Byrnes T, Recher P, Kim NY, Utsunomiya S, Yamamoto Y. Quantum simulator for the hubbard model with long-range coulomb interactions using surface acoustic waves.
PHYSICAL REVIEW LETTERS 2007;
99:016405. [PMID:
17678174 DOI:
10.1103/physrevlett.99.016405]
[Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/05/2006] [Indexed: 05/16/2023]
Abstract
An experimental scheme for a quantum simulator of strongly correlated electrons is proposed. Our scheme employs electrons confined in a two-dimensional electron gas in a GaAs/AlGaAs heterojunction. Two surface acoustic waves are then induced in the substrate, creating a two-dimensional "egg-carton" potential. The dynamics of the electrons in this potential are described by a Hubbard model with long-range Coulomb interactions. Estimates of the Hubbard parameters suggest that observations of quantum phase transition phenomena are within experimental reach.
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