Related Experiment Video
Updated: Apr 25, 2026
09:23
Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
13.9K
Quantum non-Markovianity: characterization, quantification and detection
Ángel Rivas1, Susana F Huelga, Martin B Plenio
1Departamento de Física Teórica I, Facultad de Ciencias Físicas, Universidad Complutense, 28040 Madrid, Spain.
Reports on Progress in Physics. Physical Society (Great Britain)
|August 23, 2014
Summary
This review explores quantum non-Markovianity in open quantum systems, explaining memory effects and comparing quantification methods. It highlights current challenges and future research in quantum dynamics.
Area of Science:
- Quantum Physics
- Open Quantum Systems Theory
Background:
- Quantum non-Markovianity is crucial for understanding memory effects in open quantum systems.
- Classical Markovianity is generalized to quantum systems via the divisibility property.
Purpose of the Study:
- To provide a comprehensive review of quantum non-Markovianity.
- To compare different definitions and quantification methods for non-Markovian dynamics.
Main Methods:
- Reviewing existing literature on quantum non-Markovianity.
- Comparing classical and quantum definitions of Markovianity.
- Analyzing methods for quantifying and detecting non-Markovian behavior.
Main Results:
- Established a clear link between non-Markovianity and memory effects in quantum systems.
- Detailed comparison of various definitions and quantification techniques.
- Identified sufficient conditions for detecting deviations from Markovianity.
Conclusions:
- Summarized the current state of quantum non-Markovianity research.
- Highlighted open problems and potential future research directions in the field.
Related Concept Videos
02:45The Quantum-Mechanical Model of an Atom
47.0K
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...
47.0K
04:08The Uncertainty Principle
25.5K
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...
25.5K
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
01:182D NMR: Overview of Heteronuclear Correlation Techniques
901
Heteronuclear correlation spectroscopy is an analytical technique that investigates the coupling between different types of nuclei, often a proton and an X-nucleus, such as carbon-13 or nitrogen-15. This method is commonly used in nuclear magnetic resonance (NMR) spectroscopy to gain insights into complex chemical compounds' structural and compositional aspects. A typical heteronuclear correlation spectrum displays X-nucleus chemical shifts on one axis and a proton spectrum on the other...
901
01:27Inductive Effects on Chemical Shift: Overview
2.3K
The protons in unsubstituted alkanes are strongly shielded with chemical shifts below 1.8 ppm. Methine, methylene, and methyl protons appear at approximately 1.7, 1.2 and 0.7 ppm, while the proton signal from methane appears at 0.23 ppm. An electronegative substituent, such as chlorine, withdraws the electron density from the protons, increasing their chemical shift. Progressive substitution of the hydrogens in methane by chlorine shifts the proton signals increasingly downfield, to 3.05 ppm in...
2.3K
01:03Atomic Nuclei: Nuclear Spin State Overview
1.9K
NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of one, the...
1.9K