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SUMMARY:Nonlinear breathers with crystalline symmetries - Frank Schindler\
 , Imperial College London
DTSTART:20231102T140000Z
DTEND:20231102T150000Z
UID:TALK204001@talks.cam.ac.uk
CONTACT:Gaurav
DESCRIPTION:Nonlinear lattice models can support ``discrete breather'' exc
 itations that stay localized in space for all time. By contrast\, the loca
 lized Wannier states of linear lattice models are dynamically unstable. Ne
 vertheless\, symmetric and exponentially localized Wannier states are a ce
 ntral tool in the classification of band structures with crystalline symme
 tries. Moreover\, the quantized transport observed in nonlinear Thouless p
 umps relies on the fact that -- at least in a specific model -- discrete b
 reathers recover Wannier states in the limit of vanishing nonlinearity. In
  my talk\, I will explain a simple formalism to analytically predict the n
 onlinear breather spectrum\, center of mass and symmetry representations\,
  and apply this to nonlinear generalizations of the Su-Schrieffer-Heeger c
 hain and the breathing kagome lattice.
LOCATION:TCM Seminar Room
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