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.

arXiv comment6 pages and 3 figures

References in corpus (18)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Introducing Quantum Discord
• Distributed Entanglement
• Classical, quantum and total correlations
• Quantum discord and the power of one qubit
• Sudden transition between classical and quantum decoherence
• Classical and quantum correlations under decoherence
• Entanglement Sharing in the Two-Atom Tavis-Cummings Model
• Universal freezing of quantum correlations within the geometric approach
• Measuring bipartite quantum correlations of an unknown state
• Observation of environment-induced double sudden transitions in geometric quantum correlations
• Correlation Dynamics of Qubit-Qutrit Systems in a Classical Dephasing Environment
• Sudden change of quantum discord for a system of two qubits
• Entanglement sharing among qudits
• Robust asymptotic entanglement under multipartite collective dephasing
• Entanglement Polygon Inequality in Qubit Systems
• Time-invariant entanglement and sudden death of non-locality
• Sudden change in dynamics of genuine multipartite entanglement of cavity-reservoir qubits

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