# 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…

Universal level statistics of the out-of-time-ordered operator

- PhysicsPhysical Review B
- 2019

Here, the authors introduce the ``Lyapunovian'' -- a new tool to study quantum chaos. It unifies the conventional random matrix theory approach with that based on the out-of-time-ordered correlator…

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.

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,…

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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

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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

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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…

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

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- 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.

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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…

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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…