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A: Fachverband Atomphysik

A 26: Poster – Ultracold Matter (joint session Q/A)

A 26.7: Poster

Wednesday, March 4, 2026, 17:00–19:00, Philo 2. OG

Supersolid from first principles with Complex Langevin. — •Luca Falzoni¹, Philipp Heinen¹, and Thomas Gasenzer^1,2,3 — ¹Kirchhoff-Institut für Physik, Uni Heidelberg, Im Neuenheimer Feld 227, 69120 Heidelberg — ²Institut für Theoretische Physik, Uni Heidelberg, Philosophenweg 16, 69120 Heidelberg — ³ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung, Planckstraße 1, 64291 Darmstadt, Germany

The experimental observation of supersolidity in dipolar gases preceded its theoretical understanding, as the supersolid phase is predicted to be unstable within the extended Gross–Pitaevskii equation (eGPE). Current theoretical stabilization relies on heuristic corrections, typically implemented via an ad-hoc ∝|ψ|⁵ term motivated by the Lee–Huang–Yang (LHY) contribution. To consistently go beyond the LHY correction, a quantum-exact approach is required. In this work, we demonstrate that the Complex Langevin method provides a fully non-perturbative, first–principles description of the supersolid regime and successfully captures the emergence of stable supersolid states.

Keywords: Supersolid; Complex Langevin; Dipolar BEC; Ultracold atoms