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Area of Science:

  • Soft Condensed Matter Physics
  • Nonlinear Dynamics
  • Optical Trapping

Background:

  • Shapiro steps are quantized plateaus in the velocity-force relationship of driven systems, indicating constant velocity despite increasing driving force.
  • Integer Shapiro steps have been previously observed for microscopic particles in sinusoidal potentials.
  • Understanding synchronization phenomena in driven soft matter is crucial for developing novel materials and devices.

Purpose of the Study:

  • To investigate the emergence of fractional Shapiro steps in a driven colloidal particle system.
  • To explore the microscopic mechanisms underlying both integer and fractional Shapiro steps.
  • To demonstrate control over these steps by manipulating the optical potential and driving protocol.

Main Methods:

  • Driving a single colloidal particle through a time-modulated, non-sinusoidal periodic optical landscape.
  • Utilizing individual particle tracking to precisely measure particle position and velocity.
  • Engineering optical potentials with varying shapes and driving protocols.

Main Results:

  • Demonstrated the emergence of fractional Shapiro steps in addition to integer Shapiro steps.
  • Revealed the microscopic mechanisms responsible for the formation of both integer and fractional steps.
  • Showcased the ability to control Shapiro steps by adjusting the optical potential's shape and driving protocol.

Conclusions:

  • Fractional Shapiro steps can be generated in driven soft matter systems with non-sinusoidal potentials.
  • Optical engineering provides a flexible platform for studying and controlling synchronization phenomena at the single-particle level.
  • This work opens new avenues for exploring complex dynamics in driven soft condensed matter systems.