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Phys. Rev. Lett. 101, 250601 (2008) [4 pages]

Quantum Critical Behavior in Strongly Interacting Rydberg Gases

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Hendrik Weimer1,*, Robert Löw2, Tilman Pfau2, and Hans Peter Büchler1
1Institute of Theoretical Physics III, Universität Stuttgart, 70550 Stuttgart, Germany
25. Physikalisches Institut, Universität Stuttgart, 70550 Stuttgart, Germany

Received 23 June 2008; revised 2 October 2008; published 15 December 2008

We study the appearance of correlated many-body phenomena in an ensemble of atoms driven resonantly into a strongly interacting Rydberg state. The ground state of the Hamiltonian describing the driven system exhibits a second order quantum phase transition. We derive the critical theory for the quantum phase transition and show that it describes the properties of the driven Rydberg system in the saturated regime. We find that the suppression of Rydberg excitations known as blockade phenomena exhibits an algebraic scaling law with a universal exponent.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.250601
DOI:
10.1103/PhysRevLett.101.250601
PACS:
64.70.Tg, 02.70.−c, 32.80.Ee, 42.50.Ct

*hweimer@itp3.uni-stuttgart.de