Efficient impurity-bath trial states from superposed Slater determinants
نویسندگان
چکیده
The representation of ground states fermionic quantum impurity problems as superpositions Gaussian has recently been given a rigorous mathematical foundation [S. Bravyi and D. Gosset, Commun. Math. Phys. 356, 451 (2017)]. It is natural to ask how many parameters are required for an efficient variational scheme based on this representation. An upper bound $O({N}^{2})$, where $N$ the system size, which corresponds number needed specify arbitrary state. We provide alternative representation, with more favorable scaling, only requiring $O(N)$ parameters, that we illustrate interacting resonant-level model. achieve reduction by associating mean-field-like parent Hamiltonians individual terms in superposition, using physical insight retain most relevant channels each Hamiltonian. benchmark our ansatz against numerical renormalization group, compare results other schemes similar nature ours. Apart from ground-state energy, also study spectrum covariance matrix---a very stringent measure accuracy. Our approach outperforms some existing remains quantitatively accurate numerically challenging near-critical regime.
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2021
ISSN: ['1098-0121', '1550-235X', '1538-4489']
DOI: https://doi.org/10.1103/physrevb.104.195136