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Quantum chaos challenges many-body localization
Šuntajs, Jan (Avtor), Bonča, Janez (Avtor), Prosen, Tomaž (Avtor), Vidmar, Lev (Avtor)

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Izvleček
Characterizing states of matter through the lens of their ergodic properties is a fascinating new direction of research. In the quantum realm, the many-body localization (MBL) was proposed to be the paradigmatic ergodicity breaking phenomenon, which extends the concept of Anderson localization to interacting systems. At the same time, random matrix theory has established a powerful framework for characterizing the onset of quantum chaos and ergodicity (or the absence thereof) in quantum many-body systems. Here we numerically study the spectral statistics of disordered interacting spin chains, which represent prototype models expected to exhibit MBL. We study the ergodicity indicator $g=\mathrm{log}_{10}(t_H/t_{Th})$, which is defined through the ratio of two characteristic many-body time scales, the Thouless time $t_{Th}$ and the Heisenberg time $t_H$, and hence resembles the logarithm of the dimensionless conductance introduced in the context of Anderson localization. We argue that the ergodicity breaking transition in interacting spin chains occurs when both time scales are of the same order, $t_{Th} \approx t_H$, and g becomes a system-size independent constant. Hence, the ergodicity breaking transition in many-body systems carries certain analogies with the Anderson localization transition. Intriguingly, using a Berezinskii-Kosterlitz-Thouless correlation length we observe a scaling solution of g across the transition, which allows for detection of the crossing point in finite systems. We discuss the observation that scaled results in finite systems by increasing the system size exhibit a flow towards the quantum chaotic regime.

Jezik:Angleški jezik
Ključne besede:quantum statistical mechanics, quantum chaos
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:FMF - Fakulteta za matematiko in fiziko
Leto izida:2020
Št. strani:Str. 062144-1-062144-12
Številčenje:Vol. 102, iss. 6
UDK:536.93
ISSN pri članku:2470-0045
DOI:10.1103/PhysRevE.102.062144 Povezava se odpre v novem oknu
COBISS.SI-ID:46785795 Povezava se odpre v novem oknu
Število ogledov:168
Število prenosov:164
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Gradivo je del revije

Naslov:Physical review
Skrajšan naslov:Phys. rev., E
Založnik:American Physical Society
ISSN:2470-0045
COBISS.SI-ID:2048366611 Povezava se odpre v novem oknu

Gradivo je financirano iz projekta

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 (ARRS)
Številka projekta:P1-0044
Naslov:Teorija trdnih snovi in statistična fizika

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

Financer:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije (ARRS)
Številka projekta:J1-1696
Naslov:Diagnoza neravnovesne kvantne materije

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Jezik:Slovenski jezik
Ključne besede:kvantna statistična mehanika, kvantni kaos

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