Sudden Freezing and Thawing of Entanglement Sharing in a Shrunken Volume

Abstract

Within the one-excitation context of two identical two-level atoms interacting with a common cavity, we examine the dynamics of all bipartite one-to-other entanglements between each qubit and the remaining part of the whole system. We find a new non-analytic "sudden" dynamical behavior of entanglement. Specifically, the sum of the three one-to-other entanglements of the system can be suddenly frozen at its maximal value or can be suddenly thawed from this value in a periodic manner. We calculate the onset timing of sudden freezing and sudden thawing under several different initial conditions. The phenomenon of permanent freezing for entanglement is also found. We also identify a non-trivial upper limit for the sum of three individual entanglements, which exposes the concept of entanglement sharing in a shrunken "volume". Further analyses about freezing and thawing processes reveal quantitative and qualitative laws of entanglement sharing.

6 pages and 3 figures

References in corpus (6)

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Cited by in corpus (5)

• Multipartite Entanglement: A Journey Through Geometry
• Managing the Three-Party Entanglement Challenge
• Dynamics of a multipartite hybrid quantum system with beamsplitter, dipole-dipole, and Ising interactions
• Robust entanglement measure for mixed quantum states
• Generation and transfer of entangled states between two connected microtoroidal cavities: analysis of different types of coupling