Spin dynamics of large-spin fermions in a harmonic trap

Understanding the collective dynamics in a many-body system has been a central task in condensed matter physics. To achieve this task, we develop a Hartree–Fock theory to study the collective oscillations of spinor Fermi system, motivated by recent experiment on spin-9/2 fermions. We observe an osci...

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Bibliographic Details
Published in:Annals of physics 2017-04, Vol.379, p.175-186
Main Authors: Xu, Junjun, Feng, Tongtong, Gu, Qiang
Format: Article
Language:English
Subjects:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Collective oscillation
FERMI GAS
FERMIONS
HARMONICS
HARTREE-FOCK METHOD
Hartree–Fock equation
Large-spin Fermi gas
PHASE SPACE
SPIN
Spinor dynamics
Spinor fermion
SPINORS
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Summary:Understanding the collective dynamics in a many-body system has been a central task in condensed matter physics. To achieve this task, we develop a Hartree–Fock theory to study the collective oscillations of spinor Fermi system, motivated by recent experiment on spin-9/2 fermions. We observe an oscillation period shoulder for small rotation angles. Different from previous studies, where the shoulder is found connected to the resonance from periodic to running phase, here the system is always in a running phase in the two-body phase space. This shoulder survives even in the many-body oscillations, which could be tested in the experiments. We also show how these collective oscillations evolve from two- to many-body. Our theory provides an alternative way to understand the collective dynamics in large-spin Fermi systems.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2017.