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- W2979907995 abstract "We consider the simplest inhomogeneous Matrix-Product-State for an open chain of N quantum spins that involves only two angles per site and two angles per bond with the following direct physical meanings. The two angles associated to the site $k$ are the two Bloch angles that parametrize the two orthonormal eigenvectors of the reduced density matrix $rho_k$ of the spin $k$ alone. The two angles associated to the bond $(k,k+1)$ parametrize the entanglement properties of the Schmidt decomposition across the bond $(k,k+1)$. Explicit results are given for the reduced density matrix $rho_{k,k+1}$ of two consecutive sites that is needed to evaluate the energy of two-body Hamiltonians, and for the reduced density matrix $rho_{k,k+r}$ of two sites at distance $r$ that is needed to evaluate the spin-spin correlations at distance $r$. The global structure of the MPS manifold as parametrized by these $(4N-2)$ angles is then characterized by its explicit Riemann metric. Finally, the generalizations to any tree-like structure without loops and to the chain with periodic boundary conditions are discussed." @default.
- W2979907995 created "2019-10-18" @default.
- W2979907995 creator A5090565816 @default.
- W2979907995 date "2020-02-21" @default.
- W2979907995 modified "2023-10-04" @default.
- W2979907995 title "Explicit properties of the simplest inhomogeneous matrix-product-state including the Riemann metric of the MPS manifold" @default.
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- W2979907995 doi "https://doi.org/10.1088/1742-5468/ab6b1b" @default.
- W2979907995 hasPublicationYear "2020" @default.
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