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• W2070162907 abstract "We introduce a numerical algorithm to simulate the time evolution of a matrix product state under a long-ranged Hamiltonian. In the effectively one-dimensional representation of a system by matrix product states, long-ranged interactions are necessary to simulate not just many physical interactions but also higher-dimensional problems with short-ranged interactions. Since our method overcomes the restriction to short-ranged Hamiltonians of most existing methods, it proves particularly useful for studying the dynamics of both power-law interacting one-dimensional systems, such as Coulombic and dipolar systems, and quasi two-dimensional systems, such as strips or cylinders. First, we benchmark the method by verifying a long-standing theoretical prediction for the dynamical correlation functions of the Haldane-Shastry model. Second, we simulate the time evolution of an expanding cloud of particles in the two-dimensional Bose-Hubbard model, a subject of several recent experiments." @default.
• W2070162907 created "2016-06-24" @default.
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• W2070162907 date "2015-04-07" @default.
• W2070162907 modified "2023-10-09" @default.
• W2070162907 title "Time-evolving a matrix product state with long-ranged interactions" @default.
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• W2070162907 doi "https://doi.org/10.1103/physrevb.91.165112" @default.
• W2070162907 hasPublicationYear "2015" @default.
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