Resonant Tunneling in Scalar Quantum Field Theory

Understand

The resonant tunneling phenomenon is well understood in quantum mechanics.

• We argue why a similar phenomenon must be present in quantum field theory.
• We then use the functional Schr\"odinger method to show how resonant tunneling through multiple barriers takes place in quantum field theory with a single scalar field.
• We also show how this phenomenon in scalar quantum field theory can lead to an exponential enhancement of the single-barrier tunneling rate.