• Identification and Properties of Topological States in the Bulk of Quasicrystals
  F. Balling-Ansø, J. L. Krogh, E. E. Lassen & A. E. B. Nielsen
  arXiv:2507.20722

• Experimental protocol for observing single quantum many-body scars with transmon qubits
  P. Larsen, A. E. B. Nielsen, A. Eckardt & F. Petiziol
  arXiv:2410.14613

• Probing Hilbert space fragmentation with strongly interacting Rydberg atoms
  F. Yang, H. Yarloo, H.-C. Zhang, K. Mølmer & A. E. B. Nielsen
  Phys. Rev. B 111, 144313 (2025); arXiv:2403.13790

• Phase transitions in quantum many-body scars
  P. Larsen & A. E. B. Nielsen
  Phys. Rev. Research 6, L042007 (2024); arXiv:2405.20113

• Hilbert space fragmentation from lattice geometry
  P. H. Harkema*, M. Iversen* & A. E. B. Nielsen
  Phys. Rev. A 110, 023301 (2024); arXiv:2404.07825

• Adiabatic Time Evolution of Highly Excited States
  H. Yarloo, H.-C. Zhang & A. E. B. Nielsen
  PRX Quantum 5, 020365 (2024); arXiv:2306.13967

• Many-body localization on finite generation fractal lattices
  S. Manna*, B. Jaworowski* & A. E. B. Nielsen
  J. Stat. Mech. 2024, 053301 (2024); arXiv:2111.13516

• Dynamics of quasiholes and quasiparticles at the edges of small lattices
  X. Li, B. Jaworowski, M. Haque & A. E. B. Nielsen
  Phys. Rev. A 109, 023312 (2024); arXiv:2305.18364

• Tower of two-dimensional scar states in a localized system
  M. Iversen, J. H. Bardarson & A. E. B. Nielsen
  Phys. Rev. A 109, 023310 (2024); arXiv:2308.12409

• Mobility edges through inverted quantum many-body scarring
  N. S. Srivatsa, H. Yarloo, R. Moessner & A. E. B. Nielsen
  Phys. Rev. B 108, L100202 (2023); arXiv:2208.01054

• Adiabatic pumping and transport in the Sierpinski-Hofstadter model
  S. Sarangi & A. E. B. Nielsen
  Phys. Rev. Research 5, 033132 (2023); arXiv:2304.11201

• Finite-size topology
  A. M. Cook & A. E. B. Nielsen
  Phys. Rev. B 108, 045144 (2023); arXiv:2212.11300

• Approximate Hofstadter- and Kapit-Mueller-like parent Hamiltonians for Laughlin states on fractals
  B. Jaworowski, M. Iversen & A. E. B. Nielsen
  Phys. Rev. A 107, 063315 (2023); arXiv:2301.09971

• Tower of quantum scars in a partially many-body localized system
  M. Iversen & A. E. B. Nielsen
  Phys. Rev. B 107, 205140 (2023); arXiv:2301.01681

• Properties of Laughlin states on fractal lattices
  M. C. Jha & A. E. B. Nielsen
  J. Stat. Mech. 2023, 053103 (2023); arXiv:2302.10010

• Escaping many-body localization in an exact eigenstate
  M. Iversen*, N. S. Srivatsa* & A. E. B. Nielsen
  Phys. Rev. B 106, 214201 (2022); arXiv:2201.00830

• Single-shot determination of quantum phases via continuous measurements
  A. Patra, L. F. Buchmann, F. Motzoi, K. Mølmer, J. Sherson & A. E. B. Nielsen
  Phys. Rev. A 106, 032215 (2022); arXiv:1906.02518

• Non-Abelian chiral spin liquid on a spin-1 kagome lattice: Truncation of an exact Hamiltonian and numerical optimization
  B. Jaworowski & A. E. B. Nielsen
  Phys. Rev. B 106, 115131 (2022); arXiv:2202.09193

• Bulk localized transport states in infinite and finite quasicrystals via magnetic aperiodicity
  D. Johnstone*, M. J. Colbrook*, A. E. B. Nielsen, P. Öhberg & C. W. Duncan
  Phys. Rev. B 106, 045149 (2022); arXiv:2107.05635

