Beyond Standard Solutions: Exploring Schrödinger’s Equation with Time Delays
New research delves into the existence and properties of complex solutions to the Schrödinger equation when faced with time-delayed potentials, expanding the possibilities for modeling quantum systems.






![Impurity challenges within thermal baths can be effectively modeled using a Wilson chain approach with a length cutoff [latex]\Lambda_{imp}[/latex] for non-interacting systems, but strongly-correlated baths necessitate representation via local tensors defined across impurity and bulk regions-also demarcated by [latex]\Lambda_{imp}[/latex]-allowing the impurity itself to function as a quantum probe for diagnosing quantum critical regions and associated crossovers during quantum phase transitions.](https://arxiv.org/html/2601.04729v1/main_text/Fig1.png)