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Quantum Spin Liquids,Density Matrix Renormalization Group, and Entanglement

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I will review recent work in our group using Density Matrix Renormalization Group (DMRG) to search for and study quantum spin liquid and topologically ordered states in two dimensional model Hamiltonians. This proves an efficient way to study these phases in semi-realistic situations.  I will try to draw lessons from several studies and theoretical considerations.