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Perturbations of ground states in weakly interacting quantum spin systems

2004; American Institute of Physics; Volume: 45; Issue: 6 Linguagem: Inglês

10.1063/1.1705718

1527-2427

Dmitry Yarotsky,

Quantum and electron transport phenomena

We consider a general weak bounded finite range perturbation of a general free quantum spin Hamiltonian on a lattice. We prove that if the free Hamiltonian has a nondegenerate ground state and a spectral gap, then the perturbation also has a ground state, and estimate the localization of the spectrum in the corresponding ground state representation.