Geometry and non-adiabatic response in quantum and classical systems

  title={Geometry and non-adiabatic response in quantum and classical systems},
  author={Michael H. Kolodrubetz and Dries Sels and Pankaj Mehta and Anatoli Polkovnikov},
  journal={arXiv: Quantum Gases},
In these lecture notes, partly based on a course taught at the Karpacz Winter School in March 2014, we explore the close connections between non-adiabatic response of a system with respect to macroscopic parameters and the geometry of quantum and classical states. We center our discussion around adiabatic gauge potentials, which are the generators of unitary basis transformations in quantum systems and generators of special canonical transformations in classical systems. In quantum systems… Expand
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