• Laughlin topology on fractal lattices without area law entanglement
  X. Li*, M. C. Jha* & A. E. B. Nielsen
  Phys. Rev. B 105, 085152 (2022); arXiv:2201.04652

• Anyon braiding on a fractal lattice with a local Hamiltonian
  S. Manna, C. W. Duncan, C. A. Weidner, J. Sherson & A. E. B. Nielsen
  Phys. Rev. A 105, L021302 (2022); arXiv:2106.13816
  Erratum: Phys. Rev. A 107, 069901 (2023)

• Topological quantum many-body scars in quantum dimer models on the kagome lattice
  J. Wildeboer, A. Seidel, N. S. Srivatsa, A. E. B. Nielsen & O. Erten
  Phys. Rev. B 104, L121103 (2021); arXiv:2009.00022

• Continuum limit of lattice quasielectron wavefunctions
  A. Patra, B. Hillebrecht & A. E. B. Nielsen
  J. Stat. Mech. 2021, 083101 (2021); arXiv:2004.12205

• Effect of coordination on topological phases on self-similar structures
  S. Sarangi & A. E. B. Nielsen
  Phys. Rev. B 104, 045147 (2021); arXiv:2101.02723

• Model wave functions for an interface between lattice Laughlin and Moore-Read states
  B. Jaworowski & A. E. B. Nielsen
  Phys. Rev. B 103, 205149 (2021); arXiv:2012.12011

• Field tensor network states
  A. E. B. Nielsen, B. Herwerth, J. I. Cirac & G. Sierra
  Phys. Rev. B 103, 155130 (2021); arXiv:2001.07723

• Quasiparticles as detector of topological quantum phase transitions
  S. Manna, N. S. Srivatsa, J. Wildeboer & A. E. B. Nielsen
  Phys. Rev. Research 2, 043443 (2020); arXiv:1909.02046

• Many-body Delocalization via Emergent Symmetry
  N. S. Srivatsa, R. Moessner & A. E. B. Nielsen
  Phys. Rev. Lett. 125, 240401 (2020); arXiv:2002.07824

• Quantum many-body scars with chiral topological order in two dimensions and critical properties in one dimension
  N. S. Srivatsa, J. Wildeboer, A. Seidel & A. E. B. Nielsen
  Phys. Rev. B 102, 235106 (2020); arXiv:2009.03923

• Anyonic quasiparticles of hardcore anyons
  J. Wildeboer, A. Patra, S. Manna & A. E. B. Nielsen
  Phys. Rev. B 102, 125117 (2020); arXiv:1711.00845

• Disordered Haldane-Shastry model
  S. Pai*, N. S. Srivatsa* & A. E. B. Nielsen
  Phys. Rev. B 102, 035117 (2020); arXiv:2003.12579

• Model wavefunctions for interfaces between lattice Laughlin states
  B. Jaworowski & A. E. B. Nielsen
  Phys. Rev. B 101, 245164 (2020); arXiv:1911.12380

• Anyons and Fractional Quantum Hall Effect in Fractal Dimensions
  S. Manna*, B. Pal*, W. Wang* & A. E. B. Nielsen
  Phys. Rev. Research 2, 023401 (2020); arXiv:1907.03193

• Few-particle dynamics of fractional quantum Hall lattice models
  D. K. Nandy, M. Haque & A. E. B. Nielsen
  Phys. Rev. B 101, 205305 (2020); arXiv:1912.09894

• Topological models in rotationally symmetric quasicrystals
  C. W. Duncan, S. Manna & A. E. B. Nielsen
  Phys. Rev. B 101, 115413 (2020); arXiv:1912.09568

• Truncation of lattice fractional quantum Hall Hamiltonians derived from conformal field theory
  D. K. Nandy*, N. S. Srivatsa* & A. E. B. Nielsen
  Phys. Rev. B 100, 035123 (2019); arXiv:1902.09017

• Quasielectrons in lattice Moore-Read models
  S. Manna, J. Wildeboer & A. E. B. Nielsen
  Phys. Rev. B 99, 045147 (2019); arXiv:1810.12288
  Erratum: Phys. Rev. B 102, 199901 (2020)

