Interferometric Order Parameter for Excited-State Quantum Phase Transitions in Bose-Einstein Condensates

Year: 2021

Authors: Feldmann P., Klempt C., Smerzi A., Santos L., Gessner M.

Autors Affiliation: Leibniz Univ Hannover, Inst Theoret Phys, Appelstr 2, D-30167 Hannover, Germany; Leibniz Univ Hannover, Inst Quantenopt, Welfengarten 1, D-30167 Hannover, Germany; Leibniz Univ Hannover, Deutsch Zentrum Luft & Raumfahrt eV DLR, DLR SI, Inst Satellitengeodasie & Inertialsensor, Callinstr 36, D-30167 Hannover, Germany; CNR, INO, QSTAR, Largo Enrico Fermi 2, I-50125 Florence, Italy; Sorbonne Univ, Coll France, Univ PSL, Lab Kastler Brossel,ENS,CNRS, 24 Rue Lhomond, F-75005 Paris, France.

Abstract: Excited-state quantum phase transitions extend the notion of quantum phase transitions beyond the ground state. They are characterized by closing energy gaps amid the spectrum. Identifying order parameters for excited-state quantum phase transitions poses, however, a major challenge. We introduce a topological order parameter that distinguishes excited-state phases in a large class of mean-field models and can be accessed by interferometry in current experiments with spinor Bose-Einstein condensates. Our work opens a way for the experimental characterization of excited-state quantum phases in atomic many-body systems.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 126 (23)      Pages from: 230602-1  to: 230602-6

More Information: We thank Dmytro Bondarenko, Pavel Cejnar, Ignacio Cirac, and Reinhard Werner for valuable discussions. We acknowledge support by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under the SFB 1227 “DQ-mat”, project A02, and under Germany´s Excellence Strategy-EXC-2123 QuantumFrontiers-390837967, and by the LabEx ENSICFP: ANR-10-LABX-0010/ANR-10-IDEX-0001-02 PSL*.
KeyWords: monodromy; dynamics; systems
DOI: 10.1103/PhysRevLett.126.230602

Citations: 26
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