaczmarczyk J, Weimer H, Lemeshko M. Dissipative preparation of antiferromagnetic order in the Fermi-Hubbard model. New journal of physics. 2016 Sept 22;18(9):093042. doi: 10.1088/1367-2630/18/9/093042

Lammers J, Weimer H, Hammerer K. Open-system many-body dynamics through interferometric measurements and feedback. Physical Review A. 2016 Nov 17;94(5):052120. doi: 10.1103/PhysRevA.94.052120

Weimer H. Tailored jump operators for purely dissipative quantum magnetism. Journal of Physics B: Atomic, Molecular and Optical Physics. 2016 Dec 22;50(2):024001. doi: 10.1088/1361-6455/50/2/024001

All publications of the Collaborative Research Centre

Overview