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Area of Science:

  • Condensed Matter Physics
  • Quantum Many-Body Systems
  • Theoretical Physics

Background:

  • Integrable models are crucial in theoretical physics for their analytical tractability.
  • Realistic systems often approximate integrable models, necessitating study of perturbation effects.
  • The stability of many-body interacting quantum systems under perturbations remains largely unknown.

Purpose of the Study:

  • To investigate the influence of small perturbations on integrable and near-integrable quantum systems.
  • To explore the stability of many-body localization in one-dimensional quasiperiodic potentials.
  • To demonstrate the impact of interactions on transport properties in such systems.

Main Methods:

  • Development of a one-dimensional many-body model subjected to a quasiperiodic potential.
  • Analysis of transport properties as a function of interaction strength.
  • Investigating the effect of localized potential engineering on system behavior.

Main Results:

  • Demonstrated a discontinuous transition in transport properties from localization to diffusion upon introducing interactions.
  • Provided an explicit counterexample to the existence of general stability theorems for these systems.
  • Showcased significant modification of transport properties by engineering potential at a few lattice sites.

Conclusions:

  • Revealed an inherent instability in many-body localization within quasiperiodic potentials at small interaction strengths.
  • Highlighted the critical role of interactions in determining transport phenomena in quantum systems.
  • Suggested potential for fine-tuning quantum transport through targeted potential modifications.