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Bloch oscillations in a tilted band

What you are seeing: a particle in a 1D cosine band, driven by a uniform force FF. Quasi-momentum slides through the Brillouin zone at constant rate; group velocity flips sign at the zone boundary, and the position oscillates with period TB=h/(eFa)T_B = h / (eFa).

Figure 1. Band E(k)E(k) (top), particle position x(t)x(t) (bottom).
F (force)1.00
W (bandwidth)1.00

WHAT TO TRY

  • Vary each control and watch the rail readouts respond.
  • Compare the diagnostic plot against the live scene.