Hamiltonian tomography for many-body systems

We show that a generic many-body Hamiltonian can be uniquely reconstructed from a single pair of initial-final states under the unitary time evolution. Interesting it is, this method is not practical due to its high complexity. We then propose a practical method for Hamiltonian reconstruction from multiple pairs of initial-final states. The stability of this method is mathematically proved and numerically verified.

This work is joint with Liujun Zou and Timothy Hsieh.

Event Type: 
Seminar
Scientific Area(s): 
Event Date: 
Mercredi, Novembre 20, 2019 - 16:00 to 17:30
Location: 
Time Room
Room #: 
294