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Impact of nonequilibrium fluctuations on prethermal dynamical phase transitions in long-range interacting spin chains
Lerose, Alessio (Avtor), Žunkovič, Bojan (Avtor), Marino, Jamir (Avtor), Gambassi, Andrea (Avtor), Silva, Alessandro (Avtor)

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Izvleček
We study the nonequilibrium phase diagram and the dynamical phase transitions occurring during the prethermalization of nonintegrable quantum spin chains, subject to either quantum quenches or linear ramps of a relevant control parameter. We consider spin systems in which long-range ferromagnetic interactions compete with short-range, integrability-breaking terms. We capture the prethermal stages of the nonequilibrium evolution via a time-dependent spin-wave expansion at leading order in the spin-wave density. In order to access regimes with strong integrability breaking, instead, we perform numerical simulations based on the time-dependent variational principle with matrix product states. By investigating a large class of quantum spin models, we demonstrate that nonequilibrium fluctuations can significantly affect the dynamics near critical points of the phase diagram, resulting in a chaotic evolution of the collective order parameter, akin to the dynamics of a classical particle in a multiple-well potential subject to quantum friction. We also elucidate the signature of this novel dynamical phase on the time-dependent correlation functions of the local order parameter. We finally establish a connection with the notion of dynamical quantum phase transition associated with a possible nonanalytic behavior of the return probability amplitude, or Loschmidt echo, showing that the latter displays cusps whenever the order parameter vanishes during its real-time evolution.

Jezik:Angleški jezik
Ključne besede:quantum mechanics, nonequilibrium statistical mechanics, spin chains
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:FMF - Fakulteta za matematiko in fiziko
Leto izida:2019
Št. strani:Str. 045128-1-045128-28
Številčenje:Vol. 99, iss. 4
UDK:536.93
ISSN pri članku:2469-9950
DOI:10.1103/PhysRevB.99.045128 Povezava se odpre v novem oknu
COBISS.SI-ID:3301732 Povezava se odpre v novem oknu
Število ogledov:519
Število prenosov:442
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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

Gradivo je financirano iz projekta

Financer:EC - European Commission
Program financ.:H2020
Številka projekta:694544
Naslov:Open many-body non-equilibrium systems
Akronim:OMNES

Sekundarni jezik

Jezik:Slovenski jezik
Ključne besede:kvantna mehanika, neravnovesna statistična mehanika, spinske verige

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