# Observation of non-Markovian micromechanical Brownian motion

@article{Grblacher2015ObservationON, title={Observation of non-Markovian micromechanical Brownian motion}, author={Simon Gr{\"o}blacher and Alexey Trubarov and Nils Prigge and Garrett D. Cole and Markus Aspelmeyer and Jens Eisert}, journal={Nature Communications}, year={2015}, volume={6} }

All physical systems are to some extent open and interacting with their environment. This insight, basic as it may seem, gives rise to the necessity of protecting quantum systems from decoherence in quantum technologies and is at the heart of the emergence of classical properties in quantum physics. The precise decoherence mechanisms, however, are often unknown for a given system. In this work, we make use of an opto-mechanical resonator to obtain key information about spectral densities of its…

## 116 Citations

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Abstract
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## References

SHOWING 1-10 OF 76 REFERENCES

Path integral approach to quantum Brownian motion

- Physics, Mathematics
- 1982

We apply the influence-functional method of Feynman and Vernon to the study of Brownian motion at arbitrary temperature. By choosing a specific model for the dissipative interaction of the system of…

Decoherence and dissipation of a quantum harmonic oscillator coupled to two-level systems

- Physics
- 2008

We derive and analyze the Born-Markov master equation for a quantum harmonic oscillator interacting with a bath of independent two-level systems. This hitherto virtually unexplored model plays a…

Dynamics and thermodynamics of linear quantum open systems.

- Medicine, PhysicsPhysical review letters
- 2013

It is shown that the reduced density matrix of the network always obeys a local master equation with a simple analytical solution, and the third law imposes constraints on the low frequency behavior of the environmental spectral densities.

Non-Markovian dynamics of open quantum systems: Stochastic equations and their perturbative solutions

- Physics
- 2012

Abstract We treat several key stochastic equations for non-Markovian open quantum system dynamics and present a formalism for finding solutions to them via canonical perturbation theory, without…

Decoherence, einselection, and the quantum origins of the classical

- Physics
- 2003

as quantum engineering. In the past two decades it has become increasingly clear that many (perhaps all) of the symptoms of classicality can be induced in quantum systems by their environments. Thus…

Laser cooling of a nanomechanical oscillator into its quantum ground state

- Physics, MedicineNature
- 2011

The development of a coupled, nanoscale optical and mechanical resonator formed in a silicon microchip, in which radiation pressure from a laser is used to cool the mechanical motion down to its quantum ground state, paving the way for optical control of mesoscale mechanical oscillators in the quantum regime.

Quantum and classical correlations in quantum Brownian motion.

- Physics, MedicinePhysical review letters
- 2002

It is shown that there exists a large class of initial states for which no entanglement will be created at all times between the system of salient interest and the environment.

Assessing non-Markovian quantum dynamics.

- Physics, MathematicsPhysical review letters
- 2008

From a snapshot of a quantum evolution, it can be decided whether or not a channel is consistent with a time (in)dependent Markovian evolution, for which a computable measure of "Markovianity" is introduced.

DYNAMICS OF QUANTUM CORRELATIONS IN TWO-QUBIT SYSTEMS WITHIN NON-MARKOVIAN ENVIRONMENTS

- Physics
- 2013

Knowledge of the dynamical behavior of correlations with no classical counterpart, like entanglement, nonlocal correlations and quantum discord, in open quantum systems is of primary interest because…

Preparation and detection of a mechanical resonator near the ground state of motion

- Physics, MedicineNature
- 2010

This work reports the cooling of the motion of a radio-frequency nanomechanical resonator by parametric coupling to a driven, microwave-frequency superconducting resonator, and expects the mechanical resonator to be found with probability 0.21 in the quantum ground state of motion.