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Angular momentum conservation stabilizes a robust topological phase in 1D cold atom gases, supporting Majorana quasiparticles as protected edge modes. This discovery offers a pathway to observing these exotic particles using alkaline-earth-like fermions.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Simulation
  • Cold Atom Gases

Background:

  • Topological phases of matter host exotic quasiparticles like Majorana fermions.
  • Symmetry protection is crucial for the stability of topological phases.
  • Cold atom gases provide a controllable platform for simulating complex quantum phenomena.

Purpose of the Study:

  • To investigate a novel symmetry-protected topological phase in one-dimensional (1D) cold atom gases.
  • To demonstrate the stabilization of Majorana quasiparticles as edge modes.
  • To explore the role of angular momentum conservation in protecting topological phases.

Main Methods:

  • Investigation of a number-conserving four-species Hubbard model.
  • Inclusion of spin-orbit coupling to reduce global spin symmetry.
  • Application of field theory techniques to elucidate Majorana edge mode emergence.
  • Corroboration using density-matrix-renormalization-group (DMRG) simulations.

Main Results:

  • Angular momentum conservation was shown to stabilize a quasitopological phase.
  • This phase supports Majorana quasiparticles as robust edge modes.
  • Spin-orbit coupling was found to reduce spin symmetry to angular momentum parity symmetry, providing robust protection.
  • The emergence of Majorana edge modes was confirmed by theoretical and numerical methods.

Conclusions:

  • The study establishes a robust mechanism for stabilizing topological phases and Majorana edge modes in 1D cold atom systems.
  • The findings pave the way for experimental observation of Majorana edge modes using alkaline-earth-like fermions in optical lattices.
  • The demonstrated recipe utilizes experimentally realized ingredients like spin-orbit coupling and strong interorbital interactions.