Related Experiment Video
Updated: Mar 29, 2026

10:00
Gradient Echo Quantum Memory in Warm Atomic Vapor
Published on: November 11, 2013
13.3K
Reversibility of dynamics and multiple-quantum coherences.
1Department of Chemistry, Kent State University, Kent, Ohio 44242, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 15, 2015
Summary
The Loschmidt echo decay in time-reversal experiments is tied to multiple-quantum coherences. This study defines criteria for weak irreversibility in quantum dynamics, applicable beyond spin systems.
Area of Science:
- Quantum physics
- Condensed matter physics
- Statistical mechanics
Background:
- The Loschmidt echo measures the sensitivity of quantum systems to perturbations.
- Multiple-quantum (MQ) coherences arise in complex quantum systems and are linked to dynamics.
- Irreversibility in quantum dynamics is a fundamental concept with implications for thermodynamics.
Purpose of the Study:
- To establish a link between Loschmidt echo decay and the generation of MQ coherences.
- To formulate criteria for weak irreversibility in quantum dynamics.
- To generalize the analysis of quantum dynamics reversibility beyond spin systems.
Main Methods:
- Analysis of the Loschmidt echo in time-reversal experiments.
- Investigation of the growth of multiple-quantum coherences.
- Formulation of criteria for weak irreversibility based on linear time dependence.
Main Results:
- The decay of the Loschmidt echo is directly related to the generation of MQ coherences.
- Unlimited growth of MQ coherences leads to irreversible dynamics.
- Criteria for weak irreversibility are established, characterized by linear time dependence of specific observables.
Conclusions:
- The study provides a framework for understanding irreversibility in quantum systems.
- The proposed approach offers a method to analyze reversibility in many-body quantum dynamics.
- The findings have potential applications in various quantum systems beyond spins.
Related Concept Videos
Woodward–Hoffmann Selection Rules and Microscopic Reversibility
4.2K
Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
4.2K
Entropy Change in Reversible Processes
3.4K
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.
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.
3.4K
Reversible and Irreversible Processes
6.2K
The thermodynamic processes can be classified into reversible and irreversible processes. The processes that can be restored to their initial state are called reversible processes. It is only possible if the process is in quasi-static equilibrium, i.e., it takes place in infinitesimally small steps, and the system remains at equilibrium However, these are ideal processes and do not occur naturally. An ideal system undergoing a reversible process is always in thermodynamic equilibrium within...
6.2K
Stability of Equilibrium Configuration
948
Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
948
¹H NMR: Interpreting Distorted and Overlapping Signals
1.7K
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...
1.7K
Double Resonance Techniques: Overview
850
Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
Spin decoupling is usually achieved by...
Spin decoupling is usually achieved by...
850