• Non-Abelian quasiholes in lattice Moore-Read states and parent Hamiltonians
  S. Manna, J. Wildeboer, G. Sierra & A. E. B. Nielsen
  Phys. Rev. B 98, 165147 (2018); arXiv:1807.11222

• Bosonic Gaussian states from conformal field theory
  B. Herwerth, G. Sierra, J. I. Cirac & A. E. B. Nielsen
  Phys. Rev. B 98, 115156 (2018); arXiv:1807.01943

• Local Hamiltonians for one-dimensional critical models
  D. K. Nandy, N. S. Srivatsa & A. E. B. Nielsen
  J. Stat. Mech. 2018, 063107 (2018); arXiv:1712.10306

• Chain and ladder models with two-body interactions and analytical ground states
  S. Manna & A. E. B. Nielsen
  Phys. Rev. B 97, 195143 (2018); arXiv:1708.09223

• Quasielectrons as inverse quasiholes in lattice fractional quantum Hall models
  A. E. B. Nielsen, I. Glasser & I. D. Rodríguez
  New J. Phys. 20, 033029 (2018); arXiv:1609.02389

• Global optimization for quantum dynamics of few-fermion systems
  X. Li, D. Pecak, T. Sowiński, J. Sherson & A. E. B. Nielsen
  Phys. Rev. A 97, 033602 (2018); arXiv:1801.09585

• Effective three-body interactions for bosons in a double-well confinement
  J. Dobrzyniecki, X. Li, A. E. B. Nielsen & T. Sowiński
  Phys. Rev. A 97, 013609 (2018); arXiv:1711.05100

• Effective description of correlations for states obtained from conformal field theory
  B. Herwerth, G. Sierra, J. I. Cirac & A. E. B. Nielsen
  Phys. Rev. B 96, 115139 (2017); arXiv:1706.03574

• Lattice effects on Laughlin wave functions and parent Hamiltonians
  I. Glasser, J. I. Cirac, G. Sierra & A. E. B. Nielsen
  Phys. Rev. B 94, 245104 (2016); arXiv:1609.02435

• Lattice Laughlin states on the torus from conformal field theory
  A. Deshpande & A. E. B. Nielsen
  J. Stat. Mech. 2016, 013102 (2016); arXiv:1507.04335

• Edge states for the Kalmeyer-Laughlin wave function
  B. Herwerth, G. Sierra, H.-H. Tu, J. I. Cirac & A. E. B. Nielsen
  Phys. Rev. B 92, 245111 (2015); arXiv:1509.02147

• Continuum limit of lattice models with Laughlin-like ground states containing quasiholes
  I. D. Rodríguez & A. E. B. Nielsen
  Phys. Rev. B 92, 125105 (2015); arXiv:1506.02683

• Exact parent Hamiltonians of bosonic and fermionic Moore-Read states on lattices and local models
  I. Glasser, J. I. Cirac, G. Sierra & A. E. B. Nielsen
  New J. Phys. 17, 082001 (2015); arXiv:1505.04998

• Excited states in spin chains from conformal blocks
  B. Herwerth, G. Sierra, H.-H. Tu & A. E. B. Nielsen
  Phys. Rev. B 91, 235121 (2015); arXiv:1501.07557

• Anyon braiding in semianalytical fractional quantum Hall lattice models
  A. E. B. Nielsen
  Phys. Rev. B 91, 041106(R) (2015); arXiv:1409.3073

• Optical-lattice implementation scheme of a bosonic topological model with fermionic atoms
  A. E. B. Nielsen, G. Sierra & J. I. Cirac
  Phys. Rev. A 90, 013606 (2014); arXiv:1311.7684

• Quantum spin models for the SU(n)₁ Wess-Zumino-Witten model
  H.-H. Tu, A. E. B. Nielsen & G. Sierra
  Nucl. Phys. B 886, 328 (2014); arXiv:1405.2950

• Construction of spin models displaying quantum criticality from quantum field theory
  I. Glasser, J. I. Cirac, G. Sierra & A. E. B. Nielsen
  Nucl. Phys. B 886, 63 (2014); arXiv:1405.4135

• Bosonic fractional quantum Hall states on the torus from conformal field theory
  A. E. B. Nielsen & G. Sierra
  J. Stat. Mech. 2014, P04007 (2014); arXiv:1312.5134

