Geometric quantum discord and entanglement between two atoms in Tavis-Cummings model with dipole-dipole interaction under intrinsic decoherence

2014 ◽  
Vol 68 (6) ◽  
Author(s):  
Kai-Ming Fan ◽  
Guo-Feng Zhang
Keyword(s):  
Quantum Discord ◽  
Dipole Interaction ◽  
Intrinsic Decoherence ◽  
Geometric Quantum Discord

Robustness of Quantum Correlations in Entangled Two su(2) Systems Non-mutually Interacting with su(1, 1) System under Intrinsic Decoherence

2018 ◽  
Vol 25 (03) ◽  
pp. 1850015
Author(s):  
A.-B. A. Mohamed ◽  
M. S. Abdalla ◽  
A.-S. F. Obada
Keyword(s):  
Steady State ◽  
Quantum Correlation ◽  
Quantum Discord ◽  
Bell State ◽  
Analytical Description ◽  
Quantum Correlations ◽  
Total System ◽  
Intrinsic Decoherence ◽  
Geometric Quantum Discord ◽  
Phase Decoherence

Two two-level systems generated by su(2) algebra are initially prepared in a maximum nonsymmetric Bell state and having no mutual interaction. Each su(2)-system spatially interacts with two-mode cavity field in the nondegenerate parametric amplifier type cast through operators governed by su(1, 1) Lie algebra. An analytical description for the time evolution of the final state of the total system with the effect of intrinsic decoherence is found. Therefore, the robustness of the quantum correlations between the two su(2)-system is investigated by means of geometric quantum discord, measurement-induced nonlocality and negativity. We analyze in some detail the influence of initial coherence intensities, detuning and phase decoherence parameters on the steady-state correlation. We find that the steady-state correlations can be generated and enhanced by controlling the parameters of: the initial coherence intensities, the Bargmman index and the detuning. It is shown that the phenomenon of sudden death and re-birth of entanglement, and the sudden changes of the geometric quantum correlation can be controlled by these parameters. We find that the robustness of the quantum correlation can be greatly enhanced by the Bargmman index and the resonance detuning. Negativity is the measure most susceptible to phase decoherence, while geometric quantum discord and measurement-induced nonlocality are the more robust measures.

INFLUENCE OF INTRINSIC DECOHERENCE ON THE ENTANGLEMENT BETWEEN TWO ATOMS IN TAVIS–CUMMINGS MODEL

2008 ◽  
Vol 06 (01) ◽  
pp. 167-179
Author(s):  
CHUAN-JIA SHAN ◽  
WEI-WEN CHENG ◽  
TANG-KUN LIU ◽  
YAN-XIA HUANG ◽  
HONG LI ◽  
...  
Keyword(s):  
Strong Coupling ◽  
Quantum State ◽  
Dipole Interaction ◽  
Entangled State ◽  
Entanglement Dynamics ◽  
Initial State ◽  
Intrinsic Decoherence ◽  
Dipole Coupling ◽  
Fock State

Considering the dipole–dipole coupling intensity between two atoms and the field in the Fock state, the entanglement dynamics between two atoms that are initially entangled in the Tavis–Cummings model with intrinsic decoherence have been investigated. The two-atom entanglement appears with periodicity without considering intrinsic decoherence. However, the intrinsic decoherence causes the decay of entanglement between two atoms, with the decrease of the intrinsic decoherence coefficient, the entanglement will quickly become a constant value, which is affected by the two-atom initial state, the dipole–dipole coupling intensity and the field in the Fock state. Meanwhile, the two-atom quantum state will stay forever in the maximal entangled state when the initial state is proper, even in the presence of intrinsic decoherence. Furthermore, the two atoms can generate maximal entangled state even if they are initially separated by adjusting the dipole–dipole interaction, the strong coupling can improve the value of entanglement.

Geometry and dynamics of one-norm geometric quantum discord

2015 ◽  
Vol 15 (1) ◽  
pp. 301-326 ◽  
Author(s):  
Zhiming Huang ◽  
Daowen Qiu ◽  
Paulo Mateus
Keyword(s):  
Quantum Discord ◽  
Geometric Quantum Discord

Dynamics of quantum correlations in a qubit-qutrit spin system under random telegraph noise

2021 ◽  
Author(s):  
Fadwa Benabdallah ◽  
Hamid Arian Zad ◽  
Mohammed Daoud ◽  
Nerses S Ananikian
Keyword(s):  
High Temperatures ◽  
Quantum Discord ◽  
Quantum Correlations ◽  
Spin Model ◽  
Dimensionless Time ◽  
Random Telegraph Noise ◽  
Geometric Quantum Discord ◽  
Logarithmic Negativity ◽  
Telegraph Noise ◽  
Real Complex

Abstract We study the dimensionless time evolution of the logarithmic negativity and geometric quantum discord of a qubit-qutrit XXX spin model under the both Markovian and non-Markovian noise channels. We find that at a special temperature interval the quantum entanglement based on the logarithmic negativity reveals entanglement sudden deaths together with revivals. The revival phenomenon is due to the non-Markovianity resulting from the feedback effect of the environment. At high temperatures, the scenario of death and revival disappears. The geometric quantum discord evolves alternatively versus time elapsing with damped amplitudes until the system reaches steady state. It is demonstrated that the dynamics of entanglement negativity undergoes substantial changes by varying temperature, and it is much more fragile against the temperature rather than the geometric quantum discord. The real complex heterodinuclear [Ni(dpt (H2O)Cu(pba)]·2H2O [with pba =1,3-propylenebis(oxamato) and dpt = bis-(3-aminopropyl)amine] is an experimental representative of our considered bipartite qubit-qutrit system that may show remarkable entanglement deaths and revivals at relatively high temperatures and high magnetic field that is comparable with the strength of the exchange interaction J between Cu+2 and Ni+2 ions, i.e., kBT ≈ J and μBB ≈ J.

scholarly journals Quantum discord in spin systems with dipole–dipole interaction

2013 ◽  
Vol 12 (11) ◽  
pp. 3587-3605 ◽  
Author(s):  
E. I. Kuznetsova ◽  
M. A. Yurischev
Keyword(s):  
Quantum Discord ◽  
Dipole Interaction ◽  
Spin Systems

Geometric Quantum Discord of a Two-Qutrit System Under Decoherence at Finite Temperature

2018 ◽  
Vol 57 (5) ◽  
pp. 1471-1478
Author(s):  
You-neng Guo ◽  
Zhen-ke Liu ◽  
Qing-long Tian ◽  
Gang-lin Zhang ◽  
Guo-you Wang ◽  
...  
Keyword(s):  
Finite Temperature ◽  
Quantum Discord ◽  
Geometric Quantum Discord

scholarly journals Nonlocal correlation in Heisenberg spin models

2017 ◽  
Vol 31 (23) ◽  
pp. 1750166 ◽  
Author(s):  
R. Muthuganesan ◽  
R. Sankaranarayanan
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Thermal Equilibrium ◽  
Quantum Discord ◽  
Spin Models ◽  
Heisenberg Spin ◽  
Geometric Quantum Discord ◽  
Nonlocal Correlation

In this paper, we investigate nonlocal correlation (beyond entanglement) captured by measurement induced nonlocality and geometric quantum discord for a pair of interacting spin-1/2 particles at thermal equilibrium. It is shown that both the measures are identical in measuring the correlation. We show that nonlocal correlation between the spins exist even without entanglement and the correlation vanishes only for maximal mixture of product bases. We also observe that while interaction between the spins is responsible for enhancement of correlation, this non-classicality decreases with the intervention of external magnetic field.

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