Spin operator matrix elements in the quantum Ising chain: fermion approach

Details Spin operator matrix elements in the quantum Ising chain: fermion approach Spin operator matrix elements in the quantum Ising chain: fermion approach

2010-11-11

arxiv.org/abs/1011.2603v1

J. Stat. Mech. (2011) P02028

Physics

Condensed Matter

Statistical Mechanics

19 pages

Scientific paper

10.1088/1742-5468/2011/02/P02028

Using some modification of the standard fermion technique we derive factorized formula for spin operator matrix elements (form-factors) between general eigenstates of the Hamiltonian of quantum Ising chain in a transverse field of finite length. The derivation is based on the approach recently used to derive factorized formula for Z_N-spin operator matrix elements between ground eigenstates of the Hamiltonian of the Z_N-symmetric superintegrable chiral Potts quantum chain. The obtained factorized formulas for the matrix elements of Ising chain coincide with the corresponding expressions obtained by the Separation of Variables Method.

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