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Interaction-Induced Non-Hermitian Topological Phases from a Dynamical Gauge Field
1Advanced Institute for Materials Research (WPI-AIMR), Tohoku University, Sendai 980-8577, Japan.
Physical Review Letters
|November 14, 2022
Summary
Interparticle interactions create a complex energy spectrum in a minimal non-Hermitian model. This system exhibits non-Hermitian topology with a point gap for two or more particles, unlike the single-particle case.
Area of Science:
- Condensed matter physics
- Quantum mechanics
- Topological materials
Background:
- Non-Hermitian systems exhibit unique topological properties.
- Interactions can significantly alter the topological nature of quantum systems.
- Topological phases are robust against perturbations, making them relevant for quantum technologies.
Purpose of the Study:
- To introduce a minimal non-Hermitian model exhibiting interaction-induced non-Hermitian topology.
- To investigate the transition from a topologically trivial to a nontrivial phase.
- To provide a pathway for experimental realization.
Main Methods:
- Development of a one-dimensional non-Hermitian model with a density-dependent gauge field.
- Analysis of the single-particle and multi-particle energy spectra.
- Construction of an effective doublon model for two-particle interactions.
- Proposal of a Floquet protocol for experimental implementation.
Main Results:
- The single-particle system is topologically trivial.
- The presence of two or more particles induces a nontrivial non-Hermitian topology with a point gap.
- The effective doublon model accurately describes the two-particle interacting system.
- A concrete Floquet protocol based on modulating Hatano-Nelson model hoppings is proposed.
Conclusions:
- Interparticle interactions are crucial for inducing non-Hermitian topology in this model.
- The developed model offers a platform for studying interaction-driven topological phases.
- Experimental realization in atomic and optical systems is feasible.
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