21ème conférence Claude Itzykson - Dynamics, Disorder and Localization in Interacting Quantum Many Body Systems

Session

Morning Session 2

13 juin 2016, 12:15

26. Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas

Simone Warzel (Technical University of Munich)

13/06/2016 12:15

Invited talk

In view of the woefully short list of rigorous results on disordered systems with interaction, limiting or integrable model systems present a testing ground for numerical works, conjectures and ideas. In the bosonic case, the limiting case of hard-core repulsive interaction is such an example: in the lattice set-up this amounts to studying the XY-spin Hamiltonian with a random magnetic field,...

24. Many-body localization and global symmetries

Romain Vasseur (University of California Berkeley)

14/06/2016 11:30

Invited talk

In this talk, I will describe some general constraints on the existence of many-body localized (MBL) phases in the presence of global symmetries. I will start by considering the example of the random-bond XXZ spin chain and argue using real space renormalization group techniques that interactions drive the system into a many-body localized spin glass phase with spontaneously broken...

31. Many-Body Localization Characterized from a One-Particle Perspective

Jens Bardarson (MPI-PKS, Dresden)

14/06/2016 12:15

Invited talk

We show that the one-particle density matrix ρ can be used to characterize the interaction-driven many-body localization transition in closed fermionic systems. The natural orbitals (the eigenstates of ρ) are localized in the many-body localized phase and spread out when one enters the delocalized phase, while the occupation spectrum (the set of eigenvalues of ρ) reveals the distinctive...

19. Thermalization and many-body localization in systems under dynamic nuclear polarization

Alberto Rosso (CNRS and LPTMS)

15/06/2016 11:30

Invited talk

A generic isolated quantum system has two possible fates at long times: it thermalizes or it remains many-body localized close to its initial state. So far only few systems showing experimentally relevant consequences of many-body localization have been reported in cold atoms and in trapped ions. In this talk, we show that the phenomenon {\em is} relevant in quantum magnets, and we discuss...

30. Probing many-body localized phase and delocalization transition with matrix elements

Maksym Serbyn (University of California Berkeley)

15/06/2016 12:15

Invited talk

Many body localization allows quantum systems to escape thermalization via emergence of extensive number of conserved quantities. I will demonstrate how the breakdown of local conserved quantities allows to probe the delocalization transition. Using statistics of matrix elements of local operators, I will define an analogue of many-body Thouless conductance which probes the response of the...