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Prethermalization and thermalization in entanglement dynamics
ID Bertini, Bruno (Author), ID Calabrese, Pasquale (Author)

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Abstract
We investigate the crossover of the entanglement entropy toward its thermal value in nearly integrable systems. We employ equations-of-motion techniques to study the entanglement dynamics in a lattice model of weakly interacting spinless fermions after a quantum quench. For weak enough interactions we observe a two-step relaxation of the entanglement entropies of finite subsystems. Initially, the entropies follow a nearly integrable evolution, approaching the value predicted by the generalized Gibbs ensemble (GGE) of the unperturbed model. Then, they start a slow drift toward the thermal stationary value described by a standard Gibbs ensemble (GE). While the initial relaxation to the GGE is independent of the interaction, the slow drift from GGE to GE values happens on timescales proportional to the inverse interaction squared. For asymptotically large times and subsystem sizes the dynamics of the entropies can be predicted using a modified quasiparticle picture that keeps track of the evolution of the fermionic occupations caused by the integrability breaking. This picture gives a quantitative description of the results as long as the integrability-breaking timescale is much larger than the one associated with the (quasi)saturation to the GGE. In the opposite limit, the quasiparticle picture still provides the correct late-time behavior, but it underestimates the initial slope of the entanglement entropy.

Language:English
Keywords:nonequilibrium statistical mechanics, entanglement entropy
Typology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Publication status:Published
Publication version:Author Accepted Manuscript
Year:2020
Number of pages:Str. 094303-1-094303-14
Numbering:Vol. 102, iss. 9
PID:20.500.12556/RUL-124031 This link opens in a new window
UDC:536.93
ISSN on article:2469-9950
DOI:10.1103/PhysRevB.102.094303 This link opens in a new window
COBISS.SI-ID:43059715 This link opens in a new window
Publication date in RUL:21.12.2020
Views:700
Downloads:433
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Record is a part of a journal

Title:Physical review
Publisher:American Physical Society
ISSN:2469-9950
COBISS.SI-ID:2997348 This link opens in a new window

Secondary language

Language:Slovenian
Keywords:neravnovesna statistična mehanika, prepletenostna entropija

Projects

Funder:EC - European Commission
Funding programme:H2020
Project number:694544
Name:Open Many-body Non-Equilibrium Systems
Acronym:OMNES

Funder:ARRS - Slovenian Research Agency
Project number:P1-0402
Name:Matematična fizika

Funder:EC - European Commission
Funding programme:H2020
Project number:771536
Name:New states of Entangled Matter Out of equilibrium
Acronym:NEMO

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