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  Quantum walks and quantum simulations with Bloch oscillating spinor atoms

Witthaut, D. (2010). Quantum walks and quantum simulations with Bloch oscillating spinor atoms. Physical Review A, 82: 033602. doi:10.1103/PhysRevA.82.033602.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-1221-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-1222-F
Genre: Journal Article

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 Creators:
Witthaut, Dirk1, Author              
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1Max Planck Research Group Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063295              

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 Abstract: We propose a scheme for the realization of a quantum walker and a quantum simulator for the Dirac equation with ultracold spinor atoms in driven optical lattices. A precise control of the dynamics of the atomic matter wave can be realized using time-dependent external forces. If the force depends on the spin state of the atoms, the dynamics will entangle the inner and outer degrees of freedom, which offers unique opportunities for quantum information and quantum simulation. Here we introduce a method to realize a quantum walker based on the state-dependent transport of spinor atoms and a coherent driving of the internal state. In the limit of weak driving the dynamics are equivalent to that of a Dirac particle in 1+1 dimensions. Thus it becomes possible to simulate relativistic effects such as Zitterbewegung and Klein tunneling.

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Language(s): eng - English
 Dates: 2010-09-08
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Method: Peer
 Identifiers: eDoc: 528925
DOI: 10.1103/PhysRevA.82.033602
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Title: Physical Review A
Source Genre: Journal
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Pages: - Volume / Issue: 82 Sequence Number: 033602 Start / End Page: - Identifier: -