H2020Individual fellowship2016–2018

ISOTOP · Interactions, Spins and Edges in Optical Lattices with Topological Band Structures

Horizon 2020 — Marie Skłodowska-Curie Actions

Duration
2016-05-01 → 2018-07-29
EU contribution
€159,461
Participants
1
Scheme
MSCA-IF-EF-ST

Lines connect the coordinator with its partners.

Results in brief

Interactions, Spins and Edges in Optical Lattices with Topological Band Structures

The main objective of this action is to study many-body phases in topological band structures. Specifically, this proposal will address the many-body effects due to interactions and moreover high spins in a fermionic quantum gas. Quantum technology becomes more and more important in every day life. However, our understanding of Quantum Mechanics is still far from complete. There are many phases of matter (high Tc superconductivity, fractional Quantum-Hall effect, etc.) where the underlying mechanisms are still not fully understood. Quantum simulation with ultra cold quantum gases might help to shed light on these problems. In this action, we try to simulate the effect of magnetic fields on graphene, via shaking of the optical lattice in which we trap our ultra cold atoms. Together with the ultimate control of both the interactions and the number of spins, this system will be a viable tool for better understanding the interplay between topology, interactions and spin. The goal of this action is to be able to detect topology and study the interplay between interaction, spins and topology.

Data: CORDIS, © European Union

Project objective

Electrons in a magnetic field experience a drift transverse to their velocity, which gives rise to intriguing effects such as the whole family of Hall Effects. Interestingly, this drift can also appear without a charged particle and without magnetic field, i.e. for ultra-cold quantum gases in optical lattices with non-trivial topology, described by a Berry curvature. This enables researchers to use the tunability of quantum gases and allow for studies beyond the possibilities of condensed matter systems. Furthermore, it allows to mimic and study in great detail fascinating effects such as topological insulators and edge-states. Especially, the interplay between topology and interactions is not well understood and the existence of many interesting states, such as topological insulators, fractional Chern insulators and topological superfluids, is predicted, but have not yet been observed. In recent years, great progress has been made in engineering topological band structures for quantum gases. Whereas theoretical proposals are well developed, so far there are only few experimental realizations of topological band structures, especially for fermionic quantum gases. In this action, we want to create non-trivial topological band structures and explore (many-body) phases that can emerge for fermions and mixtures of bosons and fermions. We will map out the Berry curvature and study the detection of edge states, which provides a clear signature of a non-trivial topology. For the first time, we will realize a new creation and detection method for topological band structures and study high spin Fermi systems in topological optical lattices.

Original text from CORDIS.

Participants

  • UNIVERSITY OF HAMBURG · HamburgCoordinatorGermany

Links

Data: CORDIS, © European Union