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Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk
arXiv
Authors: Joscha Henheik, Stefan Teufel
Year
2020
Paper ID
412
Status
Preprint
Abstract Read
~2 min
Abstract Words
86
Citations
N/A
Abstract
We prove a generalised super-adiabatic theorem for extended fermionic systems assuming a spectral gap only in the bulk. More precisely, we assume that the infinite system has a unique ground state and that the corresponding GNS-Hamiltonian has a spectral gap above its eigenvalue zero. Moreover, we show that a similar adiabatic theorem also holds in the bulk of finite systems up to errors that vanish faster than any inverse power of the system size, although the corresponding finite volume Hamiltonians need not have a spectral gap.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We prove a generalised super-adiabatic theorem for extended fermionic systems assuming a spectral gap only in the bulk.
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