Effect of acceleration on localized fermionic Gaussian states: From vacuum entanglement to maximally entangled states

Abstract

We study the effects of acceleration on fermionic Gaussian states of localized modes of a Dirac field. We consider two wavepackets in a Gaussian state and transform these to an accelerated frame of reference. In particular, we formulate the action of this transformation as a fermionic quantum channel. Having developed the general framework for fermions, we then investigate the entanglement of the vacuum, as well as the entanglement in Bell states. We find that with increasing acceleration vacuum entanglement increases, while the entanglement of Bell states decreases. Notably, our results have an immediate operational meaning given the localization of the modes.

Quantum Temporal Superposition: The Case of Quantum Field Theory

“…We consider the process of entanglement harvesting from the quantum field vacuum, which is well-understood in flat spacetime [30,33]. Entanglement harvesting has attracted much interest for its foundational and applicative relevance [30,[33][34][35][36][37][38][39][40], with possible implications for the black hole information paradox and quantum gravity [32, [41][42][43][44][45][46][47].…”

Collective dynamics of accelerated atoms

“…(10) shows that the Minkowski vacuum written in Rindler modes exhibits entanglement between regions I and II. State (10) is the purification of a thermal state in region I by modes of region II. Therefore, taking the partial trace over one of the regions results in a thermal state of the Unruh temperature T U ∼ α, where α is the proper acceleration of the observer [34].…”

“…Further, we defined g k,i (τ i ) = χ(τ i )g k,i = χg k,i , where g k,i is the usual coupling appearing in Q(τ i ). We note that, in case we consider the Minkowski vacuum, the state of the Rinder modes is given by the entangled state (10), such that the field in each wedge is in a thermal state, i.e., ρ I…”

Effect of relativistic acceleration on tripartite entanglement in Gaussian states

“…However, initial investigations addressed only global modes, missing the necessity of localization in space and time that is called for when any realistic protocol is to be performed. Different approaches have been employed to tackle this problem-moving cavities [25,[30][31][32][33], point-like detectors [34][35][36][37][38] and localized wave packets [39][40][41][42][43][44][45][46][47].…”