Abstract
We propose a method to evaluate parameters in the Hamiltonian of the Ising chain under site-dependent transverse fields, with a proviso that we can control and measure one of the edge spins only. We evaluate the eigenvalues of the Hamiltonian and the time-evoultion operator exactly for a three-spin chain, from which we obtain the expectation values of σx of the first spin. The parameters are found from the peak positions of the Fourier transform of the expectation value. There are four assumptions in our method, which are mild enough to be satisfied in many physical systems.
Original language | English |
---|---|
Article number | 044002 |
Journal | Journal of the Physical Society of Japan |
Volume | 80 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2011 Apr |
Externally published | Yes |
Keywords
- Hamiltonian determination
- Quantum dynamics
- Transverse field Ising chain
ASJC Scopus subject areas
- Physics and Astronomy(all)