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Lindblad Dynamics and Disentanglement in Multi-Mode Bosonic Systems.
Alexei D Kiselev1, Ranim Ali2, Andrei V Rybin3
1Laboratory of Quantum Processes and Measurements, ITMO University, Kadetskaya Line 3b, 199034 Saint Petersburg, Russia.
Entropy (Basel, Switzerland)
|November 27, 2021
Summary
This study explores quantum entanglement dynamics in multi-mode bosonic systems using the Lindblad master equation. Adjusting environmental coupling and mode interactions can revive entanglement and extend its lifespan.
Area of Science:
- Quantum physics
- Quantum information science
- Open quantum systems
Background:
- Quantum states in multi-mode bosonic systems exhibit complex dynamics when interacting with an environment.
- The Lindblad master equation is a key tool for describing non-unitary quantum evolution.
- Entanglement dynamics are crucial for understanding quantum information processing and quantum correlations.
Purpose of the Study:
- To analyze the influence of inter-mode coupling and environmental interactions on entanglement in a two-mode bosonic system.
- To investigate the conditions for entanglement revivals and their dependence on system parameters.
- To determine how frequency and relaxation rate vectors affect logarithmic negativity and disentanglement times.
Main Methods:
- Utilizing the thermal bath Lindblad master equation to model quantum non-unitary dynamics.
- Analyzing a two-mode bosonic system coupled to an environment.
- Calculating logarithmic negativity as a measure of entanglement.
- Investigating the impact of frequency and relaxation rate vectors on entanglement evolution.
Main Results:
- Both inter-mode coupling and environmental coupling (frequency and relaxation rate vectors) significantly influence entanglement dynamics.
- Dynamic coupling between modes can induce revivals of entanglement.
- The magnitude and orientation of frequency and relaxation rate vectors determine logarithmic negativity for a two-mode squeezed state.
- Reorienting the relaxation rate vector can substantially prolong the time to disentanglement in finite-time regimes.
Conclusions:
- Environmental coupling and inter-mode interactions are critical control parameters for quantum entanglement in bosonic systems.
- Entanglement revivals and extended entanglement lifetimes are achievable through careful manipulation of system and environmental parameters.
- The study provides insights into controlling quantum correlations in open quantum systems for potential applications in quantum technologies.
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