Berlin 2014 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 2: Quanten-Information II

MP 2.1: Talk

Monday, March 17, 2014, 16:30–16:50, SPA SR125

Tomography beyond observable phenomena — •Adrian Steffens, Carlos Riofrío, Robert Hübener, and Jens Eisert — Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Germany

Recent advances in the tomography of one dimensional quantum fields make it possible to reconstruct all n-point functions from lowest order correlations provided that certain requirements are fulfilled [''Wick's theorem for matrix product states'', R. Hübener, A.Mari, J. Eisert, Phys. Rev. Lett. 110, 040401 (2013)]. The algorithms employed in the tomographic process even allow to extract the Hamiltonian behind the observed correlations, leading to a picture of a finite dimensional system interacting with the observed field. We will demonstrate---using the example of the Lieb-Liniger model---how structures of another, underlying model can be recovered from the correlations. Such a resulting model can be useful if, for example, not all phenomena or particles of a model are accessible to measurement or to `give back' details to an effective model.