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SUMMARY:Serena Cenatiempo\, "SHORT Course: Bogoliubov Theory for dilute Bo
 se gases"
DTSTART;VALUE=DATE-TIME:20260921T070000Z
DTEND;VALUE=DATE-TIME:20261009T150000Z
DTSTAMP;VALUE=DATE-TIME:20260815T002800Z
UID:indico-event-901@indico.gssi.it
CONTACT:serena.cenatiempo@gssi.it
DESCRIPTION:LecturerSerena Cenatiempo serena.cenatiempo@gssi.itTimetable a
 nd workloadLectures: 16 hoursPeriod: September/October 2026. Course Descr
 iptionQuantum statistical mechanics studies quantum systems composed of a 
 large number of particles\, with the aim of understanding their macroscopi
 c behavior starting from their fundamental microscopic description. While
  in the absence of interactions the properties of many-body systems can be
  deduced from the single-particle Hamiltonian\, the analysis of their evol
 ution and thermodynamic properties becomes significantly more complex when
  interactions are present. In many situations\, however\, it is sufficient
  to obtain an effective description of the many-body system—providing an
  approximation of its evolution or equilibrium properties in certain regim
 es and/or up to specific time scales.In this course\, we will focus on a p
 aradigmatic phenomenon in which collective macroscopic behavior emerges fr
 om a many-body system: Bose–Einstein condensation. We will discuss how t
 he nonlinear Hartree and Gross–Pitaevskii equations arise as effective d
 escriptions for the dynamics of a large number of particles exhibiting con
 densation. Time permitting\, we will also address static problems and expl
 ain how quantum fluctuations around the condensate can be accurately descr
 ibed by the so-called Bogoliubov theory in relevant scaling regimes.Course
  requirementBasic elements of the theory of linear operators in Hilbert sp
 aces. The knowledge of the formalism Quantum Mechanics may be helpful. C
 onnections with other coursesIntroduction to the non linear Schrödinger E
 quationDynamics of Open Quantum Systems\n\nhttps://indico.gssi.it/event/90
 1/
LOCATION:GSSI
URL:https://indico.gssi.it/event/901/
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