Detecting topological edge states with the dynamics of a qubit
arXiv:1910.09926 · doi:10.1016/j.physleta.2020.127035
Abstract
We consider the Su-Schrieffer-Heeger (SSH) chain, which has 0, 1, or 2 topological edge states depending on the ratio of the hopping parameters and the parity of the chain length. We couple a qubit to one edge of the SSH chain and a semi-infinite undimerized chain to the other, and evaluate the dynamics of the qubit. By evaluating the decoherence rate of the qubit we can probe the edge states of the SSH chain. The rate shows strong even-odd oscillations with the number of sites reflecting the presence or absence of edge states. Hence, the qubit acts as an efficient detector of the topological edge states of the SSH model. This can be generalized to other topological systems.
arXiv comment10 pages, 9 figures
References in corpus (11)
- Topological Insulators
- Quantum Computing
- Direct Measurement of the Zak phase in Topological Bloch Bands
- A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
- Topological Thouless Pumping of Ultracold Fermions
- A Silicon-on-Insulator Slab for Topological Valley Transport
- The Zak phase and the existence of edge states in graphene
- Topological characterizations of an extended Su-Schrieffer-Heeger model
- Real-space imaging of a topological protected edge state with ultracold atoms in an amplitude-chirped optical lattice
- Exact edge, bulk and bound states of finite topological systems
- Thermoelectric performance of topological boundary modes