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The investigation of novel electronic phases in low-dimensional quantummaterials demands for the concurrent development of new measurement techniquesthat combine surface sensitivity with high spatial resolution and highmeasurement accuracy. We propose a new quantum sensing imaging modality basedon superconducting charge qubits to study dissipative charge carrier dynamicswith nanometer spatial and high temporal resolution. Using analytical andnumerical calculations we show that superconducting charge qubit microscopy(SCQM) has the potential to resolve temperature and resistivity changes in asample as small as $\Delta T\leq0.1\;$mK and $\Delta\rho\leq1\cdot10^{4}\,\Omega\cdot$cm, respectively. Among other applications, SCQM will beespecially suited to study the microscopic mechanisms underlying interactiondriven quantum phase transitions, to investigate the boundary modes found innovel topological insulators and, in a broader context, to visualize thedissiaptive charge carrier dynamics occurring in mesoscopic and nanoscaledevices.

Visualizing dissipative charge carrier dynamics at the nanoscale with superconducting charge qubit microscopy