Asymptotic quantum many-body localization from thermal disorder

Huveneers, François; De Roeck, Wojciech

Huveneers, François; De Roeck, Wojciech (2014), Asymptotic quantum many-body localization from thermal disorder, Communications in Mathematical Physics, 332, 3, p. 1017-1082. http://dx.doi.org/10.1007/s00220-014-2116-8

Type

Article accepté pour publication ou publié

External document link

http://fr.arxiv.org/abs/1308.6263

Date

2014

Journal name

Communications in Mathematical Physics

Volume

332

Number

Publisher

Springer

Pages

1017-1082

Abstract (EN)

We consider a quantum lattice system with infinite-dimensional on-site Hilbert space, very similar to the Bose–Hubbard model. We investigate many-body localization in this model, induced by thermal fluctuations rather than disorder in the Hamiltonian. We provide evidence that the Green–Kubo conductivity κ(β), defined as the time-integrated current autocorrelation function, decays faster than any polynomial in the inverse temperature β as β→0 . More precisely, we define approximations κτ(β) to κ(β) by integrating the current-current autocorrelation function up to a large but finite time τ and we rigorously show that β−nκβ−m(β) vanishes as β→0 , for any n,m∈N such that m−n is sufficiently large.

Subjects / Keywords

Hilbert space; thermal conductivity