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Related Concept Videos

Atomic Nuclei: Types of Nuclear Relaxation01:28

Atomic Nuclei: Types of Nuclear Relaxation

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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...
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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.
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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.
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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...
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Initial-State Typicality in Quantum Relaxation.

Ruicheng Bao1

  • 1The University of Tokyo, Department of Physics, Graduate School of Science, Hongo, Bunkyo-ku, Tokyo 113-0033, Japan.

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Summary
This summary is machine-generated.

In high-dimensional open quantum systems, relaxation becomes independent of the initial state as system size increases. This typicality phenomenon, proven above a critical temperature, impacts quantum simulations and state preparation.

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Area of Science:

  • Quantum Physics
  • Thermodynamics
  • Quantum Information Science

Background:

  • Relaxation in open quantum systems is crucial for quantum technologies.
  • The impact of initial states on relaxation dynamics is a key unanswered question.

Purpose of the Study:

  • To investigate the influence of initial states on relaxation in open quantum systems.
  • To uncover phenomena related to initial-state dependence in quantum relaxation.

Main Methods:

  • Systematic characterization of relaxation behavior for generic initial states.
  • Mathematical proof of typicality for thermalization processes.
  • Analysis of transient open quantum dynamics.

Main Results:

  • A typicality phenomenon was discovered: relaxation becomes nearly initial-state independent in large systems.
  • Typicality was proven for thermalization above a size-independent temperature.
  • New concepts, 'typical strong Mpemba effect' and 'typical relaxation time,' were formalized.

Conclusions:

  • Initial-state dependence in quantum relaxation is less significant in large systems than previously thought.
  • Findings necessitate re-examination of the Liouvillian gap and maximal relaxation time.
  • Results offer practical implications for accelerating relaxation and benchmarking quantum simulations.