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International Journal of Quantum Information

THE RELATIONS OF ENTANGLEMENT DYNAMICS AND ENERGY DISTRIBUTION

Zhong‐Xiao Man, Yun‐Jie Xia

Published Jun 1, 2008• 0 citations
Publisher

Abstract

We study the relations between entanglement dynamics and energy distribution for multipartite systems. We show that if two blocks S and [Formula: see text] of a system have energy exchanges, the entanglement and energy distribution between them are closely related, and have definite relations.
DOI
10.1142/s0219749908003591

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We analyze the entanglement distribution and the two-qubit residual entanglement in multipartite systems. For a composite system consisting of two cavities interacting with independent reservoirs, it is revealed that the entanglement evolution is restricted by an entanglement monogamy relation derived here. Moreover, it is found that the initial cavity-cavity entanglement evolves completely to the genuine four-partite cavities-reservoirs entanglement in the time interval between the sudden death of cavity-cavity entanglement and the birth of reservoir-reservoir entanglement. In addition, we also address the relationship between the genuine block-block entanglement form and qubit-block form in the interval.
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.