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SUMMARY:Localisation and transport in many-body two-dimensional quasiperio
 dic systems - Antonio Strkalj\, University of Cambridge
DTSTART:20230522T133000Z
DTEND:20230522T140000Z
UID:TALK201247@talks.cam.ac.uk
CONTACT:Dr M. Simoncelli
DESCRIPTION:Many-body localisation (MBL) provides a mechanism to avoid the
 rmalisation in interacting systems. It is well understood that the MBL pha
 se can exist in closed one-dimensional systems subjected to random disorde
 r\, quasiperiodic modulations\, or homogeneous electric fields. However\, 
 the fate of MBL in higher dimensions remains unclear. Although some experi
 ments on randomly disordered two-dimensional (2D) systems observe a stable
  MBL phase on intermediate time scales\, recent theoretical works show tha
 t the phenomenon cannot persist forever and in a thermodynamic limit due t
 o the rare regions and the avalanche instability. On the other hand\, quas
 iperiodic systems do not host rare regions\, and the avalanche instability
  is avoided\; yet\, the existence of an MBL phase in these systems remains
  largely unexplored. In this talk\, I will discuss the localisation proper
 ties of the many-body 2D Aubry-André quasiperiodic model. By studying the
  out-of-equilibrium dynamics of the interacting model\, I will show that q
 uasiperiodic systems can host a stable localised phase on experimentally r
 elevant timescales. The numerical calculations show that this nonergodic p
 hase remains stable upon scaling the system size\, which hints towards its
  stability in the thermodynamic limit\, and it is in stark contrast to ran
 dom disorder. Furthermore\, I will discuss how deterministic lines of weak
  potential\, which appear in the 2D Aubry-André model\, support sub-dimen
 sional transport while keeping the localised parts of the system unchanged
 . These findings are of direct experimental relevance and can be tested us
 ing state-of-the-art cold atomic systems.\n
LOCATION:Cavendish Laboratory\, Small Lecture Theatre
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