Quantum correlation of qubit-reservoir system in dissipative environments

Area of Science:

• Quantum Information Science
• Quantum Dynamics
• Open Quantum Systems

Background:

• Quantum correlation (QC) is crucial for quantum information processing.
• Understanding the behavior of QC in open quantum systems is essential.
• Dissipative reservoirs can significantly impact quantum correlations.

Purpose of the Study:

• To investigate the dynamics of geometric discord in the presence of dissipative reservoirs.
• To analyze the transfer of geometric discord between qubit and reservoir subsystems.
• To examine the influence of initial states (Werner-like and W-like) on discord dynamics.

Main Methods:

• Analysis of geometric discord dynamics for qubits interacting locally with infinite-degree-of-freedom reservoirs.
• Consideration of two canonical initial states: extended Werner-like and W-like states.
• Detailed observation of short-term and long-term dynamics and discord transfer.

Main Results:

• Geometric discord in the qubit subsystem asymptotically decays to zero.
• Geometric discord in the reservoir subsystem revives from zero to a steady value.
• Evidence of discord transfer from the qubit subsystem to the reservoir subsystem is demonstrated.

Conclusions:

• The study reveals a clear transfer mechanism of geometric discord from qubits to their surrounding reservoirs.
• The observed dynamics highlight the decoherence effects of dissipative environments on quantum correlations.
• Findings contribute to understanding quantum correlation decay and transfer in open quantum systems.