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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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Aging transition in coupled quantum oscillators.

Biswabibek Bandyopadhyay1, Tanmoy Banerjee1

  • 1Chaos and Complex Systems Research Laboratory, Department of Physics, University of Burdwan, Burdwan 713 104, West Bengal, India.

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Quantum aging transition in active-inactive oscillator networks differs from classical systems. Instead of oscillation collapse, quantum aging shows reduced mean boson number and depends on nonlinear damping.

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Area of Science:

  • Quantum physics
  • Complex networks
  • Nonlinear dynamics

Background:

  • Aging transition is a known phenomenon in classical networks of active and inactive oscillators.
  • This transition involves a shift from global oscillation to oscillation collapse when inactive nodes exceed a critical fraction.
  • The quantum manifestation of aging transition has not been previously investigated.

Purpose of the Study:

  • To explore the quantum aging transition in networks composed of active and inactive quantum oscillators.
  • To understand how quantum effects alter the classical aging transition dynamics.
  • To identify novel characteristics and underlying mechanisms of quantum aging.

Main Methods:

  • Investigated a network model of active-inactive quantum oscillators.
  • Analyzed the system's behavior concerning oscillation and mean boson number.
  • Examined the influence of the fraction of inactive oscillators and nonlinear damping parameters.

Main Results:

  • Quantum aging is characterized by a significant reduction in mean boson number, not a complete oscillation collapse.
  • A critical 'knee' value in the inactive oscillator fraction triggers quantum aging in distinct ways.
  • Unlike classical aging, the quantum transition is dependent on the nonlinear damping parameter.

Conclusions:

  • Quantum aging transition exhibits unique features distinct from its classical counterpart.
  • The mean boson number serves as a key indicator for quantum aging.
  • Nonlinear damping plays a crucial role in the dynamics of quantum aging transition, with no classical parallel.