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Related Concept Videos

Damped Oscillations01:07

Damped Oscillations

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...
Types of Damping01:20

Types of Damping

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...
Oscillations about an Equilibrium Position01:04

Oscillations about an Equilibrium Position

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 because...
Atomic Nuclei: Types of Nuclear Relaxation01:28

Atomic Nuclei: Types of Nuclear Relaxation

Nuclear relaxation restores the equilibrium population imbalance and can occur via spin–lattice or spin–spin mechanisms, which are first-order exponential decay processes.
In spin–lattice or longitudinal relaxation, the excited spins exchange energy with the surrounding lattice as they return to the lower energy level. Among several mechanisms that contribute to spin–lattice relaxation, magnetic dipolar interactions are significant. Here, the excited nucleus transfers energy to a nearby...
BIBO stability of continuous and discrete -time systems01:24

BIBO stability of continuous and discrete -time systems

System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system.
Entropy Change in Reversible Processes01:10

Entropy Change in Reversible Processes

In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.

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Related Experiment Video

Updated: May 13, 2026

Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

Oscillatory dynamics and non-Markovian memory in dissipative quantum systems.

D M Kennes1, O Kashuba, M Pletyukhov

  • 1Institut für Theorie der Statistischen Physik, RWTH Aachen University and JARA-Fundamentals of Future Information Technology, 52056 Aachen, Germany.

Physical Review Letters
|March 26, 2013
PubMed
Summary

Quantum systems show unique oscillatory dynamics near transitions, differing from classical models. Non-Markovian memory effects are crucial for understanding quantum system evolution after a quantum quench.

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Last Updated: May 13, 2026

Gradient Echo Quantum Memory in Warm Atomic Vapor
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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Area of Science:

  • Quantum mechanics
  • Statistical physics
  • Condensed matter theory

Background:

  • Understanding the dynamics of small quantum systems interacting with their environment is fundamental.
  • Dissipative environments introduce complexity, leading to phenomena like decoherence and energy loss.
  • The transition from coherent to incoherent dynamics is a key area of study in open quantum systems.

Purpose of the Study:

  • To investigate the nonequilibrium dynamics of a small quantum system coupled to a dissipative environment.
  • To compare the oscillatory dynamics of quantum systems near a coherent-incoherent transition with classical damped harmonic oscillators.
  • To elucidate the role of non-Markovian memory effects in quantum dynamics after a quantum quench.

Main Methods:

  • Theoretical modeling of a small quantum system.
  • Coupling the quantum system to a dissipative environment.
  • Analyzing the time evolution of the system after a quantum quench.
  • Employing analytical and numerical techniques to study dynamics.

Main Results:

  • The oscillatory dynamics near the coherent-to-incoherent transition in quantum systems differ significantly from classical damped harmonic oscillators.
  • Non-Markovian memory effects are shown to play a prominent role in the system's time evolution post-quantum quench.
  • The study highlights unique quantum features not present in classical analogues.

Conclusions:

  • The behavior of quantum systems in dissipative environments exhibits distinct characteristics compared to classical systems.
  • Non-Markovianity is a critical factor that must be considered for accurate predictions of quantum dynamics.
  • These findings have implications for quantum information processing and the understanding of quantum thermodynamics.