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

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Izvleček
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.

Jezik:Angleški jezik
Ključne besede:nonequilibrium statistical mechanics, entanglement entropy
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:FMF - Fakulteta za matematiko in fiziko
Status publikacije:Objavljeno
Različica publikacije:Recenzirani rokopis
Leto izida:2020
Št. strani:Str. 094303-1-094303-14
Številčenje:Vol. 102, iss. 9
PID:20.500.12556/RUL-124031 Povezava se odpre v novem oknu
UDK:536.93
ISSN pri članku:2469-9950
DOI:10.1103/PhysRevB.102.094303 Povezava se odpre v novem oknu
COBISS.SI-ID:43059715 Povezava se odpre v novem oknu
Datum objave v RUL:21.12.2020
Število ogledov:776
Število prenosov:436
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Gradivo je del revije

Naslov:Physical review
Založnik:American Physical Society
ISSN:2469-9950
COBISS.SI-ID:2997348 Povezava se odpre v novem oknu

Sekundarni jezik

Jezik:Slovenski jezik
Ključne besede:neravnovesna statistična mehanika, prepletenostna entropija

Projekti

Financer:EC - European Commission
Program financ.:H2020
Številka projekta:694544
Naslov:Open Many-body Non-Equilibrium Systems
Akronim:OMNES

Financer:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Številka projekta:P1-0402
Naslov:Matematična fizika

Financer:EC - European Commission
Program financ.:H2020
Številka projekta:771536
Naslov:New states of Entangled Matter Out of equilibrium
Akronim:NEMO

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