Status  Confirmed 
Seminar Series  IPHTPHM 
Subjects  mathph 
Date  Monday 12 November 2018 
Time  11:00 
Institute  IPHT 
Seminar Room  Salle Claude Itzykson, Bât. 774 
Speaker's Last Name  Paola Ruggiero 
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Title  Conformal field theory on top of a breathing TonksGirardeau gas 
Abstract  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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