Articles, Letters and preprints

Parametric Instability Rates in Periodically-Driven Band Systems

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

Phys. Rev. X 7, 021015 (2017)

Topological quantum matter with ultracold gases in optical lattices

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

Nature Physics 12, 639 (2016)

See also the full Focus issue on Topological matter !

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

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

Phys. Rev. A 94, 043611 (2016)

Synthetic Dimensions for Cold Atoms from Shaking a Harmonic Trap

Hannah M. Price, Tomoki Ozawa and Nathan Goldman,

Phys. Rev. A 95, 023607 (2017)

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)

Experimental observation of anomalous topological edge modes

in a slowly-driven photonic lattice

S. Mukherjee, A. Spracklen, M. Valiente, E. Andersson, P. Öhberg, 

N. Goldman and R. R. Thomson,

Nature Communications 8,13918 (2017)

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. Öhberg 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

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)

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: The Quantum Hall Effect Leaves Flatland by J. Thomas in Physics

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)

Preparing and probing Chern bands with cold atoms

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


Contribution to "Universal Themes of Bose-Einstein Condensation"

Edited by D.W. Snoke, N.P. Proukakis and P.B. Littlewood

Cambridge University Press

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)

Focus on Topological Physics

Modulation-assisted tunneling in laser-fabricated 

photonic Wannier-Stark ladders

S. Mukherjee, A. Spracklen, D. Choudhury, N. Goldman, 

P. Öhberg, E. Andersson and R. R. Thomson

New J. Phys. 17 115002 (2015)

Focus on Topological Physics

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)

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

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

Phys. Rev. Lett. 114, 245504 (2015); PRL Editors Suggestion

News and Views in Nature Materials by Maria Maragjou

Viewpoint: Trapped in a Photonic Maze in Physics by Diederik Wiersma

Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms

M. Aidelsburger, M. Lohse, C. Schweizer, M. Atala, 

J. T. Barreiro, S. Nascimbène, N. R. Cooper, I. Bloch and N. Goldman

Nature Physics 11, 162–166 (2015)

Commentary: Inside the quantum Hall effect by Wolfgang Ketterle in Nature Physics

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)

Review: Light-induced gauge fields for ultracold atoms

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

Rep. Prog. Phys. 77 126401 (2014)

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)

Editors’ choice in Science

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)

Highlights in Nature Physics: What's in a number? by I. Georgescu 

Realizing non-Abelian gauge potentials in optical 

square lattices: Application to atomic Chern insulators

N. Goldman, F. Gerbier and M. Lewenstein

J. Phys. B: At. Mol. Opt. Phys. 46 134010 (2013)

Highlights of 2013 in J. Phys. B

Direct imaging of topological edge states in cold-atom systems
N. Goldman, J. Dalibard, A. Dauphin, F. Gerbier, M. Lewenstein, 

P. Zoller and I. B. Spielman

PNAS 110(17) 6736-6741 (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)

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)

Highlights of 2013 in New J. Phys. 

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)

Detecting Chiral Edge States in the Hofstadter Optical Lattice
N. Goldman, J. Beugnon and F. Gerbier

Phys. Rev. Lett. 108, 255303 (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)

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)


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 

and M. Lewenstein

New J. Phys. 14, 015007 (2012)

Highlight of 2012 in New J. Phys.

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 Highlight 2012 Collection

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 and D. Bercioux

Phys. Rev. A 83, 063601 (2011)

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)


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) 

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)


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)

Characterizing the Hofstadter butterfly's outline with Chern numbers
N. Goldman,
J. Phys. B. 42, 055302 (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,
Europhysics Letters 80, 20001 (2007)

Quantum Hall-like effect for cold atoms in non-Abelian gauge potentials
N. Goldman and P. Gaspard,
Europhysics Letters 78, 60001 (2007)