Details
| Original language | English |
|---|---|
| Pages (from-to) | 240503 |
| Number of pages | 1 |
| Journal | Phys. Rev. Lett. |
| Volume | 109 |
| Publication status | Published - 2012 |
Abstract
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In: Phys. Rev. Lett., Vol. 109, 2012, p. 240503.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Quantum Walks with Non-Orthogonal Position States
AU - Matjeschk, R.
AU - Ahlbrecht, A.
AU - Enderlein, M.
AU - Cedzich, Ch.
AU - Werner, A. H.
AU - Keyl, M.
AU - Schaetz, T.
AU - Werner, R. F.
PY - 2012
Y1 - 2012
N2 - Quantum walks have by now been realized in a large variety of different physical settings. In some of these, particularly with trapped ions, the walk is implemented in phase space, where the corresponding position states are not orthogonal. We develop a general description of such a quantum walk and show how to map it into a standard one with orthogonal states, thereby making available all the tools developed for the latter. This enables a variety of experiments, which can be implemented with smaller step sizes and more steps. Tuning the non-orthogonality allows for an easy preparation of extended states such as momentum eigenstates, which travel at a well-defined speed with low dispersion. We introduce a method to adjust their velocity by momentum shifts, which allows to investigate intriguing effects such as the analog of Bloch oscillations.
AB - Quantum walks have by now been realized in a large variety of different physical settings. In some of these, particularly with trapped ions, the walk is implemented in phase space, where the corresponding position states are not orthogonal. We develop a general description of such a quantum walk and show how to map it into a standard one with orthogonal states, thereby making available all the tools developed for the latter. This enables a variety of experiments, which can be implemented with smaller step sizes and more steps. Tuning the non-orthogonality allows for an easy preparation of extended states such as momentum eigenstates, which travel at a well-defined speed with low dispersion. We introduce a method to adjust their velocity by momentum shifts, which allows to investigate intriguing effects such as the analog of Bloch oscillations.
U2 - 10.1103/PhysRevLett.109.240503
DO - 10.1103/PhysRevLett.109.240503
M3 - Article
VL - 109
SP - 240503
JO - Phys. Rev. Lett.
JF - Phys. Rev. Lett.
ER -