Loschmidt-amplitude wave function spectroscopy and the physics of dynamically driven phase transitions

Physical review. B./Physical review. B, vol. 101

Abstract

We introduce the Loschmidt amplitude as a powerful tool to perform spectroscopy of generic many-body wave functions and use it to interrogate the wave function obtained after ramping the transverse field quantum Ising model through its quantum critical point. Previous results are confirmed and a more complete understanding of the population of defects and of the effects of magnon-magnon interaction or finite-size corrections is obtained. The influence of quantum coherence is clarified.

Authors 3

1. Dante Marvin Kennes Aachen Institut für Theorie der Statistischen Physik

   RWTH Aachen University · Jülich Aachen Research Alliance · Max Planck Institute for the Structure and Dynamics of Matter · Center for Free-Electron Laser Science

   Affiliation as printed

   Institut für Theorie der Statistischen Physik, RWTH Aachen University and JARA-Fundamentals of Future Information Technology, 52056 Aachen, Germany

   Max Planck Institute for the Structure and Dynamics of Matter, Center for Free Electron Laser Science, 22761 Hamburg, Germany

2. Christoph Karrasch

   Technische Universität Braunschweig

   Affiliation as printed

   Technische Universität Braunschweig, Institut für Mathematische Physik, Mendelssohnstrae 3, 38106 Braunschweig, Germany

3. Andrew J. Millis

   Flatiron Institute · Columbia University

   Affiliation as printed

   Center for Computational Quantum Physics, Flatiron Institute, 162 5th Avenue, New York, New York 10010, USA

   Department of Physics, Columbia University, 538 West 120th Street, New York, New York 10027, USA