Short time evolved wave functions for solving quantum many-body problems

Orion Ciftja; Siu A. Chin

doi:10.1103/physrevb.68.134510

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Short time evolved wave functions for solving quantum many-body problems

Orion Ciftja·Siu A. Chin

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Abstract

The exact ground state of a strongly interacting quantum many-body system can be obtained by evolving a trial state with finite overlap with the ground state to infinite imaginary time. In this work, we use a newly discovered fourth order positive factorization scheme which requires knowing both the potential and its gradients. We show that the resultaing fourth order wave function alone, without further iterations, gives an excellent description of strongly interacting quantum systems such as liquid 4He, comparable to the best variational results in the literature.

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Orion Ciftja, Siu A. Chin. 2003-06-03. Short time evolved wave functions for solving quantum many-body problems. https://doi.org/10.1103/physrevb.68.134510

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