Status  Confirmed 
Seminar Series  SEMLPTHE 
Subjects  condmat.statmech 
Date  Friday 16 November 2018 
Time  11:00 
Institute  LPTHE 
Seminar Room  Bibliothèque 
Speaker's Last Name  Ruggiero 
Speaker's First Name  Paola 
Speaker's Email Address  
Speaker's Institution  SISSA Trieste 
Title  Conformal field theory on top of a breathing TonksGirardeau gas 
Abstract  Conformal field theory (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. Recently it was shown that the CFT methods can be extended to deal with such 1D situations [1,2]: the system’s inhomogeneity gets reabsorbed in the parameters of the theory, such as the metric, resulting in a CFT in curved space. 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 [3]. 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. Stéphan, J. Viti, P. Calabrese, SciPost Phys. 2, 002 (2017). [2] S. Murciano, P. Ruggiero, P. Calabrese, To appear. [3] P. Ruggiero, Y. Brun, J. Dubail, To appear. 
arXiv Preprint Number  
Comments  
Attachments 
To Generate a poster for this seminar : [ Postscript  PDF ]

[ English version ] 