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Related Concept Videos

Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis. This...
Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
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...
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must have a...
Trends in Lattice Energy: Ion Size and Charge02:54

Trends in Lattice Energy: Ion Size and Charge

An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
Free Energy Changes for Nonstandard States03:25

Free Energy Changes for Nonstandard States

The free energy change for a process taking place with reactants and products present under nonstandard conditions (pressures other than 1 bar; concentrations other than 1 M) is related to the standard free energy change according to this equation:

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Related Experiment Video

Updated: May 30, 2026

All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics
11:33

All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics

Published on: January 19, 2018

Reduced dynamics with renormalization in solid-state charge qubit measurement.

Jun Yan Luo1, Hujun Jiao, Feng Li

  • 1Department of Chemistry, Hong Kong University of Science and Technology, Kowloon, Hong Kong.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|August 12, 2011
PubMed
Summary

Quantum measurement backaction is unavoidable, causing dephasing and relaxation. This study reveals a crucial, often overlooked, renormalization effect in solid-state qubit measurements.

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Area of Science:

  • Quantum Physics
  • Solid-State Systems
  • Quantum Information

Background:

  • Quantum measurement inherently perturbs quantum systems.
  • Common backaction effects include dephasing and relaxation.
  • Previous theories have largely neglected certain backaction mechanisms.

Purpose of the Study:

  • To investigate the role of backaction in solid-state qubit measurement.
  • To highlight the significance of renormalization as a quantum measurement backaction.
  • To address the underestimation of renormalization in quantum measurement theory.

Main Methods:

  • Theoretical analysis of quantum measurement in solid-state devices.
  • Modeling mesoscopic detectors for qubit readout.
  • Investigating the interplay between measurement and quantum system dynamics.

Main Results:

  • Demonstrated that renormalization constitutes a significant backaction in specific measurement scenarios.
  • Quantified the conditions under which renormalization becomes important.
  • Identified a gap in current quantum measurement theory regarding this effect.

Conclusions:

  • Renormalization is a critical, yet often overlooked, backaction in quantum measurement.
  • Understanding this effect is essential for accurate solid-state qubit readout.
  • Further theoretical and experimental work is needed to fully characterize renormalization in quantum systems.