Unitary circuits for strongly correlated fermions
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 in a 9×9 and 6×6 fermionic lattice model to show the functioning of the approach. © 2010 The American Physical Society.
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- General Physics
- 03 Chemical Sciences
- 02 Physical Sciences
- 01 Mathematical Sciences
Citation
Published In
DOI
EISSN
ISSN
Publication Date
Volume
Issue
Related Subject Headings
- General Physics
- 03 Chemical Sciences
- 02 Physical Sciences
- 01 Mathematical Sciences