Dynamics of bipartite and tripartite entanglement in a dissipative system of continuous variables

Zhao, Yue; Zheng, Fulu; Liu, Jing; Yao, Yao

doi:10.1016/j.physa.2014.12.028

Cited by 5 publications

(1 citation statement)

References 59 publications

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“…Therefore, for all practical applications, it is of significant importance to carry out a careful study of the characterization and quantification of quantum correlations under environmental decoherence. The dynamics of quantum correlations of single-qubit, bipartite, and tripartite systems in an open system have been studied extensively [24][25][26][27][28][29][30][31][32][33][34][35]. Viola et al [36,37] worked out an exact model for a two-state quantum system coupled to a reservoir of harmonic oscillators and also showed that decoherence can dynamically be suppressed through repeated effective time-reversal operations on the combined system and bath.…”

Section: Introductionmentioning

confidence: 99%

Exact Time Evolution of Genuine Multipartite Correlations for N-Qubit Systems in a Common Thermal Reservoir

et al. 2022

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We investigate the dynamical evolution of genuine multipartite correlations for N-qubits in a common reservoir considering a non-dissipative qubits-reservoir model. We derive an exact expression for the time-evolved density matrix by modeling the reservoir as a set of infinite harmonic oscillators with a bilinear form of interaction Hamiltonian. Interestingly, we find that the choice of two-level systems corresponding to an initially correlated multipartite state plays a significant role in potential robustness against environmental decoherence. In particular, the generalized W-class Werner state shows robustness against the decoherence for an equivalent set of qubits, whereas a certain generalized GHZ-class Werner state shows robustness for inequivalent sets of qubits. It is shown that the genuine multipartite concurrence (GMC), a measure of multipartite entanglement of an initially correlated multipartite state, experiences an irreversible decay of correlations in the presence of a thermal reservoir. For the GHZ-class Werner state, the region of mixing parameters for which there exists GMC, shrinks with time and with increase in the temperature of the thermal reservoir. Furthermore, we study the dynamical evolution of the relative entropy of coherence and von-Neumann entropy for the W-class Werner state.

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Section: Introductionmentioning

confidence: 99%

Exact Time Evolution of Genuine Multipartite Correlations for N-Qubit Systems in a Common Thermal Reservoir

et al. 2022

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Time evolution of entanglement in a cavity at finite temperature

Figueiredo

Linhares

Malbouisson

et al. 2016

Physica A: Statistical Mechanics and its Applications

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Dynamics of the two-spin spin-boson model with a common bath

Deng

Yan

Chen

et al. 2016

The Journal of Chemical Physics

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Dynamics of the two-spin spin-boson model in the presence of Ohmic and sub-Ohmic baths is investigated by employing a multitude of the Davydov D1 trial states, also known as the multi-D1 Ansatz. Its accuracy in dynamics simulations of the two-spin SBM is improved significantly over the single D1 Ansatz, especially in the weak to moderately strong coupling regime. Validity of the multi-D1 Ansatz for various coupling strengths is also systematically examined by making use of the deviation vector which quantifies how faithfully the trial state obeys the Schrödinger equation. The time evolution of population difference and entanglement has been studied for various initial conditions and coupling strengths. Careful comparisons are carried out between our approach and three other methods, i.e., the time-dependent numerical renormalization group (TD-NRG) approach, the Bloch-Redfield theory, and a method based on a variational master equation. For strong coupling, the multi-D1 trial state yields consistent results as the TD-NRG approach in the Ohmic regime while the two disagree in the sub-Ohmic regime, where the multi-D1 trial state is shown to be more accurate. For weak coupling, the multi-D1 trial state agrees with the two master-equation methods in the presence of both Ohmic and sub-Ohmic baths, but shows considerable differences with the TD-NRG approach in the presence of a sub-Ohmic bath, calling into question the validity of the TD-NRG results at long times in the literature.

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Dynamics of bipartite and tripartite entanglement in a dissipative system of continuous variables

Cited by 5 publications

References 59 publications

Exact Time Evolution of Genuine Multipartite Correlations for N-Qubit Systems in a Common Thermal Reservoir

Exact Time Evolution of Genuine Multipartite Correlations for N-Qubit Systems in a Common Thermal Reservoir

Time evolution of entanglement in a cavity at finite temperature

Dynamics of the two-spin spin-boson model with a common bath

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