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Coexistence of diffusive and ballistic transport in a simple spin ladder
1Department of Physics, Faculty of Mathematics, University of Ljubljana, 1000 Ljubljana, Slovenia.
This study reveals that quantum chaotic systems can exhibit ballistic transport in specific subspaces, while other parts show diffusive transport, demonstrating coexistence of these modes in a spin ladder model.
Area of Science:
- Condensed Matter Physics
- Quantum Mechanics
- Statistical Mechanics
Background:
- Nonintegrable spin ladder systems are crucial for understanding quantum dynamics.
- Magnetization transport properties are key indicators of system behavior.
- Distinguishing between ballistic and diffusive transport is fundamental in physics.
Purpose of the Study:
- To investigate magnetization transport in a nonintegrable spin ladder with specific coupling types.
- To identify conditions supporting ballistic and diffusive transport modes.
- To explore the coexistence of different transport behaviors in quantum chaotic systems.
Main Methods:
- Analysis of a nonintegrable spin ladder model with XX and XXZ couplings.
- Identification of invariant subspaces within the system.
- Characterization of magnetization transport (ballistic vs. diffusive) in different subspaces.
Main Results:
- Invariant subspaces supporting ballistic magnetization transport were identified.
- The complementary subspace exhibited diffusive magnetization transport.
- Coexistence of ballistic and diffusive transport modes was demonstrated in a simple nonintegrable model.
Conclusions:
- Quantum chaotic systems can possess subspaces with ballistic transport properties.
- Simple nonintegrable models can host coexisting ballistic and diffusive transport modes.
- The studied system reduces to the one-dimensional Hubbard model in a specific limit.
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