Fate of entanglement between two Unruh-DeWitt detectors due to their motion and background temperature

Abstract

We investigate the fate of initial entanglement between two accelerated detectors with respect to an observer attached to one of the detectors. Both $(1+1)$ and $(1+3)$ spacetime dimensions are being considered here, with the detectors interacting with real massless scalar fields through monopole terms. The investigation is being performed for both non-thermal as well as thermal fields. In general, irrespective of the detectors moving in the same Rindler wedge or opposite wedges, increase of the field temperature reduces the initial entanglement. In all situations, degradation of entanglement is high for high acceleration $a_A$ of our observer. Interestingly, the degradation depends on the measure of initial entanglement. For $(1+1)$ dimensions, the degradation saturates for small values of $a_A$, whereas the same fluctuates in $(1+3)$ dimensions with the decrease of $a_A$. For motions in opposite Rindler wedges, a noticeable feature we observe in $(1+1)$ dimensions is that, depending on the strength of initial entanglement, there is a possibility of entanglement harvesting in the system for certain values of the observers' acceleration. However the same is absent in $(1+3)$ dimensions. The whole analysis is operationally different from earlier similar investigations. The thermal equilibrium is satisfied throughout the calculations here, by considering the Wightman functions with respect to the Rindler modes evaluated in the vacuum of Unruh modes, contrary to the use of Minkowski modes.

New comments added, to appear in JHEP

References in corpus (19)

• Entanglement of Dirac fields in non-inertial frames
• Quantum Measurement Information as a key to Energy Release from Local Vacuums
• Relativistic Quantum Information in Detectors-Field Interactions
• Degradation of non-maximal entanglement of scalar and Dirac fields in non-inertial frames
• Harvesting Entanglement with Detectors Freely Falling into a Black Hole
• Quantum Energy Teleportation in Spin Chain Systems
• Harvesting correlations in Schwarzschild and collapsing shell spacetimes
• Onset and decay of the 1+1 Hawking-Unruh effect: what the derivative-coupling detector saw
• Disentanglement of two harmonic oscillators in relativistic motion
• Strong Local Passivity in Finite Quantum Systems
• Thermalization of particle detectors: The Unruh effect and its reverse
• Entanglement harvesting for Unruh-DeWitt detectors in circular motion
• Particle detectors and the zero mode of a quantum field
• Radiative process of two entangled uniformly accelerated atoms in a thermal bath: a possible case of anti-Unruh event
• Dynamics and quantum entanglement of two-level atoms in de Sitter spacetime
• Entanglement dynamics for Unruh-DeWitt detectors interacting with massive scalar fields: The Unruh and anti-Unruh effects
• Role of thermal field in entanglement harvesting between two accelerated Unruh-DeWitt detectors
• Entangled quantum Unruh Otto engine is more efficient
• How robust is the indistinguishability between quantum fluctuation seen from non-inertial frame and real thermal bath

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• Effect of spacetime dimensions on quantum entanglement between two uniformly accelerated atoms
• Constructing an entangled Unruh Otto engine and its efficiency
• Spontaneous entanglement leakage of two static entangled Unruh-DeWitt detectors
• Are multiple reflecting boundaries capable of enhancing entanglement harvesting?
• Extraction of entanglement from quantum fields with entangled particle detectors
• Harvesting Fermionic Field Entanglement in Schwarzschild Spacetime
• Equivalence in virtual transitions between uniformly accelerated and static atoms: from a bird's eye
• Unruh-Fulling effect in nonlocal field theory: The role of Unruh decomposition
• Influence of field mass and acceleration on entanglement generation
• Thermal scalar field stress tensor on a two dimensional black hole and its near horizon properties
• Effect of environment-induced interatomic interaction on entanglement generation for uniformly accelerated atoms with a boundary