Related Experiment Video
Updated: May 8, 2025
11:03
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
8.4K
Long-Range Interacting Systems Are Locally Noninteracting.
Robert Mattes1, Igor Lesanovsky1,2, Federico Carollo3
1Universität Tübingen, Institut für Theoretische Physik and Center for Integrated Quantum Science and Technology, Auf der Morgenstelle 14, 72076 Tübingen, Germany.
Physical Review Letters
|March 7, 2025
Summary
Long-range interacting quantum systems exhibit emergent noninteracting behavior in the strong regime. Local properties are described by an independent evolution, preventing correlation generation and impacting thermalization.
Area of Science:
- Quantum Many-Body Physics
- Open Quantum Systems
Background:
- Long-range interacting systems display unique physics like nonlinear information propagation.
- Novel phenomena arise in these systems compared to short-range counterparts.
Purpose of the Study:
- Investigate generic long-range open quantum systems in the strong regime.
- Analyze local properties and dynamics in arbitrary dimensions.
Main Methods:
- Focus on the thermodynamic limit.
- Analyze reduced quantum states to capture local properties.
Main Results:
- Proved emergent noninteracting theory for local properties.
- Demonstrated dynamics factorization and independent constituent evolution.
- Showed no correlation generation over time in the strong long-range regime.
Conclusions:
- Long-range interacting systems are locally noninteracting.
- Implications for relaxation, quasistationary states, and absence of thermalization.
More Related Videos
Related Concept Videos
01:27¹H NMR: Long-Range Coupling
1.5K
The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene...
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene...
1.5K
01:23Linear time-invariant Systems
171
A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
171
01:26Classification of Systems-I
151
Linearity is a system property characterized by a direct input-output relationship, combining homogeneity and additivity.
Homogeneity dictates that if an input x(t) is multiplied by a constant c, the output y(t) is multiplied by the same constant. Mathematically, this is expressed as:
Homogeneity dictates that if an input x(t) is multiplied by a constant c, the output y(t) is multiplied by the same constant. Mathematically, this is expressed as:
151
01:24Van der Waals Interactions
62.8K
Atoms and molecules interact with each other through intermolecular forces. These electrostatic forces arise from attractive or repulsive interactions between particles with permanent, partial, or temporary charges. The intermolecular forces between neutral atoms and molecules are ion–dipole, dipole–dipole, and dispersion forces, collectively known as van der Waals forces.
62.8K
01:10First Law: Particles in One-dimensional Equilibrium
6.7K
Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If...
6.7K
01:18First Law: Particles in Two-dimensional Equilibrium
4.9K
Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about...
Newton's first law tells us about...
4.9K