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Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Disordered systems

Background:

  • Localization phenomena in disordered systems are crucial for understanding quantum particle behavior.
  • The interplay between translational and internal degrees of freedom can significantly influence quantum states.
  • Entanglement's role in macroscopic properties like localization is an active area of research.

Purpose of the Study:

  • To investigate the impact of coupling between translational and internal degrees of freedom on the localization of composite quantum particles.
  • To determine how quantum entanglement affects localization in random potentials.
  • To explore the influence of coupling on localization properties in specific disordered lattice models.

Main Methods:

  • Theoretical analysis of quantum state purity and its relation to localization.
  • Numerical simulations for a two-particle system in a 1D disordered lattice.
  • Numerical simulations for a rigid rotor in a 2D disordered lattice.

Main Results:

  • Entanglement between translational and internal degrees of freedom weakens particle localization.
  • The purity of a quantum state imposes an upper bound on the inverse participation ratio, a measure of localization.
  • Coupling significantly alters localization properties, even with a limited number of participating internal states.

Conclusions:

  • Quantum entanglement is a key factor in reducing localization in disordered systems.
  • The coupling between different degrees of freedom offers a mechanism to control particle localization.
  • Findings have implications for designing quantum systems with specific transport or localization characteristics.