Decoherence entails exponential forgetting in systems complying with the eigenstate thermalization hypothesis
Autor(en): | Knipschild, Lars Gemmer, Jochen |
Stichwörter: | Optics; Physics; Physics, Atomic, Molecular & Chemical; QUANTUM; STATISTICAL-MECHANICS | Erscheinungsdatum: | 2019 | Herausgeber: | AMER PHYSICAL SOC | Journal: | PHYSICAL REVIEW A | Volumen: | 99 | Ausgabe: | 1 | Zusammenfassung: | According to the eigenstate thermalization ansatz, matrices representing generic few-body observables take on a specific form when displayed in the eigenbasis of a chaotic Hamiltonian. We examine the effect of environment-induced decoherence on the dynamics of observables that conform with said eigenstate thermalization ansatz. The obtained result refers to a description of the dynamics in terms of an integro-differential equation of motion of the Nakajima-Zwanzig form. We find that environmental decoherence is equivalent to an exponential damping of the respective memory kernel. This statement is formulated as a rigorous theorem. Furthermore, the implications of the theorem on the stability of exponential dynamics against decoherence and the transition towards Zeno freezing are discussed. |
ISSN: | 24699926 | DOI: | 10.1103/PhysRevA.99.012118 |
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