Complex scaling flows in the quench dynamics of interacting particles

Year: 2022

Authors: Enss T., Braatz NC., Gori G.

Autors Affiliation: Heidelberg Univ, Inst Theoret Phys, D-69120 Heidelberg, Germany.

Abstract: Many-body systems driven out of equilibrium can exhibit scaling flows of the quantum state. For a sudden quench to resonant interactions between particles we construct a class of analytical scaling solutions for the time evolved wave function with a complex scale parameter. These solutions determine the exact dynamical scaling of observables such as the pair correlation function, the contact and the fidelity. We give explicit examples of the nonequilibrium dynamics for two trapped fermions or bosons quenched to unitarity, for ideal Bose polarons, and for resonantly interacting, Borromean three-body systems. These solutions reveal universal scaling properties of interacting many-body systems that arise from the buildup of correlations at short times after the quench.

Journal/Review: PHYSICAL REVIEW A

Volume: 106 (1)      Pages from: 13308-1  to: 13308-9

More Information: We thank N. Defenu, M. Drescher, J. Maki, J. Thywissen, and W. Zwerger for useful discussions. This work is supported by the Deutsche Forschungsgemeinschaft (German Research Foundation), project-ID 273811115 (SFB1225 ISOQUANT) and under Germany’s Excellence Strategy EXC2181/1-390900948 (the Heidelberg STRUCTURES Excellence Cluster).
KeyWords: Fermi; Atoms
DOI: 10.1103/PhysRevA.106.013308