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SUMMARY:From the 'particle in the box' to time crystals - the Floquet tool
 box at work
DTSTART:20250121T151500Z
DTEND:20250121T164500Z
DTSTAMP:20260410T195400Z
UID:indico-event-192@indico.physik.uni-bielefeld.de
DESCRIPTION:Speakers: Prof. Dr. Martin Holthaus\n\nThe Floquet approach to
  periodically time-dependent quantum systems\, providing an analog of the 
 Bloch states for crystal lattices\, has recently met with renewed interest
 . In first part of this colloquium I will give a brief introduction to thi
 s framework\, using multiphoton transitions of a periodically driven "part
 icle in a box" as a guiding example. The second part will be devoted to Fl
 oquet time crystals\, which have been heralded as a new paradigm in quantu
 m statistical mechanics. Employing the Bose-Hubbard dimer as a test case w
 hich can be investigated numerically without approximation\, I will argue 
 that such time crystals appear quite naturally in periodically driven many
 -body systems. The analysis sheds light on the validity of the mean-field 
 approximation under conditions such that the time-dependent nonlinear Gros
 s-Pitaevskii equation furnishes chaotic solutions\, indicating that even f
 ine details customarily associated with chaotic Hamiltonian systems can be
  resolved by many-body Schrödinger dynamics.\n\nhttps://indico.physik.uni
 -bielefeld.de/event/192/
LOCATION:H 6 (UHG)
URL:https://indico.physik.uni-bielefeld.de/event/192/
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