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Entanglement prethermalization in the Tomonaga-Luttinger model

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Prethermalization refers to the relaxation to a quasistationary state before reaching thermal equilibrium. Recently, it was found that not only local conserved quantities but also entanglement plays a key role… Click to show full abstract

Prethermalization refers to the relaxation to a quasistationary state before reaching thermal equilibrium. Recently, it was found that not only local conserved quantities but also entanglement plays a key role in a special type of prethermalization, which we refer to as entanglement prethermalization. Here, we show that in the Tomonaga-Luttinger model 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.

Keywords: entanglement prethermalization; prethermalization tomonaga; luttinger model; prethermalization; tomonaga luttinger

Journal Title: Physical Review A
Year Published: 2018

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