One-excitation spin dynamics in homogeneous closed chain governed by XX-Hamiltonian

Abstract

We analytically investigate the one-excitation spin dynamics in a homogeneous closed spin-1/2 chain via diagonalization of the one-excitation block of the XX-Hamiltonian, which allows to derive the analytical expressions for probability amplitudes describing state transfers between any two spins of a chain. We analytically investigate the $M$-neighbor approximation ($M\ge 1$) of spin dynamics with arbitrary initial state and analyze its accuracy using special integral characteristics defined in terms of the above probability amplitudes. We find $M$ providing the required accuracy of evolution approximation for chains of different lengths.

References in corpus (9)

• Spin Chains as Perfect Quantum State Mirrors
• Perfect state transfer in long-range interacting spin chains
• Simulations of Information Transport in Spin Chains
• Dynamics and Control of a Quasi-1D Spin System
• Quantum parallelism as a tool for ensemble spin dynamics calculations
• Remote creation of a one-qubit mixed state through a short homogeneous spin-1/2 chain
• The exact solution for the free induction decay in a quasi-one-dimensional system in a multi-pulse NMR experiment
• M-neighbor approximation in one-qubit state transfer along zigzag and alternating spin-1/2 chains
• Nearest-neighbor approximation in one-excitation state evolution along spin-1/2 chain governed by XX-Hamiltonian

Cited by in corpus (1)

• Exact momentum-space analysis of small spin-1/2 $J_1$-$J_2$ rings