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Setting Limits on Supersymmetry Using Simplified Models

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

Initial value representation for the SU(n) semiclassical propagator.

Thiago F Viscondi¹, Marcus A M de Aguiar

¹Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas, 13083-859, Campinas, SP, Brazil. viscondi@ifi.unicamp.br

The Journal of Chemical Physics

|June 28, 2011

Summary

This summary is machine-generated.

This study introduces a new method for analyzing quantum systems using classical trajectories. The approach enhances the accuracy of semiclassical approximations for bosonic dynamics, particularly in multi-mode systems like Bose-Einstein condensates.

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Area of Science:

Quantum mechanics
Atomic physics
Computational physics

Background:

Semiclassical methods are crucial for understanding quantum dynamics.
SU(n) coherent states offer a powerful representation for quantum systems.
Previous methods faced challenges in handling multi-mode bosonic systems.

Purpose of the Study:

To develop a novel framework for the semiclassical propagator in SU(n) coherent states.
To enable efficient analysis of bosonic dynamics in n modes with a fixed particle number.
To provide a practical method for studying complex systems like trapped Bose-Einstein condensates.

Main Methods:

Recasting the semiclassical propagator as an integral over initial-valued trajectories.
Employing a filtering mechanism to select relevant trajectory contributions.
Applying the method to a Bose-Einstein condensate in a triple-well potential.

Main Results:

The proposed method accurately approximates semiclassical dynamics.
The framework efficiently handles bosonic systems with a fixed total number of particles.
Demonstrated accuracy and efficiency for a triple-well Bose-Einstein condensate model.

Conclusions:

The new trajectory-based method offers a significant advancement for semiclassical quantum dynamics.
This approach is well-suited for studying complex bosonic systems and quantum phenomena.
The exemplified application highlights the practical utility and computational advantages of the developed framework.