Can translation invariant systems exhibit a Many-Body Localized phase?
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
TypeCommunication / Conférence
External document linkhttps://arxiv.org/abs/1409.8054v1
Book titleFrom Particle Systems to Partial Differential Equations II Particle Systems and PDEs II, Braga, Portugal, December 2013
Book authorPatrícia Gonçalves, Ana Jacinta Soares
MetadataShow full item record
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 / Keywordstranslation invariant systems; Many-Body Localized phase
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Effective Hamiltonians, prethermalization, and slow energy absorption in periodically driven many-body systems Huveneers, François; Abanin, Dmitry A.; De Roeck, Wojciech; Wen-Wei, Ho (2017) Article accepté pour publication ou publié