Realization of SWAPα Gates Using Pure DM interaction

Author(s):  
R. Muthuganesan ◽  
S. Balakrishnan ◽  
R. Sankaranarayanan
Keyword(s):  
2009 ◽  
Vol 07 (02) ◽  
pp. 547-557 ◽  
Author(s):  
DA-CHUANG LI ◽  
ZHUO-LIANG CAO

In this paper, we study the thermal entanglement in a two-qubit Heisenberg XYZ system with different Dzyaloshinskii–Moriya (DM) couplings. We show that different DM coupling parameters have different influences on the entanglement and the critical temperature. In addition, we find that when Ji (i-component spin coupling interaction) is the largest spin coupling coefficient, Di (i-component DM interaction) is the most efficient DM control parameter, which can be obtained by adjusting the direction of DM interaction.


2009 ◽  
Vol 07 (05) ◽  
pp. 1021-1028
Author(s):  
XIAO SAN MA

The effect of Dzialoshiski-Moriya (DM) interaction and anisotropy on the thermal entanglement of a two-qutrit XXZ spin chain is investigated. Our analysis implies that the DM interaction and weak anisotropy can enhance the thermal entanglement to a maximum value while the strong anisotropy plays a positive role in shrinking thermal entanglement. Furthermore, we find that the entanglement evolution in terms of anisotropy is sensitive to weak anisotropy.


2011 ◽  
Vol 09 (02) ◽  
pp. 751-761 ◽  
Author(s):  
Y. Z. WU ◽  
J. REN ◽  
X. F. JIANG

Dynamics of the nearest-neighbor concurrence and the block–block entanglement in closed Heisenberg chains with Dzyaloshinskii–Moriya (DM) interactions are simulated numerically. It is found that the nearest-neighbor concurrence and the block–block entanglement can be generated dynamically from an initial antiferromagnetic (AF) state, and DM interactions will enhance the amplitude of oscillation of concurrence and that of block–block entanglement. Furthermore, dynamics of block–block entanglement SL in the chain with even number spins is coincident with the dynamics of SN - L for D = 0. However, with the consideration of DM interactions, the evolution of SL will not be consistent with that of SN - L for the chain with odd number spins. In a given time interval, the maximal value of the generated nearest-neighbor concurrence [Formula: see text] will first decrease with the increase of chain's length, then oscillate with the increase of N. The maximal value and the minimal value of the oscillation becomes stable for a large N, and [Formula: see text] of the chain with odd spins is larger than that of the chain with even spins for a large N. The influence of DM interaction on the value of [Formula: see text] becomes unobvious with the increase of chain's length.


2020 ◽  
Vol 34 (27) ◽  
pp. 2050294
Author(s):  
Oleg V. Farberovich ◽  
Mikhail Mazuritskiy

A study of magnetic or spin logic appears as an appealing alternative due to its nonvolatile character, which can boost up switching on/off. The influences of Dzyaloshinskii–Moriya (DM) interaction on non-classical correlations play an important role in foundations of quantum technologies such as quantum information and quantum computation. We have considered the anisotropic general spin Hamiltonian (GSH) model in presence of DM interaction in addition to the Landau–Lifshitz–Gilbert (LLG)-model in a pulse magnetic field. For study of ultrafast spin dynamics in exchange bias Co–Mn FM/AFM systems, we present some quantum circuits for a deterministic quantum computing in Co–Mn FM/AFM systems.


2020 ◽  
Vol 34 (21) ◽  
pp. 2050212
Author(s):  
Y. Khlifi ◽  
A. El Allati ◽  
Ahmed Salah ◽  
Y. Hassouni

A quantum heat engine (QHE) model by considering as working substance two spins (spin-1, spin-[Formula: see text]) is proposed. It consists of using different Heisenberg models with the Dzyaloshinskii-Moriya (DM) interaction in the presence of magnetic field [Formula: see text]. The proposed model contains four stroke two isochoric and two others adiabatic. A comparison of different models such that [Formula: see text], [Formula: see text] and [Formula: see text] is examined for various thermodynamics quantities, especially the efficiency [Formula: see text] and work [Formula: see text]. Finally, discussion and interpretation all results are given in the last section.


2016 ◽  
Vol 2 (7) ◽  
pp. e1600304 ◽  
Author(s):  
Jobu Matsuno ◽  
Naoki Ogawa ◽  
Kenji Yasuda ◽  
Fumitaka Kagawa ◽  
Wataru Koshibae ◽  
...  

