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Fractionalization Waves in Two-Dimensional Dirac Fermions: Quantum Imprint from One Dimension
Seth M Davis1, Matthew S Foster1,2
1Department of Physics and Astronomy, Rice University, Houston, Texas 77005, USA.
Physical Review Letters
|March 2, 2019
Summary
We propose a simple ultracold matter experiment to detect particle fractionalization. This method uses quantum quench to imprint correlations, creating observable "fractionalization waves" in Dirac fermions.
Area of Science:
- Condensed matter physics
- Ultracold atomic gases
- Quantum simulation
Background:
- Particle fractionalization is key to strongly correlated systems.
- Experimental detection of fractionalization is challenging.
Purpose of the Study:
- Propose a simple measurement for detecting particle fractionalization.
- Utilize ultracold matter to study fractionalization dynamics.
Main Methods:
- Imprint correlations from 1D chains onto 2D Dirac fermions via quantum quench.
- Induce perpendicular dispersion by coupling initially noninteracting chains.
Main Results:
- Luttinger liquid correlations generate relativistic "fractionalization waves" along chains.
- Coupling chains leads to distinct perpendicular dispersion patterns.
Conclusions:
- The proposed method offers a feasible way to experimentally detect particle fractionalization.
- Distinguishing fractionalization waves and perpendicular dispersion is possible in ultracold gas experiments.
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