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.

Prethermalization in the transverse-field Ising chain with long-range interactions

“…Prethermalization has been studied theoretically in several short-range interacting systems such as field theories [12,14,15], fermion systems [16][17][18][19][20][21], boson systems [22][23][24][25][26], and periodically driven systems [27][28][29][30]. Experimentally, prethermalization was observed in one-dimensional Bose gas after a coherent splitting [31][32][33].…”

Universal Prethermal Dynamics in Gross-Neveu-Yukawa Criticality

“…However, some long-lived prethermal states, which bring in additional universal initial state information into the dynamics, have been discovered [11][12][13][14][15][16][17]. Various causes for these effects have been proposed, including proximity to integrability [18][19][20][21][22][23], existence of a dynamical phase transition after a global quench [24][25][26][27][28][29][30][31][32][33][34][35], emergence of a non-thermal fixed point [36][37][38][39][40][41][42][43][44][45], nonlocal initial entanglement effects [46,47], and so on. Among these, short-time quantum critical dynamics have recently received considerable attention [48][49][50][51][52][53][54][55].…”

Nonequilibrium Charge Dynamics of Tomonaga–Luttinger Liquids in Quantum Hall Edge Channels

“…While the presence of many conserved quantities and the absence of thermalization processes have been discussed with cold atoms, [122,123] solid-state realization would open vast nonequilibrium many-body physics, including prethermalization and entanglement, to transport information. [112,116,124,125] The chiral heat transport is attractive for designing mesoscopic heat circuits, including heat engines and switches. [126,127] The nonthermal states may have advantages for better thermal performance.…”