Zoo of holographic moving mirrors

Abstract

We systematically study moving mirror models in two-dimensional conformal field theory (CFT). By focusing on their late-time behavior, we separate the mirror profiles into four classes, named type A (timelike) mirrors, type B (escaping) mirrors, type C (chasing) mirrors, and type D (terminated) mirrors. We analytically explore the characteristic features of the energy flux and entanglement entropy for each type and work out their physical interpretation. Moreover, we construct their gravity duals for which end-of-the-world (EOW) branes play a crucial role. Depending on the mirror type, the profiles of the EOW branes show distinct behaviors. In addition, we also provide a criterion that decides whether the replica method in CFTs computes entanglement entropy or pseudo entropy in moving mirror models.

Figures (28)

• Figure 1: A moving mirror (green curve), being the boundary of the quantum system (red line) under consideration, accelerates to the left while approaching the null line. This generates radiation in form of right moving quanta (red, wiggly arrows).
• Figure 2: Minkowski spacetime with a static mirror located at $x=0$.
• Figure 3: Various trajectories for different types of simple moving mirrors associated with the mapping function $p(u)$.
• Figure 4: Type A mirrors with differently chosen $p_A(u)$ as introduced in eq. \ref{['eq:defineTypeA']}. The three subclasses type A$_+$, A$_0$, A$_-$ are defined in table \ref{['table:AB']}. Left: shown are different types of conformal mapping functions with $n=2,1,\frac{1}{2}$, respectively, see also table \ref{['table:AB']}. Right: Corresponding trajectories of moving mirrors are shown in a Penrose diagram. For both plots, we have chosen $\beta=1=u_0$.
• Figure 5: Trajectories of type A mirrors with a constant velocity $v_m$.