scholarly journals Entanglement and Entropy of a Three-Qubit System Interacting with a Quantum Spin Environment

2019 ◽  
Vol 9 (23) ◽  
pp. 5222
Author(s):  
Doaa Abo M. Abo-Kahla ◽  
Ahmed Farouk

Throughout this paper, we describe an analytical solution for a three-qubit system characterized by a finite temperature within a thermodynamic limit influenced by a quantum spin environment. As applications to the presented solution, we investigate the effect of the temperature, the coupling constant ϵ 0 within the spin- qubit system and an external magnetic field on the three-particles residual entanglement N a b c , the concurrence C ( ρ ) , the information entropy H ( σ Z ) and the linear entropy P P ( t ) . The results show an inverse relationship between the entanglement and entropy, where the degree of both is controlled by controlling the temperature T and the coupling constant ϵ 0 .

2008 ◽  
Vol 2008 (07) ◽  
pp. 080-080 ◽  
Author(s):  
Tameem Albash ◽  
Veselin Filev ◽  
Clifford V Johnson ◽  
Arnab Kundu

2021 ◽  
Vol 63 (5) ◽  
pp. 639
Author(s):  
Ф.Н. Буханько ◽  
А.Ф. Буханько

Measurements of the magnetization temperature dependences of La0.15Sm0.85MnO3+δ in the temperature range 4.2 - 100 K revealed a threshold magnetization feature near the temperature Td 50 K, associated with the existence of a small pseudogap Δe in the electron spectrum, which is characteristic of a weak Mott dielectric. An increase in the strength H of the external magnetic field leads to suppression of the dielectric pseudogap Δe, an increase in the density of states of free charge/ spin carriers at EF, and transformation of the charge/spin density waves fragments. A quantization of the pairs spectrum of the low-energy magnetic excitations of a Z2 quantum spin liquid in the form of spinon-gauge field composite quasiparticles was found in the temperature range 4.2 - 12 K. Formation of a continuous spectrum of the quantum spin liquid excitations in the regime of “weak magnetic fields” Н = 100 Oe, 350 Oe, 1 kOe is explained within the framework of the Landau quantization models of the spectrum of composite quasiparticles with fractional values of the factor ν filling of three overlapping Landau zones.. In the regime of a “strong external magnetic field” H = 3.5 kOe, the new quantum oscillations of the temperature dependences of the magnetization of an incompressible spinon liquid were founded in the form of three narrow steps (plateaus) corresponding to the complete filling of non-overlapping Landau zones with integer values of the filling factor by spinons.


2010 ◽  
Vol 24 (17) ◽  
pp. 1869-1875
Author(s):  
ZHAO-XIAN YU ◽  
ZHI-YONG JIAO ◽  
XIANG-GUI LI

By using the Lewis–Riesenfeld invariant theory, we have studied the geometric phase in the condensed vapor of Rb under pressure and external time-dependent magnetic field. We find that the geometric phase in the cycle case has nothing to do with the coupling constant between electron and atomic nucleus, and the external time-dependent magnetic field.


2016 ◽  
Vol 30 (24) ◽  
pp. 1650171
Author(s):  
Xue-Min Bai ◽  
Jun-Qi Li ◽  
J.-Q. Liang

We investigate in this paper measurement-induced disturbance (MID) and negativity in a two-spin-qutrit model by considering the influence of the external magnetic field, nonlinear coupling parameter, the uniaxial field and temperature. It is shown that all of these parameters play a significant role in negativity and MID. We make an explicit comparison between the negativity and MID and disclose some interesting results. By the way, we find that negativity is a better measure than MID to detect the sudden point in a finite temperature, which is obviously different from the previous findings.


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