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Exact dynamics in dual-unitary quantum circuits
ID Piroli, Lorenzo (Avtor), ID Bertini, Bruno (Avtor), ID Cirac, J. Ignacio (Avtor), ID Prosen, Tomaž (Avtor)

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Izvleček
We consider the class of dual-unitary quantum circuits in 1 + 1 dimensions and introduce a notion of “solvable” matrix product states (MPSs), defined by a specific condition which allows us to tackle their time evolution analytically. We provide a classification of the latter, showing that they include certain MPSs of arbitrary bond dimension, and study analytically different aspects of their dynamics. For these initial states, we show that while any subsystem of size l reaches infinite temperature after a time t ∝ l, irrespective of the presence of conserved quantities, the light cone of two-point correlation functions displays qualitatively different features depending on the ergodicity of the quantum circuit, defined by the behavior of infinite-temperature dynamical correlation functions. Furthermore, we study the entanglement spreading from such solvable initial states, providing a closed formula for the time evolution of the entanglement entropy of a connected block. This generalizes recent results obtained in the context of the self-dual kicked Ising model. By comparison, we also consider a family of nonsolvable initial mixed states depending on one real parameter β, which, as β is varied from zero to infinity, interpolate between the infinite-temperature density matrix and arbitrary initial pure product states. We study analytically their dynamics for small values of β, and highlight the differences from the case of solvable MPSs.

Jezik:Angleški jezik
Ključne besede:quantum mechanics, nonlinear statistical mechanics
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. 094304-1-094304-16
Številčenje:Vol. 101, iss. 9
PID:20.500.12556/RUL-117818 Povezava se odpre v novem oknu
UDK:536.93
ISSN pri članku:2469-9950
DOI:10.1103/PhysRevB.101.094304 Povezava se odpre v novem oknu
COBISS.SI-ID:23769347 Povezava se odpre v novem oknu
Datum objave v RUL:28.07.2020
Število ogledov:1098
Število prenosov:296
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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

Licence

Licenca:CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
Povezava:http://creativecommons.org/licenses/by/4.0/deed.sl
Opis:To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.
Začetek licenciranja:28.07.2020

Sekundarni jezik

Jezik:Slovenski jezik
Ključne besede:kvantna mehanika, nelinearna statistična mehanika

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

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