We provide a theoretical set up for studying the dynamics in quantum spin chain models with inhomogeneous two-body interaction. We frame in our formalism models that can be mapped into a fermion system with a quadratic Hamiltonian. Local and global existence results of the dynamics are discussed.
Time evolution of a Gaussian class of quasi-distribution functions under quadratic Hamiltonian
The effect of linear terms in a quadratic Hamiltonian
Linear growth of the entanglement entropy for quadratic Hamiltonians and arbitrary initial states
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