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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.
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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.
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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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The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
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Slow Nonthermalizing Dynamics in a Quantum Spin Glass.

Louk Rademaker1, Dmitry A Abanin1

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This study explores quantum dynamics in 1D spin glasses, revealing distinct behaviors at high and low energy densities. At low energies, spin glass order persists due to inefficient resonance avalanches, unlike many-body localization (MBL).

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Area of Science:

  • Condensed matter physics
  • Quantum dynamics
  • Disordered quantum systems

Background:

  • Spin glasses and many-body localization (MBL) are key examples of ergodicity breaking.
  • Their origins differ: rugged classical energy landscapes for spin glasses and quantum interference for MBL.
  • Understanding ergodicity breaking in quantum systems is crucial for quantum technologies.

Purpose of the Study:

  • Investigate the quantum dynamics of an isolated 1D spin glass under a transverse field.
  • Characterize the system's behavior at different energy densities.
  • Explore the physical mechanisms behind ergodicity breaking and potential distinctions from MBL.

Main Methods:

  • Numerical studies of quantum dynamics.
  • Resonance analysis to probe system behavior.
  • Application of a transverse field to a 1D spin glass model.

Main Results:

  • At high energy densities, the system is ergodic, relaxing via a resonance avalanche mechanism.
  • This avalanche mechanism also destroys MBL in non-glassy systems with power-law interactions.
  • At low energy densities, a power-law soft gap in interaction-induced fields hinders the resonance avalanche.
  • This leads to the persistence of spin-glass order.
  • A small fraction of resonant spins forms a distinct thermalizing system with long-range entanglement.

Conclusions:

  • The 1D spin glass model exhibits distinct dynamical regimes based on energy density.
  • The persistence of spin-glass order at low energies is driven by an inefficient resonance avalanche mechanism.
  • This system, realizable in trapped ions, offers a platform for studying slow quantum dynamics and glassiness.