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Fabrication and Characterization of High-Q Silicon Nitride Membrane Resonators

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Quantum many-body dynamics in optomechanical arrays.

Max Ludwig¹, Florian Marquardt

¹Institute for Theoretical Physics, Universität Erlangen-Nürnberg, Erlangen, Germany. max.ludwig@physik.uni-erlangen.de

Physical Review Letters

|September 3, 2013

Summary

We investigated quantum dynamics in coupled optomechanical systems. Increasing coupling strength transitions mechanical motion from incoherent to phase-coherent oscillations, revealing a rich phase diagram.

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Area of Science:

Quantum physics
Optomechanics
Condensed matter physics

Background:

Optomechanical systems couple mechanical and optical modes.
Arrays of such systems exhibit complex many-body quantum dynamics.
Dissipation and quantum noise play crucial roles in determining system behavior.

Purpose of the Study:

To explore the nonlinear driven dissipative quantum dynamics of coupled optomechanical arrays.
To characterize the phase diagram arising from the competition between coherent interactions and dissipation.
To identify the transition from incoherent to phase-coherent mechanical motion in these systems.

Main Methods:

Utilizing a Gutzwiller ansatz for theoretical analysis.
Employing semiclassical Langevin equations for finite lattice simulations.
Proposing a realistic experimental implementation in optomechanical crystals.

Main Results:

A rich phase diagram emerges from the interplay of coherent interactions and dissipation.
Weak intercellular coupling leads to incoherent mechanical motion due to quantum noise.
Increased coupling strength drives a transition to phase-coherent mechanical oscillations.

Conclusions:

Coupled optomechanical arrays exhibit complex quantum phases tunable by coupling strength.
The transition to phase coherence in mechanical motion is a key observable.
The proposed experimental setup in optomechanical crystals is feasible for realizing these dynamics.