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math-ph2014
Generalized Prüfer variables for perturbations of Jacobi and CMV matrices
Milivoje Lukic, Darren C. Ong
Prüfer variables are a standard tool in spectral theory, developed originally for perturbations of the free Schrödinger operator. They were generalized by Kiselev, Remling, and Sim…
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…