Articles, Letters, Reviews and Preprints


Non-Abelian Bloch oscillations in higher-order topological insulators,

M. Di Liberto, N. Goldman, and G. Palumbo,

arXiv:2007.00549  (2020) [PDF];

Four-dimensional semimetals with tensor monopoles: From surface states to topological responses,

Yan-Qing Zhu, N. Goldman, and G. Palumbo,

arXiv:2006.00170  (2020) [PDF];

Hall drift of fractional Chern insulators in few-boson systems,

C. Repellin, J. Léonard, and N. Goldman,

arXiv:2005.09689  (2020) [PDF];

Detecting chiral pairing and topological superfluidity using circular dichroism,

Y. J. M. Midtgaard, Zhigang Wu, N. Goldman, and G. M. Bruun,

arXiv:2003.11610  (2020) [PDF];

Saturating the quantum Cramér-Rao bound and

measuring the related quantum Fisher information in a nitrogen-vacancy center in diamond,

Y. LiuM. YuP. YangM. GongQ. CaoS. ZhangH. Liu

M. HeylT. OzawaN. Goldman, and J. Cai,

arXiv:2003.08373  (2020) [PDF];

A dark state of Chern bands: Designing flat bands with higher Chern number,

M. Łącki, J. Zakrzewski, and N. Goldman,

arXiv:2002.05089 (2020) [PDF];

Bose-Hubbard physics in synthetic dimensions from interaction Trotterization,

L. Barbiero, L. Chomaz, S. Nascimbene, and N. Goldman,

arXiv:1907.10555 (2019) [PDF]


Review:Topological photonics,

T. Ozawa, H. M. Price, A. Amo, N. Goldman, M. Hafezi, L. Lu, M. C. Rechtsman, D. Schuster,

J. Simon, O. Zilberberg, and I. Carusotto,

Rev. Mod. Phys. 91, 015006 (2019)

Review: Artificial gauge fields in materials and engineered systems,

M. Aidelsburger, S. Nascimbene and N. Goldman,

Comptes Rendus Physique, 19, 394 (2018) [PDF]

Review: Topological quantum matter with ultracold gases in optical lattices,

N. Goldman, J. C. Budich and P. Zoller,

Nature Physics 12, 639 (2016)

Review: Light-induced gauge fields for ultracold atoms,

N. Goldman, G. Juzeliunas, P. Ohberg and I. B. Spielman,

Rep. Prog. Phys. 77 126401 (2014)

Articles and Letters


Realization of an anomalous Floquet topological system with ultracold atoms,

K. Wintersperger, C. Braun, F. N. Ünal, A. Eckardt, M. Di Liberto, 

N. Goldman, I.Bloch, and M. Aidelsburger,

Nature Physics (2020) [link];

News and Views ("Driving toward hot new phases") by Mark S. Rudner [link]

Interaction-induced lattices for bound states:

Designing flat bands, quantized pumps and higher-order topological insulators for doublons,

G. Salerno, G. Palumbo, N. Goldman, and M. Di Liberto,

Phys. Rev. Research 2, 013348 (2020) [link]

Floquet-engineering of nodal rings and nodal spheres

and their characterization using the quantum metric,

G. Salerno, N. Goldman, and G. Palumbo,

Phys. Rev. Research 2, 013224 (2020) [link]

Parametric instabilities of interacting bosons in periodically-driven 1D optical lattices,

K. Wintersperger, M. Bukov, J. Näger, S. Lellouch, E. Demler, U. Schneider

I. BlochN. Goldman and M. Aidelsburger,

Physical Review X 10, 011030 (2020) [link]

Experimental measurement of the quantum geometric tensor using coupled qubits in diamond,

M. Yu, P. Yang, M. Gong, Q. Cao, Q. Lu, H. Liu, S. Zhang, M. B. Plenio, F. Jelezko, T. Ozawa, N. Goldman and J. Cai,

National Science Review 7, 254 (2020)

Probing localization and quantum geometry by spectroscopy,

T. Ozawa and N. Goldman,

Phys. Rev. Research 1, 032019(R) (2019) [link]

