Unitary circuits for strongly correlated fermions
Por:
Pineda C., Barthel T., Eisert J.
Publicada:
1 may 2010
Categoría:
Atomic and Molecular Physics, and Optics
Resumen:
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 x 9 and 6 x 6 fermionic lattice model to show the functioning of the approach.
Filiaciones:
Pineda C.:
Univ Nacl Autonoma Mexico, Inst Fis, Mexico City 01000, DF, Mexico
Barthel T.:
Institut für Physik und Astronomie, University of Potsdam, D-14476 Potsdam, Germany
Eisert J.:
Institut für Physik und Astronomie, University of Potsdam, D-14476 Potsdam, Germany
Blackett Laboratory, Imperial College London, London SW7 2BW, United Kingdom
Institute for Advanced Study Berlin, D-14193 Berlin, Germany
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