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Open Quantum Systems Decoherence Quantum Simulation

Optimal multi-configuration approximation of an N-fermion wave function

arXiv
Authors: J. M. Zhang, Marcus Kollar

Year

2013

Paper ID

32844

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

We propose a simple iterative algorithm to construct the optimal multi-configuration approximation of an N-fermion wave function. That is, Mgeq N single-particle orbitals are sought iteratively so that the projection of the given wave function in the CMN-dimensional configuration subspace is maximized. The algorithm has a monotonic convergence property and can be easily parallelized. The significance of the algorithm on the study of entanglement in a multi-fermion system and its implication on the multi-configuration time-dependent Hartree-Fock (MCTDHF) are discussed. The ground state and real-time dynamics of spinless fermions with nearest-neighbor interactions are studied using this algorithm, discussing several subtleties.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We propose a simple iterative algorithm to construct the optimal multi-configuration approximation of an N-fermion wave function.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1309.1848 [2] arXiv https://arxiv.org/abs/1309.1848 [3] Publisher https://arxiv.org/abs/1309.1848

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