Effects of smooth boundaries on topological edge modes in optical lattices

@article{Buchhold2012EffectsOS,
  title={Effects of smooth boundaries on topological edge modes in optical lattices},
  author={M. Buchhold and Daniel Cocks and Walter Hofstetter},
  journal={Physical Review A},
  year={2012},
  volume={85},
  pages={063614}
}
Since the experimental realization of synthetic gauge fields for neutral atoms, the simulation of topologically nontrivial phases of matter with ultracold atoms has become a major focus of cold-atom experiments. However, several obvious differences exist between cold-atom and solid-state systems, for instance the small size of the atomic cloud and the smooth confining potential. In this article we show that sharp boundaries are not required to realize quantum Hall or quantum spin Hall physics… 
Identifying topological edge states in 2D optical lattices using light scattering
We recently proposed in a Letter [Phys. Rev. Lett. 108, 255303] a novel scheme to detect topological edge states in an optical lattice, based on a generalization of Bragg spectroscopy. The scope of
Direct imaging of topological edge states in cold-atom systems
TLDR
It is shown that optical-lattice-based experiments can be tailored to directly visualize the propagation of topological edge modes, and the scheme, applicable to an assortment of atomic topological phases, provides a method for imaging the dynamics of topology edge modes.
Interacting Hofstadter Interface.
TLDR
Since experimental probing of edge states remains a challenge in ultracold atom setups, this work proposes the detection of the local compressibility by measuring correlations with a quantum gas microscope and concludes that interactions only shift its position.
Probing Bloch band geometry with ultracold atoms in optical lattices
Ultracold atoms in optical lattices have recently emerged as promising candidates for investigating the geometric and topological aspects of band structures. In this thesis, we exploit the high
Preparing and probing Chern bands with cold atoms
The present chapter discusses methods by which topological Bloch bands can be prepared in cold-atom setups. Focusing on the case of Chern bands for two-dimensional systems, we describe how
Local Chern marker of smoothly confined Hofstadter fermions
The engineering of topological non-trivial states of matter, using cold atoms, has made great progress in the last decade. Driven by experimental successes, it has become of major interest in the
Manipulating topological-insulator properties using quantum confinement
Recent discoveries have spurred the theoretical prediction and experimental realization of novel materials that have topological properties arising from band inversion. Such topological insulators
Excitation band topology and edge matter waves in Bose-Einstein condensates in optical lattices
We show that Bose-Einstein condensates in optical lattices with broken time-reversal symmetry can support chiral edge modes originating from nontrivial bulk excitation band topology. To be specific,
Realization of anomalous Floquet topological phases with ultracold atoms
Coherent control via periodic modulation, also known as Floquet engineering, has emerged as a powerful experimental method for the realization of novel quantum systems with exotic properties. In
Creating topological interfaces and detecting chiral edge modes in a two-dimensional optical lattice
We propose a general scheme to create chiral topological edge modes within the bulk of two-dimensional engineered quantum systems. Our method is based on the implementation of topological interfaces,
...
1
2
3
4
...