# Quantum chaotic environments, the butterfly effect, and decoherence.

@article{Karkuszewski2002QuantumCE, title={Quantum chaotic environments, the butterfly effect, and decoherence.}, author={Zbys ek P Karkusz ewski and Christopher Jar ynski and Wojciech Zurek}, journal={Physical review letters}, year={2002}, volume={89 17}, pages={ 170405 } }

We investigate the sensitivity of quantum systems that are chaotic in a classical limit to small perturbations of their equations of motion. This sensitivity, originally studied in the context of defining quantum chaos, is relevant to decoherence when the environment has a chaotic classical counterpart.

## 60 Citations

### Non-Markovian quantum dynamics and classical chaos

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We study the effects of dissipation and decoherence induced on a harmonic oscillator by the coupling to a chaotic system with two degrees of freedom. Using the Feynman-Vernon approach and treating…

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Quantum chaos imposes universal spectral signatures that govern the thermofield dynamics of a many-body system in isolation. The fidelity between the initial and time-evolving thermofield double…

### Interference in the Quantum Ising Model

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- 2014

Using the measure of interference defined in this paper, we investigate the quantum phase transition of one-dimensional Ising chains. We find that thermal fluctuations affect the interference more…

### The Loschmidt echo in classically chaotic systems: Quantum chaos, irreversibility and decoherence

- Physics
- 2004

The Loschmidt echo (LE) is a measure of the sensitivity of quantum mechanics to perturbations in the evolution operator. It is defined as the overlap of two wave functions evolved from the same…

### Decoherence, entanglement decay, and equilibration produced by chaotic environments.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2011

It is shown that in the semiclassical limit the equilibration state is arbitrarily close to a separable state, and the environment leads the central system to equilibrate to the time average of its reduced density matrix, which corresponds to a diagonal state in the preferential energy eigenbasis.

### Decoherence from a chaotic environment: An upside-down ``oscillator'' as a model

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- 2003

Chaotic evolutions exhibit exponential sensitivity to initial conditions. This suggests that even very small perturbations resulting from weak coupling of a quantum chaotic environment to the…

### Chaos in circuit QED: decoherence, localization and nonclassicality

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- 2013

We study the open system dynamics of a circuit quantum electrodynamics (QED) model operating in the ultrastrong coupling regime. If the resonator is pumped periodically in time the underlying…

### Emergence of singularities from decoherence: Quantum catastrophes

- PhysicsPhysical Review A
- 2019

When two Bose-Einstein condensates are suddenly coupled by a tunneling junction, the Gross-Pitaevskii mean-field theory predicts that caustics will form in the number-difference probability…

## References

SHOWING 1-5 OF 5 REFERENCES

### Decoherence and the Appearance of a Classical World in Quantum Theory

- Physics
- 2004

In the last decade decoherence has become a very popular topic mainly due to the progress in experimental techniques which allow monitoring of the process of decoherence for single microscopic or…

### Nature 412

- 712
- 2001

### For simplicity we will work in one degree of freedom, but the results extend easily to higher dimensions

### Physics Today 44

- 36
- 1991