Entanglement prethermalization in the Tomonaga-Luttinger model

Abstract

Prethermalization refers to the relaxation to a quasi-stationary state before reaching thermal equilibrium. Recently, it is found that not only local conserved quantities but also entanglement plays a key role in a special type of prethermalization, called entanglement prethermalization. Here, we show that in the Tomonaga-Luttinger model the entanglement prethermalization can also be explained by the conventional prethermalization of two independent subsystems without entanglement. Moreover, it is argued that prethermalization in the Tomonaga-Luttinger model is essentially different from entanglement prethermalization in the Lieb-Liniger model because of the different types of energy degeneracies.

9 pages

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Cited by in corpus (4)

• Unbounded entropy production and violent fragmentation for repulsive-to-attractive interaction quench in long-range interacting systems
• Poor man's approach to thermalization in Luttinger liquid
• Non-thermal Tomonaga-Luttinger liquid eventually emerging from hot electrons in the quantum Hall regime
• Transitionless Quantum Driving of the Tomonaga-Luttinger Liquid