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Lieb-Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems

Lieb-Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems

We prove Lieb-Robinson bounds for a general class of lattice fermion systems. By making use of a suitable conditional expectation onto subalgebras of the CAR algebra, we can apply the Lieb-Robinson bounds much in the same way as for quantum spin systems. We preview how to obtain the spectral flow …