  We analyze the single-photon band structure and the transport of a single
photon in a one-dimensional coupled-spinning-resonator chain. The time-reversal
symmetry of the resonators chain is broken by the spinning of the resonators,
instead of external or synthetic magnetic field. Two nonreciprocal
single-photon band gaps can be obtained in the coupled-spinning-resonator
chain, whose width depends on the angular velocity of the spinning resonator.
Based on the nonreciprocal band gaps, we can implement a single photon
circulator at multiple frequency windows, and the direction of photon cycling
is opposite for different band gaps. In addition, reciprocal single-photon band
structures can also be realized in the coupled-spinning-resonator chain when
all resonators rotate in the same direction with equal angular velocity. Our
work open a new route to achieve, manipulate, and switch nonreciprocal or
reciprocal single-photon band structures, and provides new opportunities to
realize novel single-photon devices.
