Dynamics of "Classical" Bosons, Fermions, and beyond
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909914707787776 |
|---|---|
| author | Subramanyan, Varsha Hansson, T. H. Vishveshwara, Smitha |
| author_facet | Subramanyan, Varsha Hansson, T. H. Vishveshwara, Smitha |
| contents | We study the classical mechanics and dynamics of particles that retains some memory of quantum statistics. Our work builds on earlier work on the statistical mechanics and thermodynamics of such particles. Starting from the effective classical manifold associated with two-particle bosonic and fermionic coherent states, we show how their exchange statistics is reflected in the symplectic form of the manifold. We demonstrate the classical analogues of exclusion or bunching behavior expected in such states by studying their trajectories in various quadratic potentials. Our examples are two-particle coherent states in one dimension and two-particle vortex motion in the lowest Landau level. We finally compare and contrast our results with previous simulations of the full quantum system, and with existing results on the geometric interpretations of quantum mechanics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_12855 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dynamics of "Classical" Bosons, Fermions, and beyond Subramanyan, Varsha Hansson, T. H. Vishveshwara, Smitha Quantum Physics Other Condensed Matter We study the classical mechanics and dynamics of particles that retains some memory of quantum statistics. Our work builds on earlier work on the statistical mechanics and thermodynamics of such particles. Starting from the effective classical manifold associated with two-particle bosonic and fermionic coherent states, we show how their exchange statistics is reflected in the symplectic form of the manifold. We demonstrate the classical analogues of exclusion or bunching behavior expected in such states by studying their trajectories in various quadratic potentials. Our examples are two-particle coherent states in one dimension and two-particle vortex motion in the lowest Landau level. We finally compare and contrast our results with previous simulations of the full quantum system, and with existing results on the geometric interpretations of quantum mechanics. |
| title | Dynamics of "Classical" Bosons, Fermions, and beyond |
| topic | Quantum Physics Other Condensed Matter |
| url | https://arxiv.org/abs/2409.12855 |