Study of two-dimensional quantum many-body systems by an advanced algorithm of the density-matrix renormalization group method

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We study numerical methods to realize high-precision calculations of low-dimensional frustrated quantum many-body systems. We particularly focus on entanglement, which is an indicator of complexity of quantum states and governs the efficiency of the numerical approaches to quantum systems. We show that scaling properties and spatial profiles of entanglement can be controlled by applying an energy-scale deformation to the model Hamiltonian. Appearance of novel quantum phases in low-dimensional frustrated spin systems is also predicted.