理论物理通讯：英文版

Entanglement Evolution of a 2-Qutrit System Interacting with a Fermionic Bath

Ma, Xiao-San, Wang, An-Min, Yang Yang, Xiaodong, Xu, Feng

Published Jan 1, 2005• 0 citations

Abstract

Based on the algebraic entanglement measure proposed [G. Vidal et al., Phys. Rev. A 65 (2002) 032314],we study the entanglement evolution of both pure quantum states and mixed ones of 2-qutrit system in a symmetrybroken environment consisting of a fermionic bath. Entanglement of states will decrease or remain constant under the influence of environment, and the class of states which remain unchanged has been found out.

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Entanglement Evolution of a 2-Qutrit System Interacting with a Fermionic Bath

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理论物理通讯：英文版

Entanglement Evolution of a 2-Qutrit System Interacting with a Fermionic Bath

Ma, Xiao-San, Wang, An-Min, Yang Yang, Xiaodong, Xu, Feng

Published Jan 1, 2005• 0 citations

OpenAlex

Abstract

Related papers

Entanglement Evolution of a 2-Qutrit System Interacting with a Fermionic Bath

Xiao-San Ma, An Min Wang, Xiaodong Yang +1 more

Based on the algebraic entanglement measure proposed [G. Vidal et al. , Phys. Rev. A 65 (2002) 032314], we study the entanglement evolution of both pure quantum states and mixed ones of 2-qutrit system in a symmetry-broken environment consisting of a fermionic bath. Entanglement of states will decrease or remain constant under the influence of environment, and the class of states which remain unchanged has been found out.

Communications in Theoretical PhysicsAug 1, 20053 citations

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Qubit-environment entanglement in pure dephasing dynamics for mixed initial states

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N. Gigena, R. Rossignoli

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A study of Quantum Correlations in Open Quantum Systems

Indranil Chakrabarty, Subhashish Banerjee, Nana Siddharth

In this work, we study quantum correlations in mixed states. The states studied are modeled by a two-qubit system interacting with its environment via a quantum non demolition (purely dephasing) as well as dissipative type of interaction. The entanglement dynamics of this two qubit system is analyzed. We make a comparative study of various measures of quantum correlations, like Concurrence, Bell's inequality, Discord and Teleportation fidelity, on these states, generated by the above evolutions. We classify these evoluted states on basis of various dynamical parameters like bath squeezing parameter $r$ , inter-qubit spacing $r_{12}$ , temperature $T$ and time of system-bath evolution $t$ . In this study, in addition we report the existence of entangled states which do not violate Bell's inequality, but can still be useful as a potential resource for teleportation. Moreover we study the dynamics of quantum as well as classical correlation in presence of dissipative coherence.In this work, we study quantum correlations in mixed states. The states studied are modeled by a two-qubit system interacting with its environment via a quantum non demolition (purely dephasing) as well as dissipative type of interaction. The entanglement dynamics of this two qubit system is analyzed. We make a comparative study of various measures of quantum correlations, like Concurrence, Bell's inequality, Discord and Teleportation fidelity, on these states, generated by the above evolutions. We classify these evoluted states on basis of various dynamical parameters like bath squeezing parameter $r$, inter-qubit spacing $r_{12}$, temperature $T$ and time of system-bath evolution $t$. In this study, in addition we report the existence of entangled states which do not violate Bell's inequality, but can still be useful as a potential resource for teleportation. Moreover we study the dynamics of quantum as well as classical correlation in presence of dissipative coherence.

arXiv:1006.1856Jun 9, 20100 citations

\mathcal{H}

is defined. The sum over all single-particle modes of this entropy is introduced as a measure of the total entanglement of the system with respect to the chosen basis and it is shown that its minimum over all bases of

\mathcal{H}

is a function of the one-body density matrix. Furthermore, we show that if minimization is extended to all bases related through a Bogoliubov transformation, then the entanglement entropy is a function of the generalized one-body density matrix. These results are then used to quantify entanglement in fermion systems with four single-particle levels. For general pure states of such a system a closed expression for the fermionic concurrence is derived, which generalizes the Slater correlation measure defined by J. Schliemann et al. [Phys. Rev. A 64, 022303 (2001)], implying that particle entanglement may be seen as minimum mode entanglement. It is also shown that the entanglement entropy defined before is related to this concurrence by an expression analogous to that in the two-qubit case. For mixed states of this system the convex roof extension of the previous concurrence and entanglement entropy is evaluated analytically, extending the results in previous reference to general states.

r

, inter-qubit spacing

r_{12}

, temperature

T

and time of system-bath evolution

t

. In this study, in addition we report the existence of entangled states which do not violate Bell's inequality, but can still be useful as a potential resource for teleportation. Moreover we study the dynamics of quantum as well as classical correlation in presence of dissipative coherence.