# Classical evolution in quantum systems

@article{Sperling2020ClassicalEI, title={Classical evolution in quantum systems}, author={Jan Sperling and Ian A. Walmsley}, journal={Physics}, year={2020}, volume={95}, pages={065101} }

For studying quantum phenomena in time, it is vital to have a profound understanding of the classical dynamics. For this reason, we derive equations of motions describing the classical propagation of a quantum system. A comparison of this classical evolution with the actual temporal behavior enables us to identify quantum effects of the evolution itself and distinguish them from static quantum features and quantum phenomena for a single point in time. As applications of our universal technique…

## One Citation

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## References

SHOWING 1-10 OF 78 REFERENCES

Entanglement dynamics in a quantum-classical hybrid of two q-bits and one oscillator

- Physics
- 2014

We investigate new features, especially of entanglement dynamics, which arise in a quantum-classical hybrid. As a model, we study the coupling between two quantum mechanical two-level systems, i.e.…

Linear dynamics of quantum-classical hybrids

- Physics
- 2012

A formulation of quantum-classical hybrid dynamics is presented, which concerns the direct coupling of classical and quantum mechanical degrees of freedom. It is of interest for applications in…

Separable and Inseparable Quantum Trajectories.

- PhysicsPhysical review letters
- 2017

This Letter describes temporal quantum effects of the inseparable evolution of composite quantum states by comparing the trajectories to their classically correlated counterparts and introduces equations of motions describing the separable propagation of any interacting quantum system, which are derived by requiring separability for all times.

Colloquium: quantum coherence as a resource

- Physics
- 2017

The coherent superposition of states, in combination with the quantization of observables, represents one of the most fundamental features that mark the departure of quantum mechanics from the…

OPEN QUANTUM DYNAMICS: COMPLETE POSITIVITY AND ENTANGLEMENT

- Physics
- 2005

We review the standard treatment of open quantum systems in relation to quantum entanglement, analyzing, in particular, the behavior of bipartite systems immersed in the same environment. We first…

Classical simulation of arbitrary quantum noise

- Physics
- 2017

I present an explicit classical simulation of arbitrary quantum noise for quantum models in which one qubit interacts with a quantum bath. The classical model simulates the interaction of the bath…

Quantum dynamics as a physical resource

- Physics
- 2003

How useful is a quantum dynamical operation for quantum information processing? Motivated by this question, we investigate several strength measures quantifying the resources intrinsic to a quantum…

Quantum correlations in composite systems

- Physics
- 2017

We study emerging notions of quantum correlations in compound systems. Based on different definitions of quantumness in individual subsystems, we investigate how they extend to the joint description…

Quantum coherences of indistinguishable particles

- Physics
- 2017

We study different notions of quantum correlations in multipartite systems of distinguishable and indistinguishable particles. Based on the definition of quantum coherence for a single particle, we…