Digital quantum simulation with Rydberg atoms

Digital quantum simulation with Rydberg atoms 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Digital quantum simulation with Rydberg atoms

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Publisher
Springer US
Copyright
Copyright © 2011 by Springer Science+Business Media, LLC
Subject
Physics; Quantum Physics; Computer Science, general; Mathematics, general; Theoretical, Mathematical and Computational Physics; Physics, general
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-011-0303-5
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Quantum Information ProcessingSpringer Journals

Published: Sep 24, 2011

References

  • An open-system quantum simulator with trapped ions
    Barreiro, J.T.; Müller, M.; Schindler, P.; Nigg, D.; Monz, T.; Chwalla, M.; Hennrich, M.; Roos, C.F.; Zoller, P.; Blatt, R.
  • Quantum complexity theory
    Bernstein, E.; Vazirani, U.
  • Simulating a quantum magnet with trapped ions
    Friedenauer, A.; Schmitz, H.; Glueckert, J.T.; Porras, D.; Schaetz, T.
  • Quantum phase transition from a superfluid to a mott insulator in a gas of ultracold atoms
    Greiner, M.; Mandel, O.; Esslinger, T.W.; Hänsch, T.; Bloch, I.
  • A Mott insulator of Fermionic atoms in an optical lattice
    Jördens, R.; Strohmaier, N.; Günter, K.; Moritz, H.; Esslinger, T.
  • Quantum simulation of frustrated Ising spins with trapped ions
    Kim, K.; Chang, M.S.; Korenblit, S.; Islam, R.; Edwards, E.E.; Freericks, J.K.; Lin, G.D.; Duan, L.M.; Monroe, C.

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