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Expansion dynamics in a one-dimensional hard-core boson model with three-body interactions
Jie Ren1, Yin-Zhong Wu1,2, Xue-Fen Xu3
1Department of Physics and Jiangsu Laboratory of Advanced Functional Material, Changshu Institute of Technology, Changshu 215500, China.
Bosons in a 1D model expand ballistically. Increasing three-body interactions slows their expansion, offering insights into phase transitions.
Area of Science:
- Quantum physics
- Condensed matter physics
- Many-body systems
Background:
- Investigating quantum many-body dynamics is crucial for understanding complex systems.
- Hard-core boson models provide a simplified yet powerful framework for studying interacting particles.
Purpose of the Study:
- To numerically investigate the expansion dynamics of bosons in a 1D hard-core boson model.
- To analyze the impact of three-body interactions on ballistic expansion.
- To explore the potential of expansion dynamics for detecting phase transitions.
Main Methods:
- Adaptive time-dependent density matrix renormalization group (TDMRG) method.
- Numerical simulations of boson expansion in a one-dimensional lattice.
- Analysis of local density and radius (Rn) to determine expansion velocity (V).
Main Results:
- Bosons exhibit ballistic expansion under weak interactions.
- Expansion velocity (V) is dependent on the number of bosons.
- Increased three-body interactions lead to a decreased expansion velocity.
- Ballistic expansion is observed in the gapless phase regime after quenching.
Conclusions:
- Three-body interactions significantly influence boson expansion dynamics.
- Expansion velocity serves as a sensitive probe for interaction strength.
- The study highlights the potential of expansion dynamics for identifying phase transitions in quantum systems.
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