Theory of fluctuations in a network of parallel superconducting wires

► Classical fluctuations in a network of parallel superconducting wires can be treated exactly. ► Partition function of a 2D at finite T network can be mapped into a 2D quantum mechanics problem at zero kelvin. ► In presence of vector potential parallel to the wires, partition function maps onto a 2D non-Hermitian quantum mechanics problem with an imaginary magnetic field. ► An approximate phase diagram for these problems can be calculated using mean field theory, even for non-Hermitian case.