Topological bound states of a quantum walk with cold atoms
Topological bound states of a quantum walk with cold atoms
We suggest a method for engineering a quantum walk, with cold atoms as walkers, which presents topologically nontrivial properties. We derive the phase diagram, and show that we are able to produce a boundary between topologically distinct phases using the finite beam width of the applied lasers. A topologically protected bound state can then be observed, which is pinned to the interface and is robust to perturbations. We show that it is possible to identify this bound state by averaging over spin sensitive measures of the atom's position, based on the spin distribution that these states display. Interestingly, there exists a parameter regime in which our system maps on to the Creutz ladder.
1-16
Mugel, Samuel
22d0e4d2-9f1f-4d04-a091-38c70279da38
Celi, Alessio
83d33761-0125-4b6a-9f46-688f73bf0faa
Massignan, Pietro
c5fa304f-6e14-42d0-a2d2-82e1c9e16b90
Asboth, Janos
ff076f33-e566-4843-8485-36738a5778c3
Lewenstein, Maciej
7b3579ac-fce2-425f-a75c-3952576d41b8
Lobo, Carlos
cde7843a-c00b-4242-a8cd-1abb2dfe0703
26 August 2016
Mugel, Samuel
22d0e4d2-9f1f-4d04-a091-38c70279da38
Celi, Alessio
83d33761-0125-4b6a-9f46-688f73bf0faa
Massignan, Pietro
c5fa304f-6e14-42d0-a2d2-82e1c9e16b90
Asboth, Janos
ff076f33-e566-4843-8485-36738a5778c3
Lewenstein, Maciej
7b3579ac-fce2-425f-a75c-3952576d41b8
Lobo, Carlos
cde7843a-c00b-4242-a8cd-1abb2dfe0703
Mugel, Samuel, Celi, Alessio, Massignan, Pietro, Asboth, Janos, Lewenstein, Maciej and Lobo, Carlos
(2016)
Topological bound states of a quantum walk with cold atoms.
Physical Review A, 94 (2), , [023631].
(doi:10.1103/PhysRevA.94.023631).
Abstract
We suggest a method for engineering a quantum walk, with cold atoms as walkers, which presents topologically nontrivial properties. We derive the phase diagram, and show that we are able to produce a boundary between topologically distinct phases using the finite beam width of the applied lasers. A topologically protected bound state can then be observed, which is pinned to the interface and is robust to perturbations. We show that it is possible to identify this bound state by averaging over spin sensitive measures of the atom's position, based on the spin distribution that these states display. Interestingly, there exists a parameter regime in which our system maps on to the Creutz ladder.
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Accepted/In Press date: 5 August 2016
e-pub ahead of print date: 26 August 2016
Published date: 26 August 2016
Organisations:
Applied Mathematics
Identifiers
Local EPrints ID: 401734
URI: http://eprints.soton.ac.uk/id/eprint/401734
ISSN: 1050-2947
PURE UUID: 58af0928-4afe-4520-a753-b456989878e3
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Date deposited: 20 Oct 2016 13:34
Last modified: 15 Mar 2024 03:32
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Contributors
Author:
Samuel Mugel
Author:
Alessio Celi
Author:
Pietro Massignan
Author:
Janos Asboth
Author:
Maciej Lewenstein
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