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Nonlinear quantum physics of oscillators

Quantum oscillator is an elementary physical system simultanously exibiting both continuous wave and discrete particle features. 

Moreover, quantum oscillator can simultaneously exhibit both nonlinear and complex phenomena capable of producing many 
counterintuitive
physical effects. 

Quantum optics, quantum optomechanics, quantum cavity/circuit electrodynamics and physics of trapped atoms/ions are 
excellent for testing and understanding of these phenomena and bringing them closer to applications.

Quantum oscillators have an increasing number of applications in science and technology beyond the framework of classical physics. For example, 
in metrology, communication, simulations, computation, thermodynamics and in future, maybe even in robotics.  

For linear oscillators nonlinear measures quantifying applications introduce nonlinear effects. Nonlinear dynamics can however do much more.  

Currently, first highly nonlinear operations with oscillators can go beyond a limiting border of quadratic nonlinearities in nonlinear optics. 

Quantum optics also increases complexity using optical/mechanical oscillator arrays and alrge number of atoms.

Majority of high-order nonlinearities and complex nonlinear phenomena are still undiscovered in quantum oscillators. 

       Interaction of many nonlinear quantum oscillators is a challenge in theory and experiment, but also a current chance for science and technology. 

Our way to understand, engineer and explore nonlinear quantum Nature is based on
 
(i) understanding of reality in labs
(ii) inventive theory for broad audience
(iii) illustrative and feasible proposals of experiments
(iv) well-defined applications proving what makes sense


 
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    Current directions:

    Noise and coherence of oscillators
    Nonclassical effects of nonlinear oscillators
    Nonlinear measurement and quantum-to-classical transition
Nonlinear operations with oscillators (optical, electrical, atomic, solid-state, matter-wave, mechanical oscillators)
    Quantum communication between nonlinear systems 
    Nonlinear metrology 
    Analog quantum simulators of nonlinear phenomena
Nonlinear mechanical machines  
    Nonlinear stochastic and quantum thermodynamics  

                 For more details, please, see the List of Publications and Team, Collaborations, Grants.