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Strong Zero Modes from Geometric Chirality in Quasi-One-Dimensional Mott Insulators.

Raul A Santos1, Benjamin Béri1,2

  • 1T.C.M. Group, Cavendish Laboratory, University of Cambridge, J.J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom.

Physical Review Letters
|December 1, 2020
PubMed
Summary
This summary is machine-generated.

Strong zero modes in quantum systems, linked to Z3 parafermions, are shown to originate from geometric chirality in fermionic Mott insulators. These systems exhibit robust coherence even at high temperatures.

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Area of Science:

  • Quantum Many-Body Physics
  • Condensed Matter Theory
  • Topological Quantum Matter

Background:

  • Strong zero modes enable quantum systems to preserve local information away from the ground state.
  • Z_n chiral quantum clock models and Z_n parafermions are known examples exhibiting strong zero modes.

Purpose of the Study:

  • To demonstrate the origin of Z_n chiral clock models and their strong zero modes from geometric chirality in fermionic Mott insulators.
  • To investigate the presence and robustness of strong zero modes in a specific Z_3 chiral clock model perturbed by a realistic lattice interaction.

Main Methods:

  • Utilized bosonization techniques combined with general symmetry considerations to link fermionic Mott insulators (three-leg ladders for n=3) to Z_3 chiral clock models.
  • Introduced a concrete lattice model and analyzed its mapping to the Z_3 chiral clock model, including perturbation by the Uimin-Lai-Sutherland Hamiltonian.
  • Investigated the dynamics of clock operator correlators at the edge of the perturbed model to demonstrate the presence of strong zero modes.

Main Results:

  • Established a direct link between geometric chirality in fermionic Mott insulators and the emergence of Z_n chiral clock models with strong zero modes.
  • Showed that a perturbed Z_3 chiral clock model, arising from a realistic lattice setup, still hosts strong zero modes.
  • Demonstrated that edge correlators in the perturbed model remain stable for exponentially long times, even at infinite temperature, confirming robust strong zero modes.

Conclusions:

  • Geometric chirality in fermionic Mott insulators provides a physical mechanism for realizing quantum systems with strong zero modes.
  • The Z_3 chiral clock model, derived from fermionic ladders and perturbed by superexchange, serves as a concrete platform for studying robust strong zero modes.
  • Strong zero modes offer a promising avenue for robust quantum information encoding in practical, high-temperature quantum many-body systems.