# From ETH to algebraic relaxation of OTOCs in systems with conserved quantities

@inproceedings{Balachandran2021FromET, title={From ETH to algebraic relaxation of OTOCs in systems with conserved quantities}, author={Vinitha Balachandran and Giuliano Benenti and Giulio Casati and Dario Poletti}, year={2021} }

Vinitha Balachandran, Giuliano Benenti, 3, 4 Giulio Casati, 5 and Dario Poletti 6 Science, Mathematics and Technology Cluster, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore Center for Nonlinear and Complex Systems, Dipartimento di Scienza e Alta Tecnologia, Università degli Studi dell’Insubria, via Valleggio 11, 22100 Como, Italy Istituto Nazionale di Fisica Nucleare, Sezione di Milano, via Celoria 16, 20133 Milano, Italy NEST, Istituto Nanoscienze-CNR, I-56126…

## One Citation

### Benchmarking Quantum Simulators

- Physics, Computer Science
- 2021

Time-averaged mixed-state equivalence (TAME) is used to benchmark quantum simulators with classical computing resources. The classical computation is feasible even if direct computation of the…

## References

SHOWING 1-10 OF 81 REFERENCES

### Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws

- Physics
- 2017

Thermalization and scrambling are the subject of much recent study from the perspective of many-body quantum systems with locally bounded Hilbert spaces (`spin chains'), quantum field theory and…

### The density-matrix renormalization group in the age of matrix product states

- Computer Science
- 2011

### Positive quantum Lyapunov exponents in experimental systems with a regular classical limit.

- PhysicsPhysical review. E
- 2020

It is shown that for experimentally accessible parameters, OTOCs can grow exponentially also when the Dicke model is in the regular regime, and the same holds for the Lipkin-Meshkov-Glick model, which is integrable and also experimentally realizable.

### Operator Spreading in Random Unitary Circuits

- Physics
- 2017

Random quantum circuits yield minimally structured models for chaotic quantum dynamics, which are able to capture, for example, universal properties of entanglement growth. We provide exact results…

### 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…

### Emergent locality in systems with power-law interactions

- PhysicsPhysical Review A
- 2019

While the interactions are long-range, their effect on information spreading is asymptotically negligible as long as $\alpha>1$, which directly implies that all previously obtained rigorous bounds on information spread in long- range interacting systems are not tight, and thus could be improved.

### Matrix product states approaches to operator spreading in ergodic quantum systems

- Computer SciencePhysical Review B
- 2019

It is found that for the Schrodinger picture the TDVP algorithm performs better than the TEBD algorithm, and the tails of the OTOC are accurately obtained both by TDVP MPS and TEBD MPO.

### Quantum and Classical Lyapunov Exponents in Atom-Field Interaction Systems.

- PhysicsPhysical review letters
- 2019

The exponential growth of the out-of-time-ordered correlator (OTOC) has been proposed as a quantum signature of classical chaos and is studied in the Dicke model, where two-level atoms cooperatively interact with a quantized radiation field.