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Floquet Realization and Signatures of One-Dimensional Anyons in an Optical Lattice
Christoph Sträter1, Shashi C L Srivastava1,2, André Eckardt1
1Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany.
Physical Review Letters
|November 26, 2016
Summary
We propose a simple optical-lattice experiment to simulate one-dimensional anyons using bosonic atoms. This method allows for continuous tuning between bosonic and fermionic behavior, observable via density oscillations.
Area of Science:
- Quantum physics
- Atomic physics
- Condensed matter physics
Background:
- Simulating exotic quantum phenomena like anyonic statistics is crucial for advancing quantum computing and condensed matter physics.
- Optical lattices provide a powerful platform for realizing and controlling quantum many-body systems.
Purpose of the Study:
- To propose a novel and experimentally feasible scheme for mimicking one-dimensional anyons in an optical-lattice setup.
- To explore the continuous transition between bosonic and fermionic statistics in a controllable manner.
- To identify experimental signatures for observing this transition.
Main Methods:
- Utilizing a bosonic representation of the anyonic Hubbard model.
- Implementing lattice-shaking-induced resonant tunneling against potential offsets.
- Combining lattice tilt and strong on-site interactions to create potential offsets.
- Analyzing real-space density and momentum distributions for experimental signatures.
Main Results:
- A simple optical-lattice scheme is proposed, requiring no additional lasers beyond those for lattice creation.
- The scheme allows for continuous interpolation between bosonic and fermionic statistics by varying the statistical angle.
- Real-space density directly reflects the anyonic model, but momentum distribution does not.
- Friedel oscillations in density are identified as a probe for continuous fermionization.
Conclusions:
- The proposed scheme offers a practical method for simulating anyonic physics in optical lattices.
- The continuous tuning of statistical properties provides a unique experimental handle on quantum statistics.
- Friedel oscillations serve as a key experimental observable for detecting fermionization in bosonic systems.
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