Related Experiment Video
Updated: May 7, 2026
06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
9.0K
Time fluctuations in isolated quantum systems of interacting particles
Pablo R Zangara1, Axel D Dente, E J Torres-Herrera
1Instituto de Física Enrique Gaviola, CONICET-UNC, Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, 5000 Córdoba, Argentina.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 16, 2013
Summary
Time fluctuations in isolated quantum systems decay exponentially with system size, regardless of whether the system is integrable or chaotic. This decay rate depends on initial state delocalization within the energy shell.
Area of Science:
- Quantum mechanics
- Statistical physics
- Dynamical quantum systems
Background:
- Understanding the behavior of isolated quantum systems after relaxation is crucial.
- Few-body observables exhibit time fluctuations that require detailed study.
Purpose of the Study:
- To numerically investigate time fluctuations of few-body observables in isolated dynamical quantum systems.
- To determine the dependence of these fluctuations on system size and integrability.
Main Methods:
- Numerical simulations of interacting particle systems.
- Analysis of systems in both integrable and chaotic regimes.
- Utilizing the Bethe ansatz for solvable integrable systems with nondegenerate spectra.
Main Results:
- Time fluctuations decay exponentially with increasing system size in both integrable and chaotic systems.
- The exponential decay coefficient is influenced by the initial state's delocalization relative to the energy shell.
- Distinguished behavior from integrable Hamiltonians reducible to noninteracting systems.
Conclusions:
- Exponential decay of time fluctuations with system size is a general feature of isolated quantum systems.
- Initial state properties significantly impact the dynamics of quantum systems.
- The study provides insights into the statistical properties of quantum chaos and integrability.
Related Concept Videos
02:32The de Broglie Wavelength
25.7K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
25.7K
01:02¹H NMR: Interpreting Distorted and Overlapping Signals
1.3K
Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
1.3K
04:08The Uncertainty Principle
25.6K
Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
25.6K
01:23Equilibrium Conditions for a Particle
2.5K
When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
2.5K
02:45The Quantum-Mechanical Model of an Atom
47.2K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing...
47.2K
01:28Atomic Nuclei: Types of Nuclear Relaxation
1.1K
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...
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...
1.1K