Abstract
When space (time) translation symmetry is spontaneously broken, the space crystal (time crystal) forms; when permittivity and permeability periodically vary with space (time), the photonic crystal (photonic time crystal) forms. We proposed the concept of photonic time crystal and rewritten the Maxwell’s equations. Utilizing Finite Difference Time Domain (FDTD) method, we simulated electromagnetic wave propagation in photonic time crystal and photonic space-time crystal, the simulation results show that more intensive scatter fields can obtained in photonic time crystal and photonic space-time crystal.
Highlights
When space translation symmetry is spontaneously broken, the space crystal forms; when permittivity and permeability periodically vary with space, the photonic crystal forms
Time independent systems possess continuous time translation symmetry, which is the most fundamental symmetry, and the spontaneous breaking of time translation symmetry leads to time crystal
Many researchers have made further investigations. They found that the time crystal exists again in non-equilibrium Floquet systems because of a loophole[6,7,8,9,10,11,12,13,14,15,16,17]
Summary
Lunwu Zeng[1], Jin Xu1, Chengen Wang[1], Jianhua Zhang[1], Yuting Zhao[1], Jing Zeng2 & Runxia Song[1]. They found that the time crystal exists again in non-equilibrium Floquet systems because of a loophole[6,7,8,9,10,11,12,13,14,15,16,17]. Under the condition of periodical-driven, the discrete time crystal (or Floquet time crystal) in non-equilibrium Floquet systems could form which broke time translation symmetry[8], the period of discrete time crystal is the integer multiple of the drive period[10,11]. Utilizing completely different quantum system, Choi et al.[12] and Zhang et al.[13] experimentally observed the same significant features of a time crystal state: oscillations at integer multiple of the drive period. Similar to space crystal in condensate matter, the photonic space crystal was proposed in electromagnetic system[18,19], we proposed photonic time crystal and photonic space-time crystal in electromagnetic system based on time crystal in condensate matter, and simulated electromagnetic wave propagation in one-dimensional (1D), two-dimensional (2D), three-dimensional (3D) photonic time crystal and photonic space-time crystal
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
