Abstract
The extension of ab initio Monte Carlo methods to the study of excited states is a challenging problem at the forefront of present research in the field of computational techniques applied to the quantum many-body problem. The aim is to calculate excited states with similar accuracy to the one achieved in the study of the ground-state properties. We present a state of the art of such applications devoting special attention to the formalism behind the algorithms recently used: fixed-node diffusion Monte Carlo, released-node diffusion Monte Carlo, and methods for a concurrent evaluation of excited states based on a generalization of the transient estimates. As examples of these calculations, we present results on the structure of a vortex excitation and the well-known phonon-roton branch in superfluid 4He at zero temperature.
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© 1998 Springer-Verlag
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Boronat, J. (1998). Diffusion Monte Carlo for excited states: Application to liquid helium. In: Navarro, J., Polls, A. (eds) Microscopic Quantum Many-Body Theories and Their Applications. Lecture Notes in Physics, vol 510. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104531
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DOI: https://doi.org/10.1007/BFb0104531
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