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Related Concept Videos

Damped Oscillations01:07

Damped Oscillations

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In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
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If the amount of damping in a system is gradually increased, the period and frequency start to become affected because damping opposes, and hence slows, the back and forth motion (the net force is smaller in both directions). If there is a very large amount of damping, the system does not even oscillate; instead, it slowly moves toward equilibrium. In brief, an overdamped system moves slowly towards equilibrium, whereas an underdamped system moves quickly to equilibrium but will oscillate about...
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An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
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An RLC circuit combines a resistor, inductor, and capacitor, connected in a series or parallel combination.
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Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so...
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Second Order systems II

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In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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Tutorial on the stochastic simulation of dissipative quantum oscillators.

C R Hogg1, J Glatthard1, F Cerisola1

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Summary
This summary is machine-generated.

Simulating open quantum systems is challenging. This study introduces quasiclassical methods using quantum noise spectra, offering a computationally tractable approach to model quantum systems influenced by their environment.

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Area of Science:

  • Quantum physics
  • Computational physics
  • Statistical mechanics

Background:

  • Simulating generic open quantum systems is computationally intensive.
  • Classical dissipative systems are often modeled using less expensive stochastic processes.

Purpose of the Study:

  • To introduce quasiclassical methods for modeling open quantum systems.
  • To demonstrate these methods using a dissipative quantum oscillator.

Main Methods:

  • Employing classical stochastic methods with a quantum noise spectrum.
  • Analyzing the influence of the environment on quantum system dynamics.

Main Results:

  • Quasiclassical methods provide a computationally tractable alternative for open quantum system simulation.
  • These methods capture the impact of the quantum environment on system dynamics.

Conclusions:

  • Quasiclassical methods offer valuable insights into open quantum systems.
  • This approach balances accuracy with computational efficiency for quantum simulations.