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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Topological Physics

Background:

  • The non-Hermitian skin effect typically localizes charges at one boundary in 1D systems.
  • Understanding charge localization is crucial for designing novel quantum devices.

Purpose of the Study:

  • Investigate the non-Hermitian skin effect in 1D systems with conserved dipole and higher moments.
  • Identify new phenomena and quantum indicators associated with multipole-conserving skin effects.

Main Methods:

  • Utilized field theoretical arguments.
  • Performed lattice model calculations.
  • Employed numerical and analytical techniques.

Main Results:

  • Demonstrated that m-pole conserving systems generate an (m+1)th multipole moment.
  • Showcased dipole-conserving skin effect localizing charges at both boundaries, forming a quadrupole moment.
  • Identified Fock-space localization and area-law entanglement entropy scaling in steady states.

Conclusions:

  • The non-Hermitian skin effect exhibits distinct behaviors in multipole-conserving systems.
  • Charge and entanglement propagation dynamics are influenced by multipole moments.
  • Fock-space localization and entanglement entropy scaling serve as robust quantum indicators.