Nonlinear dynamics of Aharonov-Bohm cages,

M. Di Liberto, S. Mukherjee, and N. Goldman,

Phys. Rev. A 100, 043829 (2019)

Coupling ultracold matter to dynamical gauge fields in optical lattices: From flux-attachment to Z2 lattice gauge theories,

L. Barbiero, C. Schweizer, M. Aidelsburger, E. Demler, N. Goldman and F. Grusdt,

Science Advances 5, eaav7444 (2019) [link]

• Quantized Hall conductance of a single atomic wire: A proposal based on synthetic dimensions,

G. Salerno, H. M. Price, M. Lebrat, S. Häusler, T. Esslinger, L. Corman, J.-P. Brantut and N. Goldman,

Physical Review X 9, 041001 (2019) [link]

Floquet approach to ℤ2 lattice gauge theories with ultracold atoms in optical lattices,

C. Schweizer, F. Grusdt, M. Berngruber, L. Barbiero, E. Demler, N. Goldman, I. Bloch and M. Aidelsburger,

Nature Physics 15, 1168 (2019) [link]

News & Views in Nature Physics by Cheng Chin [link]

Topological magnon insulator and quantized pumps from strongly-interacting bosons in optical superlattices,

Feng Mei, Gang Chen, N. Goldman, Liantuan Xiao, and Suotang Jia,

New J. Phys. 21, 095002 (2019), online at [link]

Detecting fractional Chern insulators through circular dichroism,

C. Repellin and N. Goldman,

Phys. Rev. Lett. 122, 166801 (2019); PRL Editors’ Suggestion

Parametric instabilities in a 2D periodically-driven bosonic system: Beyond the weakly-interacting regime,

T. BoulierJ. MaslekM. BukovC. BracamontesE. MagnanS. LellouchE. DemlerN. Goldman and J. V. Porto,

Phys. Rev. X 9, 011047 (2019)

Measuring quantized circular dichroism in ultracold topological matter,

L. AsteriaD. T. TranT. OzawaM. TarnowskiB. S. RemN. FläschnerK. SengstockN. Goldman and C. Weitenberg,

Nature Physics 15, 449 (2019)

Dropping an impurity into a Chern insulator: a polaron view on topological matter,

A. Camacho-Guardian, N. Goldman, P. Massignan and G. M. Bruun,

Phys. Rev. B 99, 081105(R) (2019)

Tensor Berry connections and their topological invariants,

G. Palumbo and N. Goldman,

Phys. Rev. B 99, 045154 (2019)

Revealing tensor monopoles through quantum-metric measurements,

G. Palumbo and N. Goldman,

Phys. Rev. Lett. 121, 170401 (2018)

State-recycling and time-resolved imaging in topological photonic lattices,

S. Mukherjee, H. K. Chandrasekharan, P. Ohberg, N. Goldman and R. R. Thomson,

Nature Communications, 9, 4209 (2018)

Experimental observation of Aharonov-Bohm cages in photonic lattices,

S. Mukherjee, M. Di Liberto, P. Öhberg, R. R. Thomson, and N. Goldman,

Phys. Rev. Lett. 121, 075502 (2018)

Quantized Rabi Oscillations and Circular Dichroism in Quantum Hall Systems,

D. T. Tran, N. R. Cooper, and N. Goldman,

Phys. Rev. A 97, 061602(R) (2018)

Extracting the quantum metric tensor through periodic driving,

T. Ozawa and N. Goldman,

Phys. Rev. B 97, 201117(R) (2018)

Quenched dynamics and spin-charge separation in an interacting topological lattice,

L. Barbiero, L. Santos, and N. Goldman,

Phys. Rev. B 97, 201115(R) (2018)

Parametric Instabilities in Resonantly-Driven Bose-Einstein Condensates,

S. Lellouch and N. Goldman,

Quantum Sci. Technol. 3 024011 (2018)

Tunable axial gauge fields in engineered Weyl semimetals: Semiclassical analysis and optical lattice implementations,