• Lattice Laughlin states of bosons and fermions at filling fractions 1/q
  H.-H. Tu, A. E. B. Nielsen, J. I. Cirac & G. Sierra
  New J. Phys. 16, 033025 (2014); arXiv:1311.3958

• Local models of fractional quantum Hall states in lattices and physical implementation
  A. E. B. Nielsen, G. Sierra & J. I. Cirac
  Nat. Commun. 4, 2864 (2013); arXiv:1304.0717

• Laughlin Spin-Liquid States on Lattices Obtained from Conformal Field Theory
  A. E. B. Nielsen, J. I. Cirac & G. Sierra
  Phys. Rev. Lett. 108, 257206 (2012); arXiv:1201.3096

• Quantum spin Hamiltonians for the SU(2)_k WZW model
  A. E. B. Nielsen, J. I. Cirac & G. Sierra
  J. Stat. Mech. 2011, P11014 (2011); arXiv:1109.5470

• Efficient all-optical switch using a Λ atom in a cavity QED system
  A. E. B. Nielsen & J. Kerckhoff
  Phys. Rev. A 84, 043821 (2011); arXiv:1106.2350

• Violation of the area law and long-range correlations in infinite-dimensional-matrix product states
  A. E. B. Nielsen, G. Sierra & J. I. Cirac
  Phys. Rev. A 83, 053807 (2011); arXiv:1103.2205

• Topological matter with collective encoding and Rydberg blockade
  A. E. B. Nielsen & K. Mølmer
  Phys. Rev. A 82, 052326 (2010); arXiv:1006.5664

• Quantum state engineering, purification, and number resolved photon detection with high finesse optical cavities
  A. E. B. Nielsen, C. A. Muschik, G. Giedke & K. G. H. Vollbrecht
  Phys. Rev. A 81, 043832 (2010); arXiv:1002.0127

• Deterministic multimode photonic device for quantum-information processing
  A. E. B. Nielsen & K. Mølmer
  Phys. Rev. A 81, 043822 (2010); arXiv:1001.1429

• Fighting decoherence in a continuous two-qubit odd- or even-parity measurement with a closed-loop setup
  A. E. B. Nielsen
  Phys. Rev. A 81, 012307 (2010); arXiv:0908.0817

• Quantum filter reduction for measurement-feedback control via unsupervised manifold learning
  A. E. B. Nielsen, A. S. Hopkins & H. Mabuchi
  New J. Phys. 11, 105043 (2009); arXiv:0905.1139

• Atomic quantum superposition state generation via optical probing
  A. E. B. Nielsen, U. V. Poulsen, A. Negretti & K. Mølmer
  Phys. Rev. A 79, 023841 (2009); arXiv:0812.4048

• Atomic spin squeezing in an optical cavity
  A. E. B. Nielsen & K. Mølmer
  Phys. Rev. A 77, 063811 (2008); arXiv:0805.0482

• Stochastic master equation for a probed system in a cavity
  A. E. B. Nielsen & K. Mølmer
  Phys. Rev. A 77, 052111 (2008); arXiv:0802.1225

• Transforming squeezed light into a large-amplitude coherent-state superposition
  A. E. B. Nielsen & K. Mølmer
  Phys. Rev. A 76, 043840 (2007); arXiv:0708.1956

• Multimode analysis of the light emitted from a pulsed optical parametric oscillator
  A. E. B. Nielsen & K. Mølmer
  Phys. Rev. A 76, 033832 (2007); arXiv:0706.4159

• Conditional generation of path-entangled optical |N,0>+ |0,N> states
  A. E. B. Nielsen & K. Mølmer
  Phys. Rev. A 75, 063803 (2007); arXiv:0704.0397

• Photon number states generated from a continuous-wave light source
  A. E. B. Nielsen & K. Mølmer
  Phys. Rev. A 75, 043801 (2007); arXiv:quant-ph/0612129

• Single-photon-state generation from a continuous-wave nondegenerate optical parametric oscillator
  A. E. B. Nielsen & K. Mølmer
  Phys. Rev. A 75, 023806 (2007); arXiv:quant-ph/0611268