Vacuum entanglement harvesting with a zero mode

Abstract

We investigate vacuum entanglement harvesting in the presence of a zero mode. We show that, for a variety of detector models and couplings (namely, Unruh-DeWitt qubit and harmonic oscillator detectors, amplitude and derivative coupling), the results are strongly dependent on the state of the zero mode, revealing an ambiguity in studies of entanglement harvesting with Neumann or periodic boundary conditions, or in general in spacetimes with toroidal topologies.

10 pages, 2 Figures. V4: fixed typo on the general expression for Eq.(16), results unaffected

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Cited by in corpus (15)

• Quantum superpositions of Minkowski spacetime
• Fully Relativistic Entanglement Harvesting
• Particle Detectors from Localized Quantum Field Theories
• Universal finite-size amplitude and anomalous entanglement entropy of $z=2$ quantum Lifshitz criticalities in topological chains
• Minkowski vacuum entanglement and accelerated oscillator chains
• Entanglement dynamics: Generalized master equation for uniformly accelerated two-level systems
• Vacuum entanglement probes for ultra-cold atom systems
• The time traveler's guide to the quantization of zero modes
• Detecting the massive bosonic zero-mode in expanding cosmological spacetimes
• Duality between amplitude and derivative coupled particle detectors in the limit of large energy gaps
• Influence of field mass and acceleration on entanglement generation
• A dynamic theory of entanglement for uniformly accelerated atoms
• Vacuum fluctuations and the renormalized stress-energy tensor on a cone with arbitrary boundary conditions
• Quantum kicks near a Cauchy horizon
• Measurements in QFT: Weakly coupled local particle detectors and entanglement harvesting