Showing math-phShow all
3 papers · 1 filter
math-ph2026
Locality of KMS states for infinite fermionic lattice systems
Lennart Becker
We study how thermal equilibrium states of infinite fermionic lattices respond to perturbations of the Hamiltonian. Our main result concerns extensive perturbations of a chosen KMS…
math-ph2025
The generalized adiabatic theorem for extended lattice systems
Lennart Becker, Stefan Teufel, Marius Wesle
We prove an adiabatic theorem for infinitely extended lattice fermion systems with gapped ground states, allowing perturbations that may close the gap. The Heisenberg dynamics on t…
math-ph2025
Automorphic equivalence within gapped phases of infinitely extended fermion systems
Lennart Becker, Stefan Teufel, Marius Wesle
We prove automorphic equivalence within gapped phases of infinitely extended lattice fermion systems (as well as spin systems) with super-polynomially decaying interactions. As a s…