التفاصيل البيبلوغرافية
| العنوان: |
Statistics of the maximal distance and momentum in a trapped Fermi gas at low temperature |
| المؤلفون: |
DEAN, David S., LE DOUSSAL, Pierre, MAJUMDAR, Satya. N., SCHEHR, Gregory |
| بيانات النشر: |
IOP Publishing |
| سنة النشر: |
2016 |
| مصطلحات موضوعية: |
Extreme value statistics, Quantum gases, Random matrix theory and extensions, Physique [physics]/Matière Condensée [cond-mat]/Mécanique statistique [cond-mat.stat-mech], Physique [physics]/Matière Condensée [cond-mat]/Gaz Quantiques [cond-mat.quant-gas], Physique [physics]/Physique mathématique [math-ph], Mathématiques [math]/Probabilités [math.PR] |
| الوصف: |
We consider N non-interacting fermions in an isotropic d-dimensional harmonic trap. We compute analytically the cumulative distribution of the maximal radial distance of the fermions from the trap center at zero temperature. While in d = 1 the limiting distribution (in the large N limit), properly centered and scaled, converges to the squared Tracy–Widom distribution of the Gaussian unitary ensemble in random matrix theory, we show that for all d > 1, the limiting distribution converges to the Gumbel law.These limiting forms turn out to be universal, i.e. independent of the details of the trapping potential for a large class of isotropic trapping potentials. We also study the position of the right-most fermion in a given direction in d dimensions and, in the case of a harmonic trap, the maximum momentum, and show that they obey similar Gumbel statistics. Finally, we generalize these results to low but finite temperature. |
| نوع الوثيقة: |
article in journal/newspaper |
| اللغة: |
English |
| تدمد: |
1742-5468 |
| العلاقة: |
1612.03954 |
| DOI: |
10.1088/1742-5468/aa6dda |
| الإتاحة: |
https://doi.org/10.1088/1742-5468/aa6ddaTest |
| حقوق: |
http://creativecommons.org/licenses/by-saTest/ |
| رقم الانضمام: |
edsbas.1355D5D0 |
| قاعدة البيانات: |
BASE |
