Exploring topological phases with quantum walks
By Takuya Kitagawa, Mark Rudner, Erez Berg, E. Demler. 2010
451 citations recorded by the source corpus.
The quantum walk was originally proposed as a quantum-mechanical analog of the classical random walk, and has since become a powerful tool in quantum information science. In this paper, we show that discrete-time quantum walks provide a versatile platform for studying topological phases, which are currently the subject of intense theoretical and experimental investigations. In particular, we demonstrate that recent experimental realizations of quantum walks with cold atoms, photons, and ions simulate a nontrivial one-dimensional topological phase. With simple modifications, the quantum walk can be engineered to realize all of the topological phases, which have been classified in one and two dimensions. We further discuss the existence of robust edge modes at phase boundaries, which provide experimental signatures for the nontrivial topological character of the system.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/e1b1df82b5d33d0d6dba6625075993ad509fc62c
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Artificial Intelligence
- Salvador Elías Venegas-Andraca
- Mario Krenn
- Manuel Erhard
- Norman Y. Yao
- G. Refael
- Anton Zeilinger
- Robert Fickler
- Vinay Venkatesh Ramasesh
In Atomic and Molecular Physics, and Optics
- M. Rechtsman
- N. Lindner
- Salvador Elías Venegas-Andraca
- G. Refael
- Mario Krenn
- Manuel Erhard
- Robert Fickler
- Y. Chong
Citations in the corpus
- Quantum walks: a comprehensive review (2012, background): “[238] have shown that discrete time quantum walks can be useful for studying topological phases, Attal et al.”
- Twisted photons: new quantum perspectives in high dimensions (2017, background): “[98] Takuya Kitagawa, Mark S Rudner, Erez Berg, and Eugene Demler.”
- Floquet topological insulator in semiconductor quantum wells (2010, background): “Topological states have been explored from the perspective of quantum walk”
- Experimental observation of optical Weyl points and Fermi arc-like surface states (2016, background): “[29] T Kitagawa, MS Rudner, E Berg, and E Demler.”
- Observing Topological Invariants Using Quantum Walks in Superconducting Circuits (2016, background): “The corresponding eigenstates consist of extended Bloch waves with spin polarization n⃗ðkÞ [17].”