Exponential bounds of the condensation for dilute Bose gases
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929656066736128 |
|---|---|
| author | Nam, Phan Thành Rademacher, Simone |
| author_facet | Nam, Phan Thành Rademacher, Simone |
| contents | We consider N bosons on the unit torus $Λ= [0,1]^3$ in the Gross-Pitaevski regime where the interaction potential scales as $N^2 V (N(x -y))$. We prove that the thermal equilibrium at low temperatures exhibits the Bose-Einstein condensation in a strong sense, namely the probability of having $n$ particles outside of the condensation decays exponentially in $n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_10622 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Exponential bounds of the condensation for dilute Bose gases Nam, Phan Thành Rademacher, Simone Mathematical Physics We consider N bosons on the unit torus $Λ= [0,1]^3$ in the Gross-Pitaevski regime where the interaction potential scales as $N^2 V (N(x -y))$. We prove that the thermal equilibrium at low temperatures exhibits the Bose-Einstein condensation in a strong sense, namely the probability of having $n$ particles outside of the condensation decays exponentially in $n$. |
| title | Exponential bounds of the condensation for dilute Bose gases |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2307.10622 |