BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Giovanna Marcelli (Aalborg University\, Denmark)
DTSTART:20231030T131500Z
DTEND:20231030T141500Z
DTSTAMP:20260423T021302Z
UID:MAS-MP/63
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MAS-MP/63/">
 Adiabatic evolution of low-temperature many-body quantum systems</a>\nby G
 iovanna Marcelli (Aalborg University\, Denmark) as part of Munich-Copenhag
 en-Santiago Mathematical Physics seminar\n\n\nAbstract\nWe consider finite
 -range\, many-body fermionic lattice models and we study the evolution of 
 their thermal equilibrium state after introducing a weak and slowly varyin
 g time-dependent perturbation. Under suitable assumptions on the external 
 driving\, we derive a representation for the average of the evolution of l
 ocal observables via a convergent expansion in the perturbation\, for smal
 l enough temperatures. Convergence holds for a range of parameters that is
  uniform in the size of the system. Under a spectral gap assumption on the
  unperturbed Hamiltonian\, convergence is also uniform in temperature. As 
 an application\, our expansion allows us to prove closeness of the time-ev
 olved state to the instantaneous Gibbs state of the perturbed system\, in 
 the sense of expectation of local observables\, at zero and at small tempe
 ratures. Our strategy is based on a rigorous version of the Wick rotation 
 and fermionic cluster expansion.\nThis talk is based on a joint work with 
 R. L. Greenblatt\, M. Lange and M. Porta.\n
LOCATION:https://researchseminars.org/talk/MAS-MP/63/
END:VEVENT
END:VCALENDAR