Unitary circuits for strongly correlated fermions

Details Unitary circuits for strongly correlated fermions Unitary circuits for strongly correlated fermions

2009-05-05

arxiv.org/abs/0905.0669v3

Phys. Rev. A 81, 050303(R) (2010)

Physics

Quantum Physics

5 pages, 3 figures, numerical example added, small typographic errors corrected

Scientific paper

10.1103/PhysRevA.81.050303

We introduce a scheme for efficiently describing pure states of strongly correlated fermions in higher dimensions using unitary circuits featuring a causal cone. A local way of computing local expectation values is presented. We formulate a dynamical reordering scheme, corresponding to time-adaptive Jordan-Wigner transformation, that avoids nonlocal string operators. Primitives of such a reordering scheme are highlighted. Fermionic unitary circuits can be contracted with the same complexity as in the spin case. The scheme gives rise to a variational description of fermionic models not suffering from a sign problem. We present numerical examples on $9\times 9$ and $6\times 6$ fermionic lattice model to show the functioning of the approach.

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