Statut  Confirmé 
Série  IPHTPHM 
Domaines  mathph 
Date  Lundi 12 Novembre 2018 
Heure  11:00 
Institut  IPHT 
Salle  Salle Claude Itzykson, Bât. 774 
Nom de l'orateur  Paola Ruggiero 
Prenom de l'orateur  
Addresse email de l'orateur  
Institution de l'orateur  
Titre  Conformal field theory on top of a breathing TonksGirardeau gas 
Résumé  CFT has been extremely successful in describing universal effects in critical onedimensional (1D) systems, in situations in which the bulk is uniform. However, in many experimental contexts, such as quantum gases in trapping potentials and in several outofequilibrium situations, systems are strongly inhomogeneous. \par Recently it was shown that the CFT methods can be extended to deal with such 1D situations: the system's inhomogeneity gets reabsorbed in the parameters of the theory, such as the metric, resulting in a CFT in curved space. \par Here in particular we make use of CFT in curved spacetime to deal with the outofequilibrium situation generated by a frequency quench in a TonksGirardeau gas in a harmonic trap. \par We show compatibility with known exact result and use this new method to compute new quantities, not explicitly known by means of other methods, such as the dynamical fermionic propagator and the one particle density matrix at different times. \\ \\ REFERENCES: \\ (1) J. Dubail, JM. StÃ©phan, J. Viti, P. Calabrese, SciPost Phys. 2, 002 (2017). \\ (2) J. Dubail, JM. StÃ©phan, P. Calabrese, SciPost Phys. 3, 019 (2017). \\ (3) P. Ruggiero, Y. Brun, J. Dubail, To appear. \\ (4) S. Murciano, P. Ruggiero, P. Calabrese, To appear. 
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