Are Casimir Effect and Quantum Tunnelling dependent on each other? Also, is it reasonable to conclude that if Casimir Effect is already observed in a system, then Quantum Tunnelling has also taken place (or vice versa)? Alternatively, can both the phenomena be observed simultaneously in a single system?
A basic answer:
Casimir effect and Quantum Tunneling are independent of each other - unless you want to view the probabilistic behavior of quantum world as the common factor in both phenomena.
Quantum tunneling is when a quantum particle "surmounts" a potential wall with energy larger than the energy of the particle. Casimir effect is the apparent attraction of two plates, which is due to quantum fluctuations (appearance and annihilation of particles) and limiting of particles of certain energies inside the plates.