Long-range interacting quantum systems

Photo credit: Emily Edwards
Interactions are what makes large quantum systems challenging to understand and promising for applications. Some of the most advanced quantum hardware, including trapped ions and Rydberg atoms, feature interactions that fall off with distance as a power law. Our group has made dramatic progress in understanding the exotic dynamical and static properties of such long-range-interacting systems and has discovered numerous applications of these systems. However, much more remains to be understood and discovered. We are also interested in a related topic of quantum routing, i.e. permuting quantum information stored in different qubits.
Sample of Related Publications
Unconventional Entanglement Scaling and Quantum Criticality in the Long-Range Spin-One Heisenberg Chain with Single-Ion Anisotropy
, , arXiv:2604.12754, (2026)Adelhardt et al_2026_Unconventional entanglement scaling and quantum criticality in the long-range.pdfRobustness-Runtime Tradeoff for Quantum State Transfer
, , arXiv, (2026)Upadhyaya et al_2026_Robustness-Runtime Tradeoff for Quantum State Transfer.pdfTime Independence Does Not Limit Information Flow. II. The Case with Ancillas
, , arXiv:2505.18254, (2025)Mooney et al_2025_Time independence does not limit information flow.pdfTime Independence Does Not Limit Information Flow. I. The Free-Particle Case
, , arXiv:2505.18249, (2025)Yuan et al_2025_Time Independence Does Not Limit Information Flow.pdfQuantum Routing and Entanglement Dynamics Through Bottlenecks
, , PRX Quantum, 7, (2026)7b1x-hjcy.pdfOptimal Routing Protocols for Reconfigurable Atom Arrays
, , arXiv:2411.05061, (2024)Constantinides et al_2024_Optimal Routing Protocols for Reconfigurable Atom Arrays.pdfExperimental Roadmap for Optimal State Transfer and Entanglement Generation in Power-Law Systems
, , arXiv:2402.07974, (2024)Guo et al_2024_Experimental roadmap for optimal state transfer and entanglement generation in.pdfNon-Equilibrium Critical Scaling and Universality in a Quantum Simulator
, , Nature Commun., 16, (2025)s41467-025-63398-y.pdf41467_2025_63398_MOESM1_ESM.pdfQuantum Spin Ice in Three-Dimensional Rydberg Atom Arrays
, , Phys. Rev. X, (2025)PhysRevX.15.011025.pdfContinuous Symmetry Breaking in a Trapped-Ion Spin Chain
, , Nature, 623, (2023)feng22.pdfAdvantages and limitations of quantum routing
, , PRX Quantum, 4, (2023)Aniruddha - 2023 - Advantages and Limitations of Quantum Routing.pdfQuantum Routing with Teleportation
, , Phys. Rev. Research, 6, (2024)PhysRevResearch.6.033313.pdfClustering of steady-state correlations in open systems with long-range interactions
, , arXiv:2110.15368, (2021)2110.15368.pdfLieb-Robinson Light Cone for Power-Law Interactions
, , Physical Review Letters, 127, (2021)tran21bsupp.pdftran21b.pdfQuantum routing with fast reversals
, , Quantum, 5, (2021)bapat21.pdfObservation of Stark many-body localization without disorder
, , Nature, 599, 393-+, (2021)2102.07250.pdfProgrammable Quantum Simulations of Spin Systems with Trapped Ions
, , Reviews of Modern Physics, 93, (2021)monroe21.pdfOptimal state transfer and entanglement generation in power-law interacting systems
, , Physical Review X, 11, (2021)tran21.pdfImplementing a Fast Unbounded Quantum Fanout Gate Using Power-Law Interactions
, , Phys. Rev. Research, 4, 6, (2022)guo22.pdfguo22supp.pdfMinimal Model for Fast Scrambling
, , Physical Review Letters, 125, (2020)balyansky20supp.pdfbalyansky20.pdfNearly optimal time-independent reversal of a spin chain
, , Physical Review Research, 4, (2022)bapat22.pdfbapat22supp.pdfHierarchy of linear light cones with long-range interactions
, , Physical Review X, 10, (2020)tran20b.pdfDomain-wall confinement and dynamics in a quantum simulator
, , Nature Physics, 17, 742-+, (2021)1912.11117.pdfLocality and heating in periodically driven, power-law-interacting systems
, , Physical Review A, 100, (2019)tran19b.pdfComplexity phase diagram for interacting and long-range bosonic Hamiltonians
, , Phys. Rev. Lett., 129, 8, (2019)maskara22.pdfmaskara22supp.pdfQuantum approximate optimization of the long-range Ising model with a trapped-ion quantum simulator
, , Proceedings of the National Academy of Sciences of the United States of America, 117, 25396-25401, (2020)pagano20arxiv.pdfSignaling and Scrambling with Strongly Long-Range Interactions
, , Physical Review A, 102, (2020)guo20.pdfguo20supp.pdfConfined Quasiparticle Dynamics in Long-Range Interacting Quantum Spin Chains
, , Physical Review Letters, 122, (2019)liu19supp.pdfliu19.pdfLocality and digital quantum simulation of power-law interactions
, , Physical Review X, 9, (2019)tran19.pdfObservation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
, , Nature, 551, 601-+, (2017)1708.01044.pdfEntanglement and spin-squeezing without infinite-range interactions
, , arXiv:1612.07805, (2016)1612.07805.pdfFast Quantum State Transfer and Entanglement Renormalization Using Long-Range Interactions
, , Physical Review Letters, 119, (2017)eldredge17.pdfeldredge17supp.pdfEntanglement Area Laws for Long-Range Interacting Systems
, , Physical Review Letters, 119, (2017)gong17.pdfContinuous Symmetry Breaking in 1D Long-Range Interacting Quantum Systems
, , Physical Review Letters, 119, (2017)maghrebi17.pdfKaleidoscope of quantum phases in a long-range interacting spin-1 chain
, , Physical Review B, 93, (2016)gong16b.pdfCausality and quantum criticality in long-range lattice models
, , Physical Review B, 93, (2016)maghrebi16b.pdfTopological phases with long-range interactions
, , Physical Review B, 93, (2016)gong16.pdfBilayer fractional quantum Hall states with dipoles
, , Physical Review A, 92, (2015)yao15.pdfNearly Linear Light Cones in Long-Range Interacting Quantum Systems
, , Physical Review Letters, 114, (2015)foss-feig15.pdfQuantum many-body models with cold atoms coupled to photonic crystals
, , Nature Photonics, 9, 326-331, (2015)1312.2435v2.pdfKitaev chains with long-range pairing
, , Physical Review Letters, 113, (2014)vodola14.pdfPersistence of locality in systems with power-law interactions
, , Physical Review Letters, 113, (2014)gong14.pdfNon-local propagation of correlations in quantum systems with long-range interactions
, , Nature, 511, 198-+, (2014)1401.5088.pdfRealizing Fractional Chern Insulators with Dipolar Spins
, , Phys. Rev. Lett., 110, 185302, (2013)yao13c.pdfTopological phases in ultracold polar-molecule quantum magnets
, , Phys. Rev. B, 87, 081106(R), (2013)manmana13.pdfTopological Flat Bands from Dipolar Spin Systems
, , Phys. Rev. Lett., 109, 266804, (2012)yao12.pdfQuantum magnetism with polar alkali-metal dimers
, , Phys. Rev. A, 84, 033619, (2011)gorshkov11c.pdfTunable Superfluidity and Quantum Magnetism with Ultracold Polar Molecules
, , Phys. Rev. Lett., 107, 115301, (2011)gorshkov11b.pdf