A variational method based on weighted graph states

Alet F; Beazley D M; Clare F; Daley A J; Galassi M Theiler J Jungman G Gough B Davies J Priedhorsky R Booth M Rossi F; Hans J Briegel; Hein M; Henkel M; Its A R; Latorre J I; Latorre J I; Lehoucq R Maschhoff K Sorensen D Yang C; Manmana S R Muramatsu A Noack R M; Moré J J Thuente D J; Nelder J A; Nocedal J; Oliphant T E; Peschel I; Peterson P; Pfeuty P; Powell M J D; Prokof'ev N V; Puzio R; Sachdev S; Schoen F; Schuch N Wolf M M Verstraete F Cirac J I; Sibson R; Simon Anders; Takahashi M; Trefethen L N; Troyer M; van Rossum G; Verstraete F Cirac J I; Vojta M; Wolf M M Verstraete F Hastings M B Cirac J I; Wolfgang Dür

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A variational method based on weighted graph states

Abstract

In a recent article [Phys. Rev. Lett. 97 (2006), 107206], we have presented a class of states which is suitable as a variational set to find ground states in spin systems of arbitrary spatial dimension and with long-range entanglement. Here, we continue the exposition of our technique, extend from spin 1/2 to higher spins and use the boson Hubbard model as a non-trivial example to demonstrate our scheme.Comment: 36 pages, 13 figure

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