Periodically Driven Quantum Systems: Effective Hamiltonians and Engineered Gauge Fields
- N. Goldman, J. Dalibard
- Physics
- 16 April 2014
Topological effects can result from a material's intrinsic properties, or can be generated by external electromagnetic fields or mechanical deformations. Researchers analyze how driven quantum…
Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- M. Aidelsburger, M. Lohse, N. Goldman
- Physics
- 16 July 2014
Chern numbers characterize the quantum Hall effect conductance—non-zero values are associated with topological phases. Previously only spotted in electronic systems, they have now been measured in…
Light-induced gauge fields for ultracold atoms
- N. Goldman, G. Juzeliūnas, P. Öhberg, I. Spielman
- PhysicsReports on progress in physics. Physical Society
- 29 August 2013
Different realized and proposed techniques for creating gauge potentials-both Abelian and non-Abelian-in atomic systems and their implication in the context of quantum simulation are reviewed.
Synthetic gauge fields in synthetic dimensions.
- A. Celi, P. Massignan, M. Lewenstein
- PhysicsPhysical Review Letters
- 5 June 2013
It is shown that this setup reproduces the main features of magnetic lattice systems, such as the fractal Hofstadter-butterfly spectrum and the chiral edge states of the associated Chern insulating phases.
Extracting the quantum metric tensor through periodic driving
- T. Ozawa, N. Goldman
- PhysicsActive Photonic Platforms XII
- 15 March 2018
We propose a generic protocol to experimentally measure the quantum metric tensor, a fundamental geometric property of quantum states. Our method is based on the observation that the excitation rate…
Observation of a Localized Flat-Band State in a Photonic Lieb Lattice.
- Sebabrata Mukherjee, A. Spracklen, R. Thomson
- PhysicsPhysical Review Letters
- 19 December 2014
The first experimental realization of a dispersionless state is demonstrated, in a photonic Lieb lattice formed by an array of optical waveguides, which opens an exciting door towards quantum simulation of flat-band models in a highly controllable environment.
Artificial gauge fields in materials and engineered systems
- M. Aidelsburger, S. Nascimbene, N. Goldman
- PhysicsComptes rendus. Physique
- 2 October 2017
Realistic time-reversal invariant topological insulators with neutral atoms.
- N. Goldman, I. Satija, I. Spielman
- PhysicsPhysical Review Letters
- 1 February 2010
An original method to synthesize a gauge field in the near field of an atom chip, which effectively mimics the effects of spin-orbit coupling and produces quantum spin-Hall states is introduced.
Topological Hofstadter insulators in a two-dimensional quasicrystal
- Duc-Thanh Tran, A. Dauphin, N. Goldman, P. Gaspard
- Physics
- 1 December 2014
We investigate the properties of a two-dimensional quasicrystal in the presence of a uniform magnetic field. In this configuration, the density of states (DOS) displays a Hofstadter-butterfly-like…
Experimental observation of anomalous topological edge modes in a slowly driven photonic lattice
- Sebabrata Mukherjee, A. Spracklen, R. Thomson
- PhysicsNature Communications
- 19 April 2016
This work demonstrates the experimental observation of anomalous topological edge modes in a 2D photonic lattice, where these propagating edge states are shown to coexist with a quasi-localized bulk.
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