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Quantification of entanglement entropy in helium by the Schmidt-Slater decomposition method (1404.5287v2)
Published 21 Apr 2014 in quant-ph, cs.IT, math.IT, physics.atom-ph, and physics.chem-ph
Abstract: In this work, we present an investigation on the spatial entanglement entropies in the helium atom by using highly correlated Hylleraas functions to represent the S-wave states. Singlet-spin 1sns 1Se states (with n = 1 to 6) and triplet-spin 1sns 3Se states (with n = 2 to 6) are investigated. As a measure on the spatial entanglement, von Neumann entropy and linear entropy are calculated. Furthermore, we apply the Schmidt-Slater decomposition method on the two-electron wave functions, and obtain eigenvalues of the one-particle reduced density matrix, from which the linear entropy and von Neumann entropy can be determined.