Radiative processes of single and entangled detectors on circular trajectories in $(2+1)$ dimensional Minkowski spacetime

Abstract

We investigate the radiative processes involving two entangled Unruh-DeWitt detectors that are moving on circular trajectories in (2 + 1)-dimensional Minkowski spacetime. We assume that the detectors are coupled to a massless, quantum scalar field, and calculate the transition probability rates of the detectors in the Minkowski vacuum as well as in a thermal bath. We also evaluate the transition probability rates of the detectors when they are switched on for a finite time interval with the aid of a Gaussian switching function. We begin by examining the response of a single detector before we go on to consider the case of two entangled detectors. As we shall see, working in (2 + 1) spacetime dimensions makes the computations of the transition probability rates of the detectors relatively simpler. We find that the cross transition probability rates of the two entangled detectors can be comparable to the auto transition probability rates of the individual detectors. We discuss specific characteristics of the response of the entangled detectors for different values of the parameters involved and highlight the effects of the thermal bath as well as switching on the detector for a finite time interval.

Circular motion analogue Unruh effect in a 2+1 thermal bath: robbing from the rich and giving to the poor

“…However, if we ignore the infrared divergence in the mode sum expression for W β , and informally apply to (A.8) the integral interchange manipulations of this appendix, we arrive again at (2.9): the informal integral interchanges can be interpreted as a regularisation of the infrared divergence in the transition rate. This regularisation of the transition rate can be applied even when the detector's coupling does not involve a time derivative [33].…”

“…The purpose of this paper is to address the circular motion Unruh effect when the ambient quantum field is prepared in a thermal state, with a positive ambient temperature. Related earlier analyses are given in [18,19,32,33].…”

Optimization of entanglement depends on the extremality and nonextremality of a black hole

“…In the last few decades, entanglement has also become an important arena for studying the dynamics of relativistic quantum particles, especially through particle detectors. Some of the directions that are considered in these study, broadly comprising the area of relativistic quantum information (RQI) [6][7][8][9][10][11][12][13][14][15], include understanding the radiative process of entangled relativistic particles [16][17][18][19][20][21][22][23][24], studying entanglement dynamics [25][26][27], studying entangled Unruh Otto engines [28,29], and entanglement swapping from background field to quantum probes [6,30,31]. In particular, the phenomenon of entanglement swapping, also known as entanglement harvesting, is becoming increasingly interesting due to the possibility of the entanglement being used for further quantum information purposes [32].…”

Optimization of entanglement harvesting depends on the extremality and nonextremality of a black hole

“…In the last few decades, entanglement has also become an important arena for studying the dynamics of relativistic quantum particles, especially through particle detectors. Some of the directions that are considered in these study, broadly comprising the area of relativistic quantum information (RQI) [6][7][8][9][10][11][12][13][14][15][16][17][18][19], include understanding the radiative process of entangled relativistic particles [20][21][22][23][24][25][26][27][28], studying entanglement dynamics [29][30][31], studying entangled Unruh Otto engines [32,33], and entanglement harvesting [7,12,34,35]. In particular, the phenomenon of entanglement harvesting is becoming increasingly interesting due to the possibility of the harvested entanglement being used for further quantum information purposes [36].…”