Infinite-dimensional-matrix product states, topology, and criticality

  • Datum: 13.05.2014
  • Uhrzeit: 12:30 - 12:30
  • Vortragende(r): Dr. Anne Ersbak Bang Nielsen, Max Planck Institut für Quantenoptik, Abt. Theorie
  • Raum: Herbert Walther Lecture Hall
  • Gastgeber: MPQ
"Strongly correlated quantum many-body systems display many fascinating phenomena, but they are difficult to describe due to the huge dimension of the involved Hilbert spaces. For this reason, models that can be treated fully or partially by analytical tools are valuable guides for understanding the physics underlying the phenomena. A prominent example is the fractional quantum Hall effect (FQHE), for which much information has been obtained by use of trial wave functions. In the talk, I will present a method to construct a quite broad class of many-body models, for which both the state and Hamiltonian are known analytically. One family of states within this class constitutes FQHE-like lattice states. The FQHE was originally discovered in semiconductor devices, but in the last few years much effort has been put into investigating the possibilities for obtaining FQHE-like states in lattice systems. One motivation for this is the perspectives for simulating FQHE physics under highly controllable conditions, e.g. in ultracold atoms or molecules in optical lattices. The typical strategy for obtaining FQHE-like lattice states is to mimic the solid state setting, but the above mentioned family of models provides an alternative. It is also possible to construct critical models, which allows us to study phase transitions."
Zur Redakteursansicht