Electron transport coupled with magnetism has attracted attention over the years. Among them, recently discovered is topological Hall effect (THE), originating from scalar spin chirality, that is, the solid angle subtended by the spins. THE is found to be a promising tool for probing the Dzyaloshinskii-Moriya (DM) interaction and consequent magnetic skyrmions. This interaction arises from broken inversion symmetry and hence can be artificially introduced at interface; this concept is lately verified in metal multilayers. However, there are few attempts to investigate such DM interaction at interface through electron transport. We clarified how the transport properties couple with interface DM interaction by fabricating the epitaxial oxide interface. We observed THE in epitaxial bilayers consisting of ferromagnetic SrRuO3 and paramagnetic SrIrO3 over a wide region of both temperature and magnetic field. The magnitude of THE rapidly decreases with the thickness of SrRuO3, suggesting that the interface DM interaction plays a significant role. Such interaction is expected to realize a 10-nm-sized Néel-type magnetic skyrmion. The present results established that the high-quality oxide interface enables us to tune the effective DM interaction; this can be a step toward future topological electronics.


2014 ◽  
Vol 70 (a1) ◽  
pp. C1350-C1350
Author(s):  
Vladimir Dmitrienko ◽  
Elena Ovchinnikova ◽  
Steve Collins ◽  
Gareth Nisbet ◽  
Guillaume Beutier ◽  
...  

The spin-orbit Dzyaloshinskii–Moriya (DM) interaction EDM=D·[s1×s2] can induce small canting of neighboring magnetic moments s1 and s2. It is also very important for multiferroics and helimagnetic MnSi-type crystals with the spiral or Skyrmionic structures. The sense of the DM vector D has been experimentally determined for the first time in canted antiferromagnetic FeBO3 crystal [1]. The technique of interference between magnetic and resonant channels in synchrotron x-ray scattering was exploited. The phase of antiferromagnetic ordering (and scattering) was fixed by external magnetic field and the phase of resonant scattering was calculated with FDMNES program. Similar experiments have been also performed for MnCO3 and CoCO3 crystals. For Fe2O3 hematite crystal, the technique of interference between magnetic and multiple diffraction channels has been used. The experimental measurements are supported by ab initio calculations of the DM interaction. The first-principles calculations have been performed with Local Density Approximation incorporating the on-site Coulomb interaction U and the Spin-Orbit coupling (LDA+U+SO) [2,3]. It was found how DM interaction depends on displacements of oxygen atoms. These experimental and theoretical approaches open up new possibilities for exploring, modeling and exploiting novel magnetic and multiferroic materials. VED and ENO are grateful to the RFBR research project No. 13-02-00760 and to the project of Presidium of Russian Academy of Sciences No. 24. The work of VVM is supported by the grant program of President of Russian Federation MK-5565.2013.2, the contracts of the Ministry of education and science of Russia N 14.A18.21.0076 and 14.A18.21.0889. MIK acknowledges a financial support by FOM (The Netherlands).


2020 ◽  
Vol 6 (1) ◽  
Author(s):  
Xi-Guang Wang ◽  
Levan Chotorlishvili ◽  
Vitalii K. Dugaev ◽  
Arthur Ernst ◽  
Igor V. Maznichenko ◽  
...  

Abstract In a spin-driven multiferroic system, the magnetoelectric coupling has the form of effective dynamical Dzyaloshinskii–Moriya (DM) interaction. Experimentally, it is confirmed, for instance, for Cu2OSeO3, that the DM interaction has an essential role in the formation of skyrmions, which are topologically protected magnetic structures. Those skyrmions are very robust and can be manipulated through an electric field. The external electric field couples to the spin-driven ferroelectric polarization and the skyrmionic magnetic texture emerged due to the DM interaction. In this work, we demonstrate the effect of optical tweezing. For a particular configuration of the external electric fields it is possible to trap or release the skyrmions in a highly controlled manner. The functionality of the proposed tweezer is visualized by micromagnetic simulations and model analysis.


Proceedings ◽  
2019 ◽  
Vol 46 (1) ◽  
pp. 3
Author(s):  
Hung Diep ◽  
Ildus Sharafullin

We present in this paper the effects of Dzyaloshinskii–Moriya (DM) magnetoelectric coupling between ferroelectric and magnetic layers in a superlattice formed by alternate magnetic and ferroelectric films. Magnetic films are films of simple cubic lattice with Heisenberg spins interacting with each other via an exchange J and a DM interaction with the ferroelectric interface. Electrical polarizations of ± 1 are assigned at simple cubic lattice sites in the ferroelectric films. We determine the ground-state (GS) spin configuration in the magnetic film. In zero field, the GS is periodically non-collinear (helical structure) and in an applied field H perpendicular to the layers, it shows the existence of skyrmions at the interface. Using the Green’s function method we study the spin waves (SW) excited in a monolayer and also in a bilayer sandwiched between ferroelectric films, in zero field. We show that the DM interaction strongly affects the long-wave length SW mode. We calculate also the magnetization at low temperatures. We use next Monte Carlo simulations to calculate various physical quantities at finite temperatures such as the critical temperature, the layer magnetization and the layer polarization, as functions of the magneto-electric DM coupling and the applied magnetic field. Phase transition to the disordered phase is studied.


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