Optimal Control for Time-Dependent Variational–Hemivariational Inequalities
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DOI: 10.1007/s40840-020-01042-2
Abstract: The present work is intended to investigate optimal control for time-dependent variational–hemivariational inequalities in which the constraint set depends on time. Based on the existence, uniqueness and boundedness of the solution to the inequality, we… read more here.
Keywords: control time; dependent variational; time; time dependent ... See more keywords
Gaussian time-dependent variational principle for the Bose-Hubbard model
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DOI: 10.1103/physrevb.100.094529
Abstract: We systematically extend Bogoliubov theory beyond the mean field approximation of the Bose-Hubbard model in the superfluid phase. Our approach is based on the time dependent variational principle applied to the family of all Gaussian… read more here.
Keywords: time; dependent variational; hubbard model; bose hubbard ... See more keywords
Time-dependent variational principle in matrix-product state manifolds: Pitfalls and potential
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DOI: 10.1103/physrevb.97.024307
Abstract: We study the applicability of the time-dependent variational principle in matrix-product state manifolds for the long time description of quantum interacting systems. By studying integrable and nonintegrable systems for which the long time dynamics are… read more here.
Keywords: matrix product; dependent variational; variational principle; time ... See more keywords
Unitary Dynamics of Strongly Interacting Bose Gases with the Time-Dependent Variational Monte Carlo Method in Continuous Space
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DOI: 10.1103/physrevx.7.031026
Abstract: We introduce the time-dependent variational Monte Carlo method for continuous-space Bose gases. Our approach is based on the systematic expansion of the many-body wave function in terms of multibody correlations and is essentially exact up… read more here.
Keywords: dependent variational; time dependent; monte carlo; variational monte ... See more keywords