Generating multi-partite entanglement from the quantum vacuum with a finite-lifetime mirror

Abstract

Observers following special classes of finite-lifetime trajectories have been shown to experience an effective temperature, a generalisation of the Unruh temperature for uniformly accelerated observers. We consider a mirror following such a trajectory—and is hence localised to a strictly bounded causal diamond—that perfectly reflects incoming field modes. We find that inertial observers in the Minkowski vacuum detect particles along the half null-rays at the beginning and end of the mirror’s lifetime. These particle distributions exhibit multi-partite entanglement, which reveals novel structure within the vacuum correlations. The interaction is modelled using a non-perturbative circuit model and does not suffer from energy divergences.

Mirror at the edge of the universe: Reflections on an accelerated boundary correspondence with de Sitter cosmology

“…where M ≔ 1 F 1 the confluent hypergeometric function, i.e., the Kummer function of the first kind. The same betas [28,29] have been derived in the context of spacetime diamonds [30].…”

“…A similar finite energy to Eq. ( 26) is obtained using a finitelifetime mirror in [28]. Following Eq.…”

Telefilters, telemirrors, and causality

“…The aims of this paper have been threefold. Firstly, we proposed a new teleportation model for the mode-selective mirror, which is widely used in quantum information and communication [4][5][6], relativistic QFT [9][10][11][12][13][14] and experimental applications in quantum optics [15][16][17][18].…”

“…Mode-selective mirrors and beamsplitters have been identified as key tools in future communications and metrology applications [4][5][6][7][8]. Other mode-discriminating interactions such as phase-shifters, displacements and squeezers have been studied in the context of relativistic quantum communication protocols [9][10][11][12][13][14] describing interactions between quantum fields and observers in relativistic reference frames.…”

On the duality of Schwarzschild-de Sitter spacetime and moving mirror

“…A central theoretical achievement of the mirror model has been the demonstration that these accelerated point mirrors nontrivially disturb the quantum vacuum via a non-zero Bogoliubov coefficients (and renormalized stress tensor), resulting in particle production, energy flux, entanglement and other interesting physics (see e.g. [15][16][17][18][19][20][21][22]). Since the stress tensor is technically divergent in the model, a point-splitting regularization technique is used to determine finite meaningful particle production results (see e.g.…”