Quantum entanglement generation in de Sitter spacetime

Abstract

We study, in the framework of open quantum systems, the entanglement generation between two mutually independent static two-level atoms in de Sitter spacetime. We treat the two-atom system as an open system in interaction with a bath of fluctuating conformally coupled massless scalar fields in the de Sitter invariant vacuum and derive the master equation which governs its evolution. With the help of the partial transposition criterion, we analyze entanglement generation between the two initially separable atoms and find that static atoms in de Sitter spacetime exhibit distinct characteristics from those in a thermal bath in flat spacetime in terms of entanglement generation. So, in, principle, one can tell whether he is in a thermal bath or in de Sitter space by checking the entanglement creation between two initially separable static atoms in certain circumstances.

11 pages, no figures, to be published in PRD

References in corpus (10)

• 'Designer atoms' for quantum metrology
• Entangling Power of an Expanding Universe
• Cosmological quantum entanglement
• The Unruh effect and entanglement generation for accelerated atoms near a reflecting boundary
• Classical and Quantum Correlations of Scalar Field in the Inflationary Universe
• Open quantum system approach to Gibbons-Hawking effect of de Sitter space-time
• Entanglement generation in atoms immersed in a thermal bath of external quantum scalar fields with a boundary
• Entanglement generation outside a Schwarzschild black hole and the Hawking effect
• Thermal nature of de Sitter spacetime and spontaneous excitation of atoms
• The Lamb shift in de Sitter spacetime

Cited by in corpus (19)

• Uncertainty relation in Schwarzschild spacetime
• Detecting the Curvature of de Sitter Universe with Two Entangled Atoms
• Effective master equations for two accelerated qubits
• Entanglement dynamics in de Sitter spacetime
• Entanglement dynamics in $\kappa$-deformed spacetime
• Bell inequalities violation within non-Bunch-Davies states
• Superhorizon entanglement from inflationary particle production
• Relating the curvature of De Sitter Universe to Open Quantum Lamb Shift Spectroscopy
• Information carrying capacity of a cosmological constant
• Asymptotic States of Accelerated Qubits with Nonzero Background Temperature
• Maximal Steered Coherence in Accelerating Unruh-DeWitt Detectors
• Remarks on distinguishability of Schwarzschild spacetime and thermal Minkowski spacetime using Resonance Casimir-Polder interaction
• Optimized efficiency at maximum $\dot{\Omega }$ figure of merit and efficient power of Power law dissipative Carnot like heat engines
• QMetrology from QCosmology: Study with Entangled Two Qubit Open Quantum System in De Sitter Space
• How the mass of a scalar field influences Resonance Casimir-Polder interaction in Schwarzschild spacetime
• Atom-field dynamics in curved spacetime
• Equilibrium and nonequilibrium quantum correlations between two detectors in curved space time
• Quantum entanglement for atoms coupling to fluctuating electromagnetic field in the cosmic string spacetime
• Coherence revival under the Unruh effect and its metrological advantage