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Warning: Cannot modify header information - headers already sent by (output started at /tmp/nav.phpUAaTs8:2) in /tmp/nav.phpUAaTs8 on line 7 Seminare der Theoretischen Physik
Correlated quantum systems in 1D have a long and impactful history in the study of quantum matter. Many analytical and numerical insights that remain elusive for their higher-dimensional analogues are now available for these systems. Yet, the understanding that these isolated 1D models afford cannot directly be translated to equivalent ones in 2D and 3D. Quasi-1D systems, higher-dimensional systems comprised of many 1D sub-units weakly coupled to one another, offer a way out of this dilemma. This presentation will review our recent results, obtained with several collaborating groups, in using such systems to bootstrap the considerable power of methods originally developed for 1D to key challenges for higher-dimensional models in the domain of correlated quantum matter. Specifically, this talk will show how designing a high-Tc superconducting model material in 3D from microscopic first principles is possible using this approach [1,2], as is the study of induced superconductivity evolving out of non-equilibrium dynamics [3], or the gaining of new insight into Kivelson’s long-standing proposal for reservoir-enhanced superconductivity [4,5]. It will further be shown how quasi-1D systems are ideal proving grounds for powerful new hybrid algorithms to treat correlated quantum matter in 2D and 3D [6,7].
[1] Phys. Rev. X 13, 011039 (2023).
[2] Phys. Rev. B 111, 125141 (2025).
[3] SciPost Phys. 15, 236 (2023).
[4] arXiv:2507.18707 (accepted as Letter in PRB).
[5] arXiv:2602.11153 (in review at PRB)
[6] arXiv:2411.00480.
[7] Phys. Rev. B 112, 205133 (2025).
