The present application relates to a system for removing material from within an eye, the system comprising: a probe having a distal tip insertable into the eye and having an aspiration port; a console coupled with the port along an aspiration pathway, wherein the console comprises a processor and a pump system, and wherein the pump system comprises a first pump (48; 57) and a second pump (48; 57) adapted to provide a first pump aspiration level and a second aspiration level. The system is characterized in that the second pump is capable of a higher pump rate than the first pump, wherein the second aspiration level is higher than the first aspiration level; and in that the processor is configured to cycle between the aspiration levels sufficiently for transient-induced effects of the aspiration level to help break-up the material for aspiration through the port.