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Quantum walk of a Bose-Einstein condensate in the Brillouin zone

Andrea Alberti and Sandro Wimberger
Phys. Rev. A 96, 023620 – Published 22 August 2017
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Abstract

We propose a realistic scheme to implement discrete-time quantum walks in the Brillouin zone (i.e., in quasimomentum space) with a spinor Bose-Einstein condensate. Relying on a static optical lattice to suppress tunneling in real space, the condensate is displaced in quasimomentum space in discrete steps conditioned upon the internal state of the atoms, while short pulses periodically couple the internal states. We show that tunable twisted boundary conditions can be implemented in a fully natural way by exploiting the periodicity of the Brillouin zone. The proposed setup does not suffer from off-resonant scattering of photons and could allow for a robust implementation of quantum walks with several tens of steps at least. In addition, on-site atom-atom interactions can be used to simulate interactions with infinitely long range in the Brillouin zone.

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  • Received 2 May 2017

DOI:https://doi.org/10.1103/PhysRevA.96.023620

©2017 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyAtomic, Molecular & OpticalStatistical Physics & ThermodynamicsGeneral PhysicsInterdisciplinary Physics

Authors & Affiliations

Andrea Alberti1,* and Sandro Wimberger2,3,4,†

  • 1Institut für Angewandte Physik, Universität Bonn, Wegelerstraße 8, 53115 Bonn, Germany
  • 2Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Università di Parma, Parco Area delle Scienze n. 7/a, 43124 Parma, Italy
  • 3INFN, Sezione di Milano Bicocca, Gruppo Collegato di Parma, Parma, Italy
  • 4ITP, Heidelberg University, Philosophenweg 12, 69120 Heidelberg, Germany

  • *alberti@iap.uni-bonn.de
  • sandromarcel.wimberger@unipr.it

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Issue

Vol. 96, Iss. 2 — August 2017

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