Geodesic
Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk
Forum of Mathematics, Sigma, Tome 10 (2022)

Voir la notice de l'article provenant de la source Cambridge University Press

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 Gelfand–Naimark–Segal 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. 
@article{10_1017_fms_2021_80,
     author = {Joscha Henheik and Stefan Teufel},
     title = {Adiabatic theorem in the thermodynamic limit: {Systems} with a gap in the bulk},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {10},
     year = {2022},
     doi = {10.1017/fms.2021.80},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2021.80/}
}
TY  - JOUR
AU  - Joscha Henheik
AU  - Stefan Teufel
TI  - Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk
JO  - Forum of Mathematics, Sigma
PY  - 2022
VL  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1017/fms.2021.80/
DO  - 10.1017/fms.2021.80
LA  - en
ID  - 10_1017_fms_2021_80
ER  - 
%0 Journal Article
%A Joscha Henheik
%A Stefan Teufel
%T Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk
%J Forum of Mathematics, Sigma
%D 2022
%V 10
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1017/fms.2021.80/
%R 10.1017/fms.2021.80
%G en
%F 10_1017_fms_2021_80
Joscha Henheik; Stefan Teufel. Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk. Forum of Mathematics, Sigma, Tome 10 (2022). doi: 10.1017/fms.2021.80

Cité par Sources :