Periodically Driven Quantum Systems: Effective Hamiltonians and Engineered Gauge Fields
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
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.
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
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.
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
Realistic time-reversal invariant topological insulators with neutral atoms.
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
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
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.