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

Abstract

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.

19 pages

References in corpus (6)

• The L(sl_2) symmetry of the Bazhanov-Stroganov model associated with the superintegrable chiral Potts model
• Form-factors in the Baxter-Bazhanov-Stroganov model II: Ising model on the finite lattice
• An algebraic derivation of the eigenspaces associated with an Ising-like spectrum of the superintegrable chiral Potts model
• Spontaneous magnetization of the superintegrable chiral Potts model: calculation of the determinant D_PQ
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• Quantum Loop Subalgebra and Eigenvectors of the Superintegrable Chiral Potts Transfer Matrices

Cited by in corpus (21)

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• Time evolution of local observables after quenching to an integrable model
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• Dynamical Correlations after a Quantum Quench
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• Form factors and generalized hydrodynamics for integrable systems
• Finite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansions
• Front dynamics in the XY chain after local excitations
• Quantum computing critical exponents
• Out-of-equilibrium dynamics of the XY spin chain from form factor expansion
• NMR relaxation in Ising spin chains
• Form-factors of the finite quantum XY-chain
• Divergent nonlinear response from quasiparticle interactions
• Entanglement spreading after local fermionic excitations in the XXZ chain
• Local dynamics and thermal activation in the transverse-field Ising chain
• Determinant representations of spin-operator matrix elements in the XX spin chain and their applications
• Truncated string state space approach and its application to nonintegrable spin-$\frac{1}{2}$ Heisenberg chain
• Signatures of Quantum Phase Transitions in Driven Dissipative Spin Chains
• Berry connection and quantum geometry in time-dependent systems with instantaneous quantum integrable field theory
• Long-time divergences in the nonlinear response of gapped one-dimensional many-particle systems
• Dynamical correlation functions in the Ising field theory