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math-ph2025
Pure gapped ground states of spin chains are short-range entangled
Wojciech De Roeck, Martin Fraas, Bruno de O. Carvalho
We consider spin chains with a finite range Hamiltonian. For reasons of simplicity, the chain is taken to be infinitely long. A ground state is said to be a unique gapped ground st…
math-ph2025
Gaussian filters in quantum lattice systems: Applications to spectral flow, local perturbations, clustering, and the quantum Hall effect
Sven Bachmann, Zhiqian, Du +2
We consider the locality and spectral properties of the smearing \[ τ_f(A) = \int_{-\infty}^\infty dt \, f(t) \, τ_t(A) \] when applied to the dynamics of quantum spin system…