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Measuring the imaginary-time dynamics of quantum materials

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ABSTRACT Theoretical analysis typically involves imaginary-time correlation functions. Inferring real-time dynamical response functions from this information is notoriously difficult. However, as we articulate here, it is straightforward to compute imaginary-time… Click to show full abstract

ABSTRACT Theoretical analysis typically involves imaginary-time correlation functions. Inferring real-time dynamical response functions from this information is notoriously difficult. However, as we articulate here, it is straightforward to compute imaginary-time correlators from the measured frequency dependence of (real-time) response functions. In addition to facilitating comparison between theory and experiment, the proposed approach can be useful in extracting certain aspects of the (long-time relaxational) dynamics from a complex data set. We illustrate this with an analysis of the nematic response inferred from Raman scattering spectroscopy on the iron-based superconductor , which includes a new method for identifying a putative quantum-critical contribution to that response.

Keywords: dynamics quantum; time dynamics; response; time; measuring imaginary; imaginary time

Journal Title: Philosophical Magazine
Year Published: 2019

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