Complexity and geometry of quantum state manifolds

ORAL

Abstract

A ubiquitous notion in quantum physics is a wavefunction manifold. Examples include the ground state of a parametrized Hamiltonian, the Hilbert space trajectory generated by time evolution, etc. In this talk, we will discuss an efficient description of the Hilbert space spanned by such manifolds. In particular, we will show that the effective size of this Hilbert space is a geometric quantity and is related to its information-theoretic complexity. We also discuss its implication on topologically nontrivial manifolds.

*Work supported by LANL LDRD and ERC DM 321031

–

Presenters

  • Zhoushen Huang

    • Los Alamos National Laboratory
    • Institute for Materials Science, Los Alamos National Laboratory

Authors

  • Zhoushen Huang

    • Los Alamos National Laboratory
    • Institute for Materials Science, Los Alamos National Laboratory

  • Alexander Balatsky

    • NORDITA
    • Institute for Materials Science, Los Alamos National Laboratory
    • Nordita
    • Los Alamos Natl Lab
    • Nordita, KTH Royal Institute of Technology and Stockholm University; Institute for Materials Science, Los Alamos National Laboratory; Department of Physics, University of Conn
    • Instittute for Materials Science, Los Alamos National Laboratory
    • Institute for Materials Science, Los Alamos National Laboratory/Nordita/University of Connecticut