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

@article{Syzranov2018OutoftimeorderCI, title={Out-of-time-order correlators in finite open systems.}, author={S V Syzranov and Alexey V. Gorshkov and Victor M. Galitski}, journal={Physical review. B}, year={2018}, volume={97} }

We study out-of-time-order correlators (OTOCs) of the form 〈 A ^ ( t ) B ^ ( 0 ) C ^ ( t ) D ^ ( 0 ) 〉 for a quantum system weakly coupled to a dissipative environment. Such an open system may serve as a model of, e.g., a small region in a disordered interacting medium coupled to the rest of this medium considered as an environment. We demonstrate 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…

## 34 Citations

Dynamical scaling laws of out-of-time-ordered correlators

- PhysicsPhysical Review B
- 2019

The out-of-time-ordered correlator (OTOC) is central to the understanding of information scrambling in quantum many-body systems. In this work, we show that the OTOC in a quantum many-body system…

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…

Out-of-time-ordered correlators and quantum walks.

- PhysicsPhysical review. E
- 2019

Three separate cases of operators, variously localized in the coin and walker spaces, are discussed in this context and it is found that the approximated behavior of the OTOC is well described by simple algebraic functions in all three cases with different timescales of growth.

Numerical Methods for Many-Body Quantum Dynamics

- Physics
- 2019

A new truncation for matrix product operators is given, which reproduces local properties faithfully without reproducing non-local properties, and the utility of many-body localization as a medium for a thermodynamic engine is studied.

Maximum velocity quantum circuits

- PhysicsPhysical Review Research
- 2020

We consider the long-time limit of out-of-time-order correlators (OTOCs) in two classes of quantum lattice models with time evolution governed by local unitary quantum circuits and maximal butterfly…

Probing out-of-time-order correlators

- PhysicsJournal of High Energy Physics
- 2019

A bstractWe present a method to probe the Out-of-Time-Order Correlators (OTOCs) of a general system by coupling it to a harmonic oscillator probe. When the system’s degrees of freedom are traced out,…

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…

Dynamics in an exact solvable many body system: benchmark for quantum computer Out-of-Time-Order

- Physics
- 2022

Quantum magnets are never short of novel and fascinating dynamics, yet its simulation by classical computers requires exponentially-scaled computation resources, which renders the research on…

Scrambling and quantum feedback in a nanomechanical system

- PhysicsThe European Physical Journal D
- 2022

The question of how swiftly entanglement spreads over a system has attracted vital interest. In this regard, the out-of-time ordered correlator (OTOC) is a quantitative measure of the entanglement…

Scrambling in the Dicke model

- PhysicsPhysical Review A
- 2019

The scrambling rate $\lambda_L$ associated with the exponential growth of out-of-time-ordered correlators can be used to characterize quantum chaos. Here we use the Majorana Fermion representation of…

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