Can translation invariant systems exhibit a Many-Body Localized phase?

De Roeck, Wojciech; Huveneers, François

De Roeck, Wojciech; Huveneers, François (2015), Can translation invariant systems exhibit a Many-Body Localized phase?, in Patrícia Gonçalves, Ana Jacinta Soares, From Particle Systems to Partial Differential Equations II Particle Systems and PDEs II, Braga, Portugal, December 2013, Springer : Berlin Heidelberg, p. 173-192. 10.1007/978-3-319-16637-7_5

Type

Communication / Conférence

External document link

https://arxiv.org/abs/1409.8054v1

Date

2015

Book title

From Particle Systems to Partial Differential Equations II Particle Systems and PDEs II, Braga, Portugal, December 2013

Book author

Patrícia Gonçalves, Ana Jacinta Soares

Publisher

Springer

Published in

Berlin Heidelberg

Paris

ISBN

978-3-319-16636-0

Pages

173-192

Abstract (EN)

We review some recent works related to the exploration of Many-Body Localization in the absence of quenched disorder. We stress that, for systems where not all eigenstates of the Hamiltonian are expected to be localized, as it is generically the case for translation invariant systems with short range interactions, some rare large ergodic spots constitute a possible mechanism for thermalization, even though such spots occur just as well in systems with strong quenched disorder, where all eigenstates are localized. Nevertheless, we show that there is a regime of asymptotic localization for some translation invariant Hamiltonians.

Subjects / Keywords

translation invariant systems; Many-Body Localized phase