Digital quantum simulation with Rydberg atoms

  • H. Weimer
  • M. Müller
  • H. P. Büchler
  • I. Lesanovsky


We discuss in detail the implementation of an open-system quantum simulator with Rydberg states of neutral atoms held in an optical lattice. Our scheme allows one to realize both coherent as well as dissipative dynamics of complex spin models involving many-body interactions and constraints. The central building block of the simulation scheme is constituted by a mesoscopic Rydberg gate that permits the entanglement of several atoms in an efficient, robust and quick protocol. In addition, optical pumping on ancillary atoms provides the dissipative ingredient for engineering the coupling between the system and a tailored environment. As an illustration, we discuss how the simulator enables the simulation of coherent evolution of quantum spin models such as the two-dimensional Heisenberg model and Kitaev’s toric code, which involves four-body spin interactions. We moreover show that in principle also the simulation of lattice fermions can be achieved. As an example for zcontrolled dissipative dynamics, we discuss ground state cooling of frustration-free spin Hamiltonians.


Quantum simulator Digital quantum simulation Rydberg atoms Dissipative dynamics 


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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • H. Weimer
    • 1
    • 2
  • M. Müller
    • 3
    • 4
  • H. P. Büchler
    • 5
  • I. Lesanovsky
    • 6
  1. 1.Department of PhysicsHarvard UniversityCambridgeUSA
  2. 2.ITAMP, Harvard-Smithsonian Center for AstrophysicsCambridgeUSA
  3. 3.Institut für Quantenoptik und Quanteninformation der Österreichischen Akademie der WissenschaftenInstitut für Theoretische Physik der Universität InnsbruckInnsbruckAustria
  4. 4.Departamento de Física Teórica IUniversidad ComplutenseMadridSpain
  5. 5.Institute for Theoretical Physics IIIUniversity of StuttgartStuttgartGermany
  6. 6.Midlands Ultracold Atom Research Centre (MUARC), School of Physics and AstronomyThe University of NottinghamNottinghamUK

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