An introduction to the SYK model
V Rosenhaus - Journal of Physics A: Mathematical and …, 2019 - iopscience.iop.org
Abstract The Sachdev–Ye–Kitaev (SYK) model is a strongly coupled, quantum many-body
system that is chaotic, nearly conformally invariant, and exactly solvable. This remarkable …
system that is chaotic, nearly conformally invariant, and exactly solvable. This remarkable …
Symmetry of open quantum systems: Classification of dissipative quantum chaos
We develop a theory of symmetry in open quantum systems. Using the operator-state
mapping, we characterize symmetry of Liouvillian superoperators for the open quantum …
mapping, we characterize symmetry of Liouvillian superoperators for the open quantum …
Eternal traversable wormhole
J Maldacena, XL Qi - arXiv preprint arXiv:1804.00491, 2018 - arxiv.org
We construct a nearly-$ AdS_2 $ solution describing an eternal traversable wormhole. The
solution contains negative null energy generated by quantum fields under the influence of …
solution contains negative null energy generated by quantum fields under the influence of …
Operator complexity: a journey to the edge of Krylov space
E Rabinovici, A Sánchez-Garrido, R Shir… - Journal of High Energy …, 2021 - Springer
A bstract Heisenberg time evolution under a chaotic many-body Hamiltonian H transforms
an initially simple operator into an increasingly complex one, as it spreads over Hilbert …
an initially simple operator into an increasingly complex one, as it spreads over Hilbert …
Operator dynamics in Lindbladian SYK: a Krylov complexity perspective
A bstract We use Krylov complexity to study operator growth in the q-body dissipative
Sachdev-Ye-Kitaev (SYK) model, where the dissipation is modeled by linear and random p …
Sachdev-Ye-Kitaev (SYK) model, where the dissipation is modeled by linear and random p …
Pure states in the SYK model and nearly- gravity
I Kourkoulou, J Maldacena - arXiv preprint arXiv:1707.02325, 2017 - arxiv.org
We consider pure states in the SYK model. These are given by a simple local condition on
the Majorana fermions, evolved over an interval in Euclidean time to project on to low …
the Majorana fermions, evolved over an interval in Euclidean time to project on to low …
Krylov complexity as an order parameter for quantum chaotic-integrable transitions
Krylov complexity has recently emerged as a new paradigm to characterize quantum chaos
in many-body systems. However, which features of Krylov complexity are prerogative of …
in many-body systems. However, which features of Krylov complexity are prerogative of …
Ultra-stable charging of fast-scrambling SYK quantum batteries
A bstract Collective behavior strongly influences the charging dynamics of quantum batteries
(QBs). Here, we study the impact of nonlocal correlations on the energy stored in a system of …
(QBs). Here, we study the impact of nonlocal correlations on the energy stored in a system of …
Exponential ramp in the quadratic sachdev-ye-kitaev model
A long period of linear growth in the spectral form factor provides a universal diagnostic of
quantum chaos at intermediate times. By contrast, the behavior of the spectral form factor in …
quantum chaos at intermediate times. By contrast, the behavior of the spectral form factor in …
Sparse Sachdev-Ye-Kitaev model, quantum chaos, and gravity duals
We study a sparse Sachdev-Ye-Kitaev (SYK) model with N Majoranas where only∼ k N
independent matrix elements are nonzero. We identify a minimum k≳ 1 for quantum chaos …
independent matrix elements are nonzero. We identify a minimum k≳ 1 for quantum chaos …