Universal scaling at a prethermal dark state
Year: 2022
Authors: Syed M., Enss T., Defenu N.
Autors Affiliation: Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England; Heidelberg Univ, Inst Theoret Phys, D-69120 Heidelberg, Germany; Swiss Fed Inst Technol, Inst Theoret Phys, Wolfgang Pauli Str 27, CH-8093 Zurich, Switzerland.
Abstract: Recent experimental and theoretical progress as well as the prospect of commercially viable quantum technologies have inspired great interest in the study of open quantum systems and their dynamics. Many open quantum systems are well described by an effective non-Hermitian Hamiltonian generating a time evolution that allows eigenstates to decay and dissipate to the environment. In this framework, quantum coherent scaling is traditionally tied to the appearance of dark states, where the effect of dissipation becomes negligible. Here, we discuss the universal dynamical scaling after a sudden quench of the non-Hermitian O(N) model Hamiltonian. While universality is generally spoiled by non-Hermiticity, we find that for a given set of internal parameters short-time scaling behavior is restored with an initial slip exponent profoundly different from that of closed quantum systems. This result is tied to the compensation of dissipation by interaction effects at short times leading to a prethermal dark state, where coherent many-body dynamics can be still observed.
Journal/Review: PHYSICAL REVIEW B
Volume: 105 (22) Pages from: 224302-1 to: 224302-10
More Information: N. D. acknowledges fruitful exchange with A. Chiocchetta. This work is supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation), Project-ID No. 273811115 (SFB1225 ISOQUANT) and under Germany’s Excellence Strategy EXC2181/1-390900948 (the Heidelberg STRUCTURES Excellence Cluster).KeyWords: Parity-time Symmetry; Quantum; DynamicsDOI: 10.1103/PhysRevB.105.224302Citations: 3data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-10-20References taken from IsiWeb of Knowledge: (subscribers only)