S. Roy, M. Kolodrubetz, N. Goldman and A. G. Grushin,

2D Materials 5, 024001 (2018)

Probing topology by “heating”: Quantized circular dichroism in ultracold atoms,

D. T. Tran, A. Dauphin, A. G. Grushin, P. Zoller and N. Goldman,

Science Advances 3, e1701207 (2017)

Loading Ultracold Gases in Topological Floquet Bands: Current and Center-of-Mass Responses,

A. Dauphin, D.-T. Tran, M. Lewenstein and N. Goldman,

2D Materials 4, 024010 (2017)

Experimental observation of anomalous topological edge modes in a slowly-driven photonic lattice,

S. Mukherjee, A. Spracklen, M. Valiente, E. Andersson, P. Ohberg, N. Goldman and R. R. Thomson,

Nature Communications 8,13918 (2017)

• Parametric Instability Rates in Periodically-Driven Band Systems,

S. Lellouch, M. Bukov, E. Demler and N. Goldman,

Phys. Rev. X 7, 021015 (2017)

Synthetic Dimensions for Cold Atoms from Shaking a Harmonic Trap,

H. M. Price, T. Ozawa and N. Goldman,

Phys. Rev. A 95, 023607 (2017)

Creating topological interfaces and detecting chiral edge modes in a 2D optical lattice,

N. Goldman, G. Jotzu, M. Messer, F. Gorg, R. Desbuquois and T. Esslinger,

Phys. Rev. A 94, 043611 (2016)

Realization of uniform synthetic magnetic fields by periodically shaking an optical square lattice,

C.E. Creffield, G. Pieplow, F. Sols and N. Goldman,

New Journal of Physics, 18 093013 (2016)

Observation of pair tunneling and coherent destruction of tunneling in arrays of optical waveguides,

S.Mukherjee, M.Valiente, N.Goldman,A. Spracklen, E.Andersson, P.Ohberg and R.R.Thomson,

Phys. Rev. A 94 053853 (2016)

Measurement of Chern numbers through center-of-mass responses,

H. M. Price, O. Zilberberg, T. Ozawa, I. Carusotto and N. Goldman,

Phys. Rev. B 93, 245113 (2016); Editors’ Suggestion

Synthetic dimensions in integrated photonics: From optical isolation to 4D quantum Hall physics,

T. Ozawa, H. M. Price, N. Goldman, O. Zilberberg and I. Carusotto,

Phys. Rev. A 93, 0438270 (2016)

Four-Dimensional Quantum Hall Effect with Ultracold Atoms,

H. M. Price, O. Zilberberg, T. Ozawa, I. Carusotto and N. Goldman,

Phys. Rev. Lett. 115, 195303 (2015); Synopsis in Physics

Dynamic optical lattices of sub-wavelength spacing for ultracold atoms,

S. Nascimbene, N. Goldman, N. R. Cooper and J. Dalibard,

Phys. Rev. Lett. 115, 140401 (2015)

Observation of a localized flat-band state in a photonic Lieb lattice,

S.Mukherjee, A.Spracklen, D.Choudhury, N.Goldman, P. Ohberg, E.Andersson and R.R.Thomson,

Phys. Rev. Lett. 114, 245504 (2015); PRL Editors' Suggestion and Viewpoint in Physics

Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms,

M. Aidelsburger, M. Lohse, C. Schweizer, M. Atala, J. T. Barreiro, S. Nascimbene, N. R. Cooper, I. Bloch and N. Goldman,

Nature Physics 11, 162 (2015); Commentary by W. Ketterle in Nature Physics

Methods for detecting charge fractionalization and winding numbers in an interacting fermionic ladder,

L. Mazza, M. Aidelsburger, H.-H. Tu, N. Goldman and M. Burrello,

New J. Phys. 17 105001 (2015)

Modulation-assisted tunneling in laser-fabricated photonic Wannier-Stark ladders,

S.Mukherjee, A.Spracklen, D.Choudhury, N.Goldman, P.Ohberg, E.Andersson and R.R.Thomson,

