# Universal equilibration dynamics of the Sachdev-Ye-Kitaev model

@inproceedings{Bandyopadhyay2021UniversalED, title={Universal equilibration dynamics of the Sachdev-Ye-Kitaev model}, author={Soumik Bandyopadhyay and Philipp Uhrich and Alessio Paviglianiti and Philipp Hauke}, year={2021} }

Equilibrium quantum many-body systems in the vicinity of phase transitions generically manifest universality. In contrast, limited knowledge has been gained on possible universal characteristics in the non-equilibrium evolution of systems in quantum critical phases. In this context, universality is generically attributed to the insensitivity of observables to the microscopic system parameters and initial conditions. Here, we present such a universal feature in the equilibration dynamics of the…

## Figures and Tables from this paper

## 2 Citations

Thermalization of many many-body interacting Sachdev-Ye-Kitaev models

- PhysicsPhysical Review B
- 2022

We investigate the non-equilibrium dynamics of complex Sachdev-Ye-Kitaev (SYK) models in the q → ∞ limit, where q/2 denotes the order of the random Dirac fermion interaction. We extend previous…

Thermalization of many many-body interacting SYK models

- Physics
- 2021

We investigate the non-equilibrium dynamics of complex Sachdev-Ye-Kitaev (SYK) models in the q → ∞ limit, where q/2 denotes the order of the random Dirac fermion interaction. We extend previous…

## References

SHOWING 1-10 OF 158 REFERENCES

Observation of universal dynamics in a spinor Bose gas far from equilibrium

- PhysicsNature
- 2018

This work observes the emergence of universal dynamics far from equilibrium by evaluating spatially resolved spin correlations in a quasi-one-dimensional spinor Bose–Einstein condensate, and establishes an important class of non-stationary systems whose dynamics is encoded in time-independent scaling exponents and functions, signalling the existence ofnon-thermal fixed points.

Universal nonequilibrium properties of dissipative Rydberg gases.

- PhysicsPhysical review letters
- 2014

It is shown that the proper dynamical order parameter is in fact not the excitation density and evidence is found that the dynamical transition is in the "model A" universality class; i.e., it features a nontrivial Z2 symmetry and a dynamics with nonconserved order parameter.

Universal dynamics in an isolated one-dimensional Bose gas far from equilibrium

- PhysicsNature
- 2018

The results establish universal scaling dynamics in an isolated quantum many-body system, which is a crucial step towards characterizing time evolution far from equilibrium in terms of universality classes.

Non-equilibrium universality in the dynamics of dissipative cold atomic gases

- Physics
- 2015

The theory of continuous phase transitions predicts the universal collective properties of a physical system near a critical point, which for instance manifest in characteristic power-law behaviours…

Strongly Correlated Metal Built from Sachdev-Ye-Kitaev Models.

- PhysicsPhysical review letters
- 2017

This work exemplifies an analytically controlled study of a strongly correlated metal crossover in full detail, including thermodynamics, low temperature Landau quasiparticle interactions, and both electrical and thermal conductivity at all scales.

Thermalization and its mechanism for generic isolated quantum systems

- PhysicsNature
- 2008

It is demonstrated that a generic isolated quantum many-body system does relax to a state well described by the standard statistical-mechanical prescription, and it is shown that time evolution itself plays a merely auxiliary role in relaxation, and that thermalization instead happens at the level of individual eigenstates, as first proposed by Deutsch and Srednicki.

Dynamical equilibration across a quenched phase transition in a trapped quantum gas

- PhysicsCommunications Physics
- 2018

The formation of an equilibrium state from an uncorrelated thermal one through the dynamical crossing of a phase transition is a central question of quantum many-body physics. During such crossing,…

Colloquium
: Many-body localization, thermalization, and entanglement

- PhysicsReviews of Modern Physics
- 2019

Thermalizing quantum systems are conventionallydescribed by statistical mechanics at equilib-rium. However, not all systems fall into this category, with many-body localization providinga generic…

Inevitable power-law behavior of isolated many-body quantum systems and how it anticipates thermalization

- Physics
- 2016

Despite being ubiquitous, out-of-equilibrium quantum systems are much less understood than systems at equilibrium. Progress in the field has benefited from a symbiotic relationship between…

Quantum quench of the Sachdev-Ye-Kitaev model

- Physics
- 2017

We describe the non-equilibrium dynamics of the Sachdev-Ye-Kitaev models of fermions with all-to-all interactions. These provide tractable models of the dynamics of quantum systems without…