most citedQuantum Dynamics of Periodic and Limit-Periodic Jacobi and Block Jacobi Matrices with Applications to Some Quantum Many Body Problems

48 citations · 77 across the 6 of their papers we have counts for

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math-ph2014★ 23 cited

New Anomalous Lieb-Robinson Bounds in Quasi-Periodic XY Chains

David Damanik, Marius Lemm, Milivoje Lukic +1

We announce and sketch the rigorous proof of a new kind of anomalous (or sub-ballistic) Lieb-Robinson bound for an isotropic XY chain in a quasi-periodic transversal magnetic field…

math-ph2014★ 48 cited

Quantum Dynamics of Periodic and Limit-Periodic Jacobi and Block Jacobi Matrices with Applications to Some Quantum Many Body Problems

David Damanik, Milivoje Lukic, William Yessen

We investigate quantum dynamics with the underlying Hamiltonian being a Jacobi or a block Jacobi matrix with the diagonal and the off-diagonal terms modulated by a periodic or a li…