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Butterfly Effect in a System of Quantum Dots in the Sachdev–Ye–Kitaev Model
JETP Letters. 2022. Vol. 115. No. 5. P. 297-304.
Lunkin A.
A method has been proposed to calculate the out-of-time time ordered correlator in the generalization of the Sachdev–Ye–Kitaev model with a nonzero spatial dimension. The result is applicable not only at small times, when the chaotic properties of the system are developed weakly, but also at large times of about the Erenfest time. It has been shown that information on the applied perturbation, which is described by this correlator, propagates ballistically in the form of a front. The velocity of the front for models of this type has been calculated for the first time.
Keywords: Sachdev-Ye-Kitaev model
Publication based on the results of:
A.V. Lunkin, Kitaev A. Y., M.V. Feigel’man, Physical Review Letters 2020 Vol. 125 No. 19 P. 196602-1-196602-6
We study the Sachdev-Ye-Kitaev (SYK4) model with a weak SYK2 term of magnitude Γ beyond the simplest perturbative limit considered previously. For intermediate values of the perturbation strength, J/N≪Γ≪J/√N, fluctuations of the Schwarzian mode are suppressed, and the SYK4 mean-field solution remains valid beyond the timescale t0∼N/J up to t∗∼J/Γ2. The out-of-time-order correlation function displays at short time intervals exponential growth with maximal Lyapunov exponent 2πT, ...
Added: November 12, 2020
Lunkin A., Feigelman M., SCIPOST PHYSICS 2022 Vol. 12 Article 031
We consider a non-equilibrium generalization of the mixed SYK$_4$+SYK$_2$ model and calculate the energy dissipation rate $W(\omega)$ that results due to periodic modulation of random quadratic matrix elements with a frequency $\omega$. We find that $W(\omega)$ possesses a peak at $\omega$ close to the polaron energy splitting $\omega_R$ found recently (PRL 125, 196602), demonstrating the ...
Added: June 24, 2022
Aleksey V. Lunkin, Mikhail V. Feigel’man, SCIPOST PHYSICS 2022 Vol. 13 Article 073
We study an array of strongly correlated quantum dots of complex SYK type and account
for the effects of quadratic terms added to the SYK Hamiltonian; both local terms and
inter-dot tunneling are considered in the non-Fermi-liquid temperature range T>>T_FL .
We take into account soft-mode fluctuations and demonstrate their relevance for physical observables. Electric σ(ω, p) and ...
Added: December 3, 2022
Lunkin A., Feigelman M., / Cornell University. Series cond-mat "arxiv.org". 2022.
We study an array of strongly correlated quantum dots of complex SYK type and account for the effects of quadratic terms added to the SYK Hamiltonian; both local terms and inter-dot tunneling are considered in the non-Fermi-liquid temperature range T≫TFL. Electric σ(ω,p) and thermal κ(ω,p) conductivities are calculated as functions of frequency and momentum, for ...
Added: June 24, 2022
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Zirconium trihydride and, for comparison, trideuteride with hexagonal close-packed (hcp) metal lattices
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We demonstrate that magnetoresistance of creeping charge-density waves in the quasi-one-dimensional
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M. : Faculty of Physics, MSU, 2017
The Low Temperature Physics Conference is an international event held every three years, under the auspices of the IUPAP through its Commission C5 on Low Temperature Physics. The aim of these conferences is to exchange information and views among the members of the international scientific community in the general field of Low Temperature Physics. It ...
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FeCo and FeNi alloyed nanowires (NW) were obtained by the matrix synthesis method: the effect of the
growth voltage and the effect of using a reference electrode were studied. It is shown that the composition of
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fcc), and it is also ...
Added: November 12, 2021
М. : National Instruments Russia, 2017
Содержание сборника составляют доклады с результатами оригинальных исследований и технических решений, ранее не публиковавшиеся. Мы надеемся, что предлагаемый сборник окажется полезным для специалистов, работающих в различных областях науки и техники, для широкого круга преподавателей, аспирантов и студентов ВУЗов, а также для преподавателей средних школ и технических колледжей. ...
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Aaij R., Abdelmotteleb A. S., Abellan Beteta C. et al., The European Physical Journal C - Particles and Fields 2023 Vol. 83 Article 543
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In this work, we present for the first time the Lyman α intensities measured by Voyager 1/UVS in 2003–2014 (at 90–130 AU from the Sun). During this period Voyager 1 measured the Lyman α emission in the outer heliosphere at an almost fixed direction close to the upwind (i.e.“ toward the interstellar flow). The data show an unexpected behavior in 2003–2009: the ...
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We present results of nuclear magnetic resonance (NMR) experiments in superfluid 3He in two samples of nematic aerogel consisting of nearly parallel mullite strands. The samples were cut from the same piece of the aerogel, but one of them was squeezed by 30% in the direction transverse to the strands. In both samples the superfluid ...
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The parameters of unstable short-living isotopes are studied from
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Sequential state discrimination is a strategy for quantum state discrimination of a sender’s quantum
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