Transient entanglement in a spin chain stimulated by phase pulses

Abstract

Dynamics of the one-dimensional open Ising chain under influence of π-pulses is studied. It is shown that the application of a specific sequence of such instant kicks to selective spins stimulates arising of perfect dynamical pairwise entanglement between ends of the spin chain. Analytic formulas for the concurrence dynamics are derived. It is also shown that the time required to perfectly entangle the ends of the chains grows linearly with the number of spins in the chain. The final entangled state of the ending spins is always the same and does not depend on length the chain.

Entanglement dynamics of two qubits under the influence of external kicks and Gaussian pulses

“…Control and manipulation of entanglement which is a quantifiable resource for quantum information tasks such as quantum computing [1], communication [2] and cryptography [3] have been studied along many directions in the last decade [4][5][6][7][8][9][10][11][12][13]. Among these studies, systems that are modelled as a 1D Heisenberg chain with qubits of spin-1/2 particles as the main unit are one of the prototypical examples [14].…”

“…Among these studies, systems that are modelled as a 1D Heisenberg chain with qubits of spin-1/2 particles as the main unit are one of the prototypical examples [14]. For such systems, the control of entanglement between the qubits can be manipulated with the help of various types of external magnetic fields [4][5][6][7][8][9][10][11][12][13]. In particular, Heule et al investigated the feasibility of a local operator control in arrays of interacting qubits modelled as isotropic Heisenberg spin chains [4].…”