Quantum tunneling dynamics in a complex-valued Sachdev-Ye-Kitaev model quench-coupled to a cool bath

The Sachdev-Ye-Kitaev (SYK) model describes interacting fermionic zero modes in zero spatial dimensions, e.g. quantum dot, with interactions strong enough to completely washout quasiparticle excitations in the infrared. In this paper, we consider the complex-valued SYK model at initial temperature \...

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Bibliographic Details
Published in:arXiv.org 2021-09
Main Authors: Cheipesh, Y, Pavlov, A I, Ohanesjan, V, Schalm, K, Gnezdilov, N V
Format: Article
Language:English
Subjects:
Elementary excitations
Fermi liquids
Low temperature
Quantum dots
Quantum tunnelling
Subsystems
Temperature dependence
Online Access:Get full text
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Summary:The Sachdev-Ye-Kitaev (SYK) model describes interacting fermionic zero modes in zero spatial dimensions, e.g. quantum dot, with interactions strong enough to completely washout quasiparticle excitations in the infrared. In this paper, we consider the complex-valued SYK model at initial temperature \(T\) and chemical potential \(\mu\) coupled to a large reservoir by a quench at time \(t=0\). The reservoir is kept at zero temperature and charge neutrality. We find that the dynamics of the discharging process of the SYK quantum dot reveals a distinctive characteristic of the SYK non-Fermi liquid (nFl) state. In particular, we focus on the tunneling current induced by the quench. We show that the temperature dependent contribution to the current's half-life scales linearly in \(T\) at low temperatures for the SYK nFl state, while for the Fermi liquid it scales as \(T^2\).
ISSN:2331-8422
DOI:10.48550/arxiv.2011.05238