Distinguishing Quantum Phases through Cusps in Full Counting Statistics

Understand

Measuring physical observables requires averaging experimental outcomes over numerous identical measurements.

• The complete distribution function of possible outcomes or its Fourier transform, known as the full counting statistics, provides a more detailed description.
• This method captures the fundamental quantum fluctuations in many-body systems and has gained significant attention in quantum transport research.
• In this letter, we propose that cusp singularities in the full counting statistics are a novel tool for distinguishing between ordered and disordered phases.