n the context of quantum chemistry, theorists had developed a numerical approach to the ground state problem that is complementary to variational techniques. It works by relaxation of the ground state problem and yields a semidefinite program (SDP) for some few-particle correlation functions. I will explain, how this method can be adapted to work with large systems, e.g., in order to study condensed matter models in the thermodynamic limit. This new modification of the approach allows for a systematic balancing of the computation cost and the accuracy. It will be demonstrated for the XXZ model and the t-V Hubbard model of spinless fermions in one and two spatial dimensions and will be compared against other approaches. Ref: Phys. Rev. Lett. 108, 200404 (2012) |
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