# Interaction-induced transition in the quantum chaotic dynamics of a disordered metal.

@article{Syzranov2019InteractioninducedTI, title={Interaction-induced transition in the quantum chaotic dynamics of a disordered metal.}, author={S V Syzranov and Alexey V. Gorshkov and Victor M. Galitski}, journal={Annals of physics}, year={2019}, volume={405} }

## 11 Citations

### Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model.

- PhysicsPhysical review letters
- 2018

Analytically and numerically it is shown that a generalized SYK model with an additional one-body infinite-range random interaction is still quantum chaotic and retains most of its holographic features for a fixed value of the perturbation and sufficiently high temperature.

### Early-Time Exponential Instabilities in Nonchaotic Quantum Systems.

- PhysicsPhysical review letters
- 2020

It is demonstrated that quantum mechanics can also play the opposite role and generate exponential instabilities in classically nonchaotic systems within this early-time window and suggest that classical-to-quantum correspondence in dynamics is violated in the OTOC even before quantum interference develops.

### Chaos and the dynamics of information in dissipative electronic systems

- PhysicsPhysical Review B
- 2019

The dynamics of chaotic systems are, by definition, exponentially sensitive to initial conditions and may appear rather random. In this work, we explore relations between the chaotic dynamics of an…

### Typical growth behavior of the out-of-time-ordered commutator in many-body localized systems

- PhysicsPhysical Review B
- 2019

We investigate the typicality of the growth behavior of the out-of-time-ordered commutator (OTOC) in the many-body localized (MBL) quantum spin chains across random disorder realizations. In the MBL…

### Energy-level statistics in strongly disordered systems with power-law hopping

- PhysicsPhysical Review B
- 2018

Motivated by neutral excitations in disordered electronic materials and systems of trapped ultracold particles with long-range interactions, we study energy-level statistics of quasiparticles with…

### Out-of-time-order correlators in finite open systems.

- PhysicsPhysical review. B
- 2018

It is demonstrated that for a system with discrete energy levels the OTOC saturates exponentially ∝Σa i e -t/τi + const to a constant value at t → ∞, in contrast with quantum-chaotic systems which exhibit exponential growth of OTOCs.

### Nonlinear sigma model approach to many-body quantum chaos: Regularized and unregularized out-of-time-ordered correlators

- PhysicsPhysical Review B
- 2018

The out-of-time-ordered correlators (OTOCs) have been proposed and widely used recently as a tool to define and describe many-body quantum chaos. Here, we develop the Keldysh non-linear sigma model…

### Cavity-QED simulator of slow and fast scrambling

- PhysicsPhysical Review A
- 2019

We study information scrambling, as diagnosed by the out-of-time order correlations (OTOCs), in a system of large spins collectively interacting via spatially inhomogeneous and incommensurate…

### Probing Scrambling Using Statistical Correlations between Randomized Measurements

- Computer SciencePhysical Review X
- 2019

We propose and analyze a protocol to study quantum information scrambling using statistical correlations between measurements, which are performed after evolving a quantum system from randomized…

### B 97 , 161114 ( R ) ( 2018 ) Rapid Communications Out-of-time-order correlators in finite open systems

- Physics
- 2018

S. V. Syzranov,1,2,3 A. V. Gorshkov,2,4 and V. Galitski2 1Department of Physics, University of California, Santa Cruz, California 95064, USA 2Joint Quantum Institute, NIST/University of Maryland,…

## References

SHOWING 1-10 OF 30 REFERENCES

### Slow scrambling in disordered quantum systems

- Physics
- 2017

Recent work has studied the growth of commutators as a probe of chaos and information scrambling in quantum many-body systems. In this work we study the effect of static disorder on the growth of…

### Quantum Butterfly Effect in Weakly Interacting Diffusive Metals

- Physics
- 2017

We study scrambling, an avatar of chaos, in a weakly interacting metal in the presence of random potential disorder. It is well known that charge and heat spread via diffusion in such an interacting…

### Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model.

- PhysicsPhysical review letters
- 2018

Analytically and numerically it is shown that a generalized SYK model with an additional one-body infinite-range random interaction is still quantum chaotic and retains most of its holographic features for a fixed value of the perturbation and sufficiently high temperature.

### Exact out-of-time-ordered correlation functions for an interacting lattice fermion model

- Physics
- 2017

Exact solutions for local equilibrium and nonequilibrium out-of-time-ordered correlation (OTOC) functions are obtained for a lattice fermion model with on-site interactions, namely the…

### Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System.

- PhysicsPhysical review letters
- 2017

The four-point correlator C(t) for the classical and quantum kicked rotor-a textbook driven chaotic system-is calculated and it is shown that the OTOC's growth rate and the Lyapunov exponent are, in general, distinct quantities, corresponding to the logarithm of the phase-space averaged divergence rate of classical trajectories and to thephase-space average of the logARithm, respectively.

### Out-of-time-order correlators in finite open systems.

- PhysicsPhysical review. B
- 2018

It is demonstrated that for a system with discrete energy levels the OTOC saturates exponentially ∝Σa i e -t/τi + const to a constant value at t → ∞, in contrast with quantum-chaotic systems which exhibit exponential growth of OTOCs.

### Scrambling and thermalization in a diffusive quantum many-body system

- Physics
- 2016

Out-of-time ordered (OTO) correlation functions describe scrambling of information in correlated quantum matter. They are of particular interest in incoherent quantum systems lacking well defined…

### Quantum Chaos in an Electron-Phonon Bad Metal

- Physics
- 2017

We calculate the scrambling rate $\lambda_L$ and the butterfly velocity $v_B$ associated with the growth of quantum chaos for a solvable large-$N$ electron-phonon system. We study a temperature…