Chaos and random matrices in supersymmetric SYK

@article{HunterJones2017ChaosAR,
  title={Chaos and random matrices in supersymmetric SYK},
  author={Nicholas Hunter-Jones and Junyu Liu},
  journal={Journal of High Energy Physics},
  year={2017},
  volume={2018},
  pages={1-26}
}
A bstractWe use random matrix theory to explore late-time chaos in supersymmetric quantum mechanical systems. Motivated by the recent study of supersymmetric SYK models and their random matrix classification, we consider the Wishart-Laguerre unitary ensemble and compute the spectral form factors and frame potentials to quantify chaos and randomness. Compared to the Gaussian ensembles, we observe the absence of a dip regime in the form factor and a slower approach to Haar-random dynamics. We… 

On thermalization in the SYK and supersymmetric SYK models

A bstractThe eigenstate thermalization hypothesis is a compelling conjecture which strives to explain the apparent thermal behavior of generic observables in closed quantum systems. Although we are

Quantum ergodicity in the SYK model

A route from maximal chaoticity to integrability

: We study the chaos exponent of some variants of the Sachdev-Ye-Kitaev (SYK) model, namely, the N = 1 supersymmetry (SUSY)-SYK model and its sibling, the so-called ( N | M ) -SYK model which is not

Probing quantum chaos in multipartite systems

Understanding the emergence of quantum chaos in multipartite systems is challenging in the presence of interactions. We show that the contribution of the subsystems to the global behavior can be

Quantum chaos, scrambling and operator growth in $T\bar{T}$ deformed SYK models

: In this work, we investigate the quantum chaos in various T ¯ T -deformed SYK models with finite N , including the SYK 4 , the supersymmetric SYK 4 , and the SYK 2 models. We numerically study the

Spectral form factors and late time quantum chaos

This is a collection of notes about spectral form factors of standard ensembles in random matrix theory, written for the practical usage of the current study of late time quantum chaos. More

Note on global symmetry and SYK model

A bstractThe goal of this note is to explore the behavior of effective action in the SYK model with general continuous global symmetries. A global symmetry will decompose the whole Hamiltonian of a

Spectral decoupling in many-body quantum chaos

We argue that in a large class of disordered quantum many-body systems, the late time dynamics of time-dependent correlation functions is captured by random matrix theory, specifically the energy

Quantum complexity and the virial theorem

It is claimed that by applying the virial theorem to the group manifold, one can derive a generic relation between Kolmogorov complexity and computational complexity in the thermal equilibrium.

Supersymmetry in the Standard Sachdev-Ye-Kitaev Model.

The supersymmetry uncovered has a natural interpretation in terms of a one-dimensional topological phase supporting Sachdev-Ye-Kitaev boundary physics and has consequences away from the ground state, including in q-body dynamical correlation functions.

References

SHOWING 1-10 OF 69 REFERENCES

Supersymmetric SYK model and random matrix theory

A bstractIn this paper, we investigate the effect of supersymmetry on the symmetry classification of random matrix theory ensembles. We mainly consider the random matrix behaviors in the N=1$$

On thermalization in the SYK and supersymmetric SYK models

A bstractThe eigenstate thermalization hypothesis is a compelling conjecture which strives to explain the apparent thermal behavior of generic observables in closed quantum systems. Although we are

More on supersymmetric and 2d analogs of the SYK model

A bstractIn this paper, we explore supersymmetric and 2d analogs of the SYK model. We begin by working out a basis of (super)conformal eigenfunctions appropriate for expanding a four-point function.

A supersymmetric SYK-like tensor model

A bstractWe consider a supersymmetric SYK-like model without quenched disorder that is built by coupling two kinds of fermionic N=1$$ \mathcal{N}=1 $$ tensor-valued superfields, “quarks” and

Chaos in quantum channels

The butterfly effect in quantum systems implies the information-theoretic definition of scrambling, which shows that any input subsystem must have near vanishing mutual information with almost all partitions of the output.

Chaos, complexity, and random matrices

A bstractChaos and complexity entail an entropic and computational obstruction to describing a system, and thus are intrinsically difficult to characterize. In this paper, we consider time evolution

Chaos in AdS_{2} Holography.

A generic theory of gravity near a two-dimensional anti-de Sitter spacetime throat is rewritten as a novel hydrodynamics coupled to the correlation functions of a conformal quantum mechanics to find that the dual is maximally chaotic.

Black holes and random matrices

A bstractWe argue that the late time behavior of horizon fluctuations in large anti-de Sitter (AdS) black holes is governed by the random matrix dynamics characteristic of quantum chaotic systems.

A note on the SYK model with complex fermions

A bstractWe consider a version of the Sachdev-Ye-Kitaev model with complex fermions. We apply the shadow formalism to find four-point functions in the leading order in 1/N and dimensions of operators

Supersymmetric vacua in random supergravity

A bstractWe determine the spectrum of scalar masses in a supersymmetric vacuum of a general $ \mathcal{N}=1 $ supergravity theory, with the Kähler potential and superpotential taken to be random
...