Quantum fluctuation of entanglement for accelerated two-level detectors
arXiv:2003.03783 · doi:10.1088/1674-1056/ab7d9a
Abstract
Quantum entanglement as the one of the most general quantum resources, can be quantified by von Neumann entropy. However, as we know, the von Neumann entropy is only statistical quantity or operator, it therefore has fluctuation. The quantum fluctuation of entanglement (QFE) between Unruh-Dewitt detector modeled by a two-level atom is investigated in a relativistic setting. The Unruh radiation and quantum fluctuation effects affect the precise measurement of quantum entanglement. Inspired by this we present how the relativistic motion effects QFE for two entangled Unruh-Dewitt detectors when one of them is accelerated and interacts with the neighbor external scalar field. We find that QFE first increases by the Unruh thermal noise and then suddenly decays when the acceleration reaches at a considerably large value, which indicates that relativistic effect will lead to non-negligible QFE effect. We also find that the initial QFE (without acceleration effect) is minimum with the maximally entangled state. Moreover, although QFE has a huge decay when the acceleration is greater than , concurrence also decays to a very low value, the ratio therefore still large. According to the equivalence principle, our findings could be in principle applied to dynamics of QFE under the influence of gravitation field.
arXiv comment3 figures, 6 pages, accepted for publication in Chinese Physics B
References in corpus (26)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Experimental quantum teleportation
- Distributed Entanglement
- Quantum state transfer and entanglement distribution among distant nodes in a quantum network
- The Unruh effect and its applications
- Alice falls into a black hole: Entanglement in non-inertial frames
- Quantum Noise as an Entanglement Meter
- Teleportation with a uniformly accelerated partner
- Experimental Satellite Quantum Communications
- The Unruh effect in quantum information beyond the single-mode approximation
- Bipartite Fluctuations as a Probe of Many-Body Entanglement
- General Relation between Entanglement and Fluctuations in One Dimension
- Relativistic Quantum Teleportation with Superconducting Circuits
- Exact relations between particle fluctuations and entanglement in Fermi gases
- Sudden death of entanglement and teleportation fidelity loss via the Unruh effect
- Sudden change in quantum and classical correlations and the Unruh effect
- Entangling moving cavities in non-inertial frames
- Entanglement Dynamics between Inertial and Non-uniformly Accelerated Detectors
- The influence of Unruh effect on quantum steering for accelerated two-level detectors with different measurements
- Fast optical source for quantum key distribution based on semiconductor optical amplifiers
- Fluctuations of Quantum Entanglement
- Entanglement and entropy operator for strings in pp-wave time dependent background
- The influence of the Earth's curved spacetime on Gaussian quantum coherence
- Quantum Parameter Estimation in the Unruh-DeWitt detector model
- Entanglement-fluctuation relation for bipartite pure states