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Published on: August 2, 2019
Escape behavior of quantum two-particle systems with Coulomb interactions
Tooru Taniguchi1, Shin-ichi Sawada
1School of Science and Technology, Kwansei Gakuin University, 2-1 Gakuen, Sanda City, Hyogo, Japan. t-taniguchi@kwansei.ac.jp
Summary
This study explores quantum escapes of two particles from confinement. For identical free fermions and bosons, survival probability decays differently over time, influenced by quantum effects like the Pauli exclusion principle.
Area of Science:
- Quantum mechanics
- Condensed matter physics
- Atomic, molecular, and optical physics
Background:
- Investigates quantum escapes of two particles from a confined 1D region to a semi-infinite lead.
- Compares the behavior of interacting particles with free particles.
Purpose of the Study:
- To analyze the survival probability of two particles escaping confinement.
- To understand the influence of quantum effects (e.g., Pauli exclusion principle) and Coulomb interactions on escape dynamics.
Main Methods:
- Analytical calculations for free identical fermions and bosons.
- Numerical simulations for particles with attractive and repulsive Coulomb interactions.
Main Results:
- For free identical fermions (bosons), survival probability decays as ~t(-10) (~t(-6)), compared to ~t(-3) for a single free particle.
- With attractive Coulomb interactions, survival probability decays as ~t(-3) at long times.
- With repulsive Coulomb interactions, survival probability exhibits exponential decay ~exp(-αt), largely independent of initial energy.
Conclusions:
- Quantum effects and Coulomb interactions significantly alter particle escape dynamics.
- The decay rates of survival probability provide insights into inter-particle interactions and quantum statistics.
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