Hamiltonian determination with restricted access in transverse field ising chain

Mohammad Ali Fasihi, Shu Tanaka, Mikio Nakahara, Yasushi Kondo

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 languageEnglish
Article number044002
JournalJournal of the Physical Society of Japan
Volume80
Issue number4
DOIs
Publication statusPublished - 2011 Apr
Externally publishedYes

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eigenvalues
operators

Keywords

  • Hamiltonian determination
  • Quantum dynamics
  • Transverse field Ising chain

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Hamiltonian determination with restricted access in transverse field ising chain. / Fasihi, Mohammad Ali; Tanaka, Shu; Nakahara, Mikio; Kondo, Yasushi.

In: Journal of the Physical Society of Japan, Vol. 80, No. 4, 044002, 04.2011.

Research output: Contribution to journalArticle

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