Quantum Chicken game under fluctuating quantum field

Abstract

In this paper, we study the quantum Chicken game under fluctuating massless scalar field subjected to a reflecting boundary. The noisy scheme of quantum Chicken game affected by fluctuating scalar field is constructed. Then we analyze the influences of vacuum fluctuation, two-atom separation and boundary on the game payoff and Nash equilibrium. It is shown that for different strategy profiles, vacuum fluctuation, two-atom distance and atom-boundary distance have different influences on game payoffs. Vacuum fluctuation and two-atom distance may produce positive or negative effects on game payoffs dependent on the specific strategies. It is found that boundary can effectively promote the game payoffs corresponding to those strategy profiles with which payoffs are degraded by vacuum fluctuation. Furthermore, Nash equilibrium of the game is broken under the influence of fluctuating quantum field, but the game symmetry does not change. For long-time evolution, ([Formula: see text]) and ([Formula: see text]) turn into new Nash equilibria. The results would be helpful for understanding and conducting quantum Chicken game in an open quantum system.