Out-of-equilibrium phase diagram of long-range superconductors
Year: 2020
Authors: Uhrich P., Defenu N., Jafari R., Halimeh J.C.
Autors Affiliation: Heidelberg Univ, Kirchhoff Inst Phys, D-69120 Heidelberg, Germany; Heidelberg Univ, Inst Theoret Phys, D-69120 Heidelberg, Germany; Ecole Polytech Fed Lausanne, Inst Phys, CH-1015 Lausanne, Switzerland; IASBS, Dept Phys, Zanjan 4513766731, Iran; Univ Gothenburg, Dept Phys, SE-41296 Gothenburg, Sweden; Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany.
Abstract: Within the ultimate goal of classifying universality in quantum many-body dynamics, understanding the relation between out-of-equilibrium and equilibrium criticality is a crucial objective. Models with power-law interactions exhibit rich well-understood critical behavior in equilibrium, but the out-of-equilibrium picture has remained incomplete, despite recent experimental progress. We construct the rich dynamical phase diagram of free-fermionic chains with power-law hopping and pairing and provide analytic and numerical evidence showing a direct connection between nonanalyticities of the return rate and zero crossings of the string order parameter. Our results may explain the experimental observation of so-called accidental dynamical vortices, which appear for quenches within the same topological phase of the Haldane model, as reported by Flaschner et al. [Nat. Phys. 14, 265 (2018)]. Our work is readily applicable to modern ultracold-atom experiments, not least because state-of-the-art quantum gas microscopes can now reliably measure the string order parameter, which, as we show, can serve as an indicator of dynamical criticality.
Journal/Review: PHYSICAL REVIEW B
Volume: 101 (24) Pages from: 245148-1 to: 245148-15
More Information: J.C.H. is grateful to J. C. Budich, M. Heyl, and S. T. Joyner for stimulating discussions and valuable comments on various aspects of this project. J.C.H. is grateful to C. Weitenberg for fruitful discussions, and for valuable comments on and a thorough reading of our manuscript. J.C.H. and P.U. acknowledge support from the European Union’s Horizon 2020 ERC-2018-STG project StrEnQTh Strong Entanglement in Quantum many-body Theory Grant No. (GA 804305). This work has been supported by the Deutsche Forschungsgemeinschaft (DFG) via Collaborative Research Centre SFB 1225 (ISO-QUANT) and under Germany’s Excellence Strategy, Grant No.EXC2181/1-390900948 (Heidelberg STRUCTURES Excellence Cluster).KeyWords: Renormalization-group; QuantumDOI: 10.1103/PhysRevB.101.245148ImpactFactor: 4.036Citations: 46data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-11-10References taken from IsiWeb of Knowledge: (subscribers only)
