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Related Concept Videos

Types of Damping01:20

Types of Damping

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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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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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Forced Oscillations01:06

Forced Oscillations

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When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
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Magnetic Damping01:17

Magnetic Damping

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Eddy currents can produce significant drag on motion, called magnetic damping. For instance, when a metallic pendulum bob swings between the poles of a strong magnet, significant drag acts on the bob as it enters and leaves the field, quickly damping the motion.
If, however, the bob is a slotted metal plate, the magnet produces a much smaller effect. When a slotted metal plate enters the field, an emf is induced by the change in flux; however, it is less effective because the slots limit the...
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Concept of Resonance and its Characteristics01:19

Concept of Resonance and its Characteristics

5.0K
If a driven oscillator needs to resonate at a specific frequency, then very light damping is required. An example of light damping includes playing piano strings and many other musical instruments. Conversely, to achieve small-amplitude oscillations as in a car's suspension system, heavy damping is required. Heavy damping reduces the amplitude, but the tradeoff is that the system responds at more frequencies. Speed bumps and gravel roads prove that even a car's suspension system is not...
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Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

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In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Apparent nonlinear damping triggered by quantum fluctuations.

Mario F Gely1,2, Adrián Sanz Mora3, Shun Yanai3,4,5

  • 1Kavli Institute of NanoScience, Delft University of Technology, PO Box 5046, 2600 GA, Delft, The Netherlands. mario.gely@physics.ox.ac.uk.

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|November 22, 2023
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Summary
This summary is machine-generated.

Quantum fluctuations and Josephson junction nonlinearity in superconducting resonators can mimic nonlinear damping. This dephasing phenomenon, observed in phase space, is crucial for precise sensors and quantum computing applications.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Nanoscience

Background:

  • Nonlinear damping, where damping rate varies with oscillation amplitude, is critical for oscillators in diverse fields.
  • Understanding nonlinear damping is challenging in novel systems like carbon nanotubes, graphene, and superconducting resonators.
  • The damping rate is a key metric for applications in precise sensors and quantum computing.

Purpose of the Study:

  • To investigate the origin of apparent nonlinear damping in superconducting resonators.
  • To elucidate the role of quantum fluctuations and Josephson junction nonlinearity in resonator response.
  • To explore the generalizability of observed phenomena to other nonlinear systems.

Main Methods:

  • Experimental measurements on a superconducting resonator.
  • Analysis of resonator response under varying power conditions.
  • Theoretical interpretation using quasi-probability flow in phase space.

Main Results:

  • Observed a power-dependence in resonator response mimicking nonlinear damping.
  • Attributed this phenomenon to the interplay of quantum fluctuations and Josephson junction nonlinearity.
  • Visualized the effect as dephasing through quasi-probability flow in phase space.

Conclusions:

  • The interplay of quantum fluctuations and nonlinearity can create apparent nonlinear damping.
  • This dephasing effect is not limited to superconducting circuits.
  • Similar phenomena are expected in nano-mechanical and macroscopic oscillators with conservative nonlinearity.