New J. Phys. 17 115002 (2015)

• Periodically-driven quantum matter: the case of resonant modulations,

N. Goldman, J. Dalibard, M. Aidelsburger and N. R. Cooper,

Phys. Rev. A 91, 033632 (2015)

Topological Hofstadter Insulators in a Two-Dimensional Quasicrystal,

D.-T. Tran, A. Dauphin, N. Goldman and P. Gaspard,

Phys. Rev. B 91, 085125 (2015)

Synthetic gauge fields in synthetic dimensions,

A. Celi, P. Massignan, J. Ruseckas, N. Goldman, I.B. Spielman, G. Juzeliunas and M. Lewenstein,

Phys. Rev. Lett. 112, 043001(2014); Highlight in Science

Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields,

N. Goldman and J. Dalibard,

Phys. Rev. X 4, 031027 (2014)

Design of laser-coupled honeycomb optical lattices supporting Chern insulators,

E. Anisimovas, F. Gerbier, T. Andrijauskas, and N. Goldman,

Phys. Rev. A 89, 013632 (2014)

Extracting the Chern number from the dynamics of a Fermi gas: Implementing a quantum Hall bar for cold atoms,

A. Dauphin and N. Goldman,

Phys. Rev. Lett. 111, 135302 (2013); Highlight in Nature Physics

Direct imaging of topological edges states with cold atoms,

N. Goldman, J. Dalibard, A. Dauphin, F. Gerbier, M. Lewenstein, P. Zoller and I. B. Spielman,

PNAS 110(17) 6736-6741 (2013)

Realizing non-Abelian gauge potentials in optical square lattices: Application to atomic Haldane-Chern insulators,

N. Goldman, F. Gerbier and M. Lewenstein,

J. Phys. B: At. Mol. Opt. Phys. 46 134010 (2013); IOPselect; Highlight in J. Phys. B

Measuring topology in a laser-coupled honeycomb lattice: From Chern insulators to topological semi- metals,

N. Goldman, E.Anisimovas, F.Gerbier, P.Ohberg, I.B.Spielman and G.Juzeliunas,

New J. Phys. 15, 013025 (2013)

Identifying Topological Edge States in 2D Optical Lattices Using Light Scattering,

N. Goldman, J. Beugnon and F. Gerbier,

Eur. Phys. J. Special Topics 217, 135 (2013)

Detecting chiral edge states in the Hofstadter optical lattice,

N. Goldman, J. Beugnon and F. Gerbier,

Phys. Rev. Lett. 108, 255303 (2012) 

Topological phases in a two-dimensional lattice: Magnetic field versus spin-orbit coupling,

W. Beugeling, N. Goldman and C. Morais Smith,

Phys. Rev. B 86, 075118 (2012)

Topological phase transitions between chiral and helical spin textures

in a lattice with spin-orbit coupling and a magnetic field,

N. Goldman, W. Beugeling and C. Morais Smith,

Europhys. Lett. 97, 23003 (2012); EPL Highlights of 2012

• Coexistence of spin-1/2 and spin-1 Dirac-Weyl fermions in the edge-centered honeycomb lattice,

Z. Lan,N. Goldman and P. Ohberg,

Phys. Rev. B 85, 155451 (2012)

An optical-lattice-based quantum simulator for relativistic field theories and topological insulators,

L. Mazza, A. Bermudez, N. Goldman, M. Rizzi, M. A. Martin-Delgado, M. Lewenstein,

New J. Phys. 14, 015007 (2012); NJP Highlights of 2012

Simulating Z2 topological insulators with cold atoms in a one-dimensional optical lattice,

F. Mei, S.-L. Zhu, Z.-M. Zhang, C. H. Oh and N. Goldman,

Phys. Rev. A 85, 013638 (2012)

Dirac-Weyl fermions with arbitrary spin in two-dimensional optical superlattices,

Z. Lan, N. Goldman, A. Bermudez, W. Lu and P. Ohberg,

Phys. Rev. B 84, 165115 (2011)

Topological Phases for Fermionic Cold Atoms on the Lieb Lattice,

N. Goldman, D. F. Urban, D. Bercioux,

Phys. Rev. A 83, 063601 (2011)

Topology-induced phase transitions in quantum spin Hall lattices,

D. Bercioux, N. Goldman and D. F. Urban,

Phys. Rev. A 83, 023609 (2011)

Wilson fermions and axion electrodynamics in optical lattices,

A. Bermudez, L. Mazza, M. Rizzi, N. Goldman, M. Lewenstein and M.A. Martin-Delgado,

Phys. Rev. Lett. 105, 190404 (2010)

• Realistic time-reversal invariant topological insulators with neutral atoms,

N. Goldman, I. Satija, P. Nikolic, A. Bermudez, M.A. Martin-Delgado, M.Lewenstein and I. B. Spielman,

Phys. Rev. Lett. 105, 255302 (2010)

Topological phase transitions in the non-Abelian honeycomb lattice,

A. Bermudez, N. Goldman, A. Kubasiak, M. Lewenstein and M.A. Martin-Delgado,

New J. Phys. 12, 033041 (2010)

Non-Abelian optical lattices: Anomalous quantum Hall effect and Dirac Fermions,

N. Goldman, A. Kubasiak, A. Bermudez, P. Gaspard, M. Lewenstein and M.A. Martin-Delgado,

Phys. Rev. Lett. 103, 035301 (2009)

Characterizing the Hofstadter butterfly’s outline with Chern numbers,

N. Goldman,

J. Phys. B. 42, 055302 (2009)

Ultracold atomic gases in non-Abelian gauge potentials: The case of constant Wilson loop,

N. Goldman, A. Kubasiak, P. Gaspard and M. Lewenstein,

Phys. Rev. A. 79, 023624 (2009)

• Mott-Insulator Transition for Ultracold Fermions in Two-Dimensional Optical Lattices,

N. Goldman,

Phys. Rev. A. 77, 053406 (2008)

Quantum graphs and the integer quantum Hall effect,

N. Goldman and P. Gaspard,

Phys. Rev. B. 77, 024302 (2008)

Spatial patterns in optical lattices submitted to gauge potentials,

N. Goldman,

Europhys. Letters 80, 20001 (2007)

Quantum Hall-like effect for cold atoms in non-Abelian gauge potentials,

N. Goldman and P. Gaspard,

Europhys. Letters 78, 60001 (2007)

Book contributions

Chapter: Preparing and probing Chern bands with cold atoms,

N. Goldman, N. R. Cooper and J. Dalibard,

Contribution to “Universal Themes of Bose-Einstein Condensation

Editors: D. W. Snoke, N. P. Proukakis and P. B. Littlewood (Cambridge University Press)


Realizing Topological Insulators with Neutral Atoms,

N. Goldman,

Proceedings of ICOLS 2011 (20th International Conference on Optics, Lasers and Spectroscopy)

Quantum Condensed Matter,

J. Tempere and N. Goldman,

The Theory of the Quantum World: Proceedings of the 25th Solvay Conference on Physics

Editors: D. Gross, M. Henneaux and A. Sevrin (World Scientific Publishing 2013)

Exotic Phases and Quantum Phase Transitions,

N. Goldman and S. J. Rey,

Quantum theory of condensed-matter: Proceedings of the 24th Solvay Conference on Physics,

Editors: B. I. Halperin and A. Sevrin (World Scientific Publishing 2010)

Experimentally Realized Correlated Electron Materials: From Superconductors to Topological Insulators,

N. Goldman and M. Sferazza,

Quantum theory of condensed-matter: Proceedings of the 24th Solvay Conference on Physics,

Editors: B. I. Halperin and A. Sevrin (World Scientific Publishing 2010)


• “Special issue on non-Abelian gauge fields”,

Co-editors: F. Gerbier, N. Goldman, K. Sengstock and M. Lewenstein.

J. Phys. B: At. Mol. Opt. Phys. 46 130201 (2013)