Entanglement dynamics: Generalized master equation for uniformly accelerated two-level systems

Abstract

We propose a new form for the quantum master equation in the theory of open quantum systems. This new formalism allows one to describe the dynamics of two-level systems moving along different hyperbolic trajectories with distinct proper times. In the Born-Markov approximation, we consider a quantum massless scalar field coupled with two-level systems. Starting from a separable state we show the emergence of entanglement harvesting. For different proper accelerations we verify also the entanglement sudden death.

Effective master equations for two accelerated qubits

“…Before we solve these equations, let us remark on the choice of initial state ρ ab (0). Interestingly, many existing studies involving two UDW detectors in open system framework restricts their attention to an X-state as the initial state [28,30,31,[33][34][35][36]41] because the time evolution preserves the X-block [76]. Here we see that this restriction is unnecessary since X-block completely decouples from O-block, so one can evolve the O-block independently anyway.…”

“…From the perspective of relativistic quantum information, the study of entanglement dynamics between two UDW detectors typically falls into two classes: (i) via the entanglement harvesting protocol (see, e.g., ), or (ii) through open quantum systems methods (see, e.g., [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42]). Although the objectives may vary, at the technical level the main difference between these two approaches is the interaction timescale.…”

“…One of the most common examples is the invocation of the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) master equation, among many others (e.g. [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42]).…”