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SUMMARY:Emergent Geometry in Quantum Matter
DTSTART:20260429T130000Z
DTEND:20260429T140000Z
DTSTAMP:20260610T204900Z
UID:indico-event-2191@indico.lip.pt
CONTACT:pbras@lip.pt\;psilva@uc.pt
DESCRIPTION:Speakers: Giandomenico Palumbo (CFisUC)\n\nGeometry plays a ce
 ntral role in modern physics. For instance\, in general relativity\, geome
 try is not a background structure but the dynamical manifestation of gravi
 ty itself. In condensed matter systems\, however\, geometry can appear in 
 a different and more unexpected way: it can emerge as a collective propert
 y of quantum many-body states\, without being a fundamental input of the t
 heory.In this talk\, I will discuss concrete realisations of emergent geom
 etry in quantum matter. I will first focus on the fractional quantum Hall 
 effect\, where strong interactions give rise to an intrinsic geometric deg
 ree of freedom. This structure is naturally connected to non-commutative g
 eometry and supports collective excitations with the character of a spin-2
  “graviton”-like mode.I will then turn to band theory\, where geometry
  arises already at the single-particle level. The quantum geometric tensor
  endows the space of quantum states with a notion of distance\, known as q
 uantum metric\, revealing a hidden geometric structure in Bloch bands that
  has direct physical consequences. A central theme of my talk will be the 
 distinction between geometry as a fundamental or externally imposed struct
 ure (as in gravity or lattice deformations in quantum materials) and geome
 try as an emergent feature of quantum states.\n\nhttps://indico.lip.pt/eve
 nt/2191/
LOCATION:Sala de Conferências (Departamento de Física FCTUC)
URL:https://indico.lip.pt/event/2191/
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