Turbulence and Spatial Correlation of Currents in Quantum Chaos

We have found spatial decoherence (loss of phase coherence between distant points in space) of quantum states and chaotic behavior (“turbulence”) of quantum-mechanical currents for a nonlinear oscillator in a magnetic field. Use of quantum currents is dictated by the fact that they are simultaneously phase-sensitive and gauge-invariant measures. The theory is applicable to an electron in a quantum dot with soft confining potential in a magnetic field.