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We analyze the influence of a two-state autocorrelated noise on the decoherence and on the tunneling Landau-Zener (LZ) transitions during a two-level crossing of a central electron spin (CES) coupled to a one dimensional anisotropic-antiferomagnetic spin, driven by a time-dependent global external magnetic field. The energy splitting of the coupled spin system is found through an approach that computes the noise-averaged frequency. At low magnetic field intensity, the decoherence (or entangled state) of a coupled spin system is dominated by the noise intensity. The effects of the magnetic field pulse and the spin gap antiferromagnetic material used suggest to us that they may be used as tools for the direct observation of the tunneling splitting through the LZ transitions in the sudden limit. We found that the dynamical frequencies display basin-like behavior decay with time, with the birth of entanglement, while the LZ transition probability shows Gaussian shape.

The physics of decoherence including LZ transition in a superconducting quantum spin devices is a subject of fundamental importance and of great current interest, for example, in the context of prospective “coupling-CES devices” [

It is found in the review of many previous works that the decoherence of electron spins coupled to a baths of nuclear spins in quantum dots [

Antiferromagnetic superconducting materials have been reported recently to have applications in the area of quantum information processing [

Therefore in such a system, decoherence of a cluster-spin degrees of freedom is expected to arise mainly from the hyperfine coupling with the nuclear spins [

This paper considers a CES coupled to two-interpenetrating spins systems (Figure

Central electron spin coupled to a one-dimensional anisotropic-antiferromagnetic spin systems. The spin configuration is compatible with the spin state in a sublattice (i.e., the spins on each sublattice are antiparallel). (a) and (b) represent physical configuration of a two-interpenetrating quantum spin systems.

Within the framework of dissipative Landau-Zener transitions of qubits [

To tackle this problem and tailor the dynamic of the noisy CES coupled spin system, the frequency and the transition probability become figures of merit [

In [

The plan of the paper is as follows. In Section

Decoherence rates for different superposition vibration states of a spin-1/2 particle at low temperatures in a time VBF may conveniently be modeled by the “CES” model, which couples a central spin

In the presence of the external magnetic field

In line with the transformations used in [

Considering the Hamiltonian in (

Plot of the dispersion relation versus time. Red curves for the spin branches with frequency

In analogy to the dressed atom picture [

The entangled state (see Figure

Plot of the dispersion relation versus the wave vector (

As in the so-called “tunneling model” of two level system (TLS) defects [

The characteristic anticrossing occurs in the system with the antiferromagnetic band gap energy due to the frequency splitting or bandwidth frequency (

Thus attributing this thought to this present issue (

In Figures

(a) LZ transition probability in the sudden (

Plots of the LZ transition probability versus time, in the sudden limit expressed in (

Consequently, Figure

Plots of the LZ transition probability in the sudden limit expressed in (

As is expected in Figure

In this paper, we have investigated theoretically decoherence and the LZ transition of a superconducting-qubit coupled spin system, where the system exhibit bistability mediated by the CES trapped by the vibronic coupling. As presented in our results, the two magnon modes in the system displayed a stochastic behavior according to (

The authors declare that there is no conflict of interests regarding the publishing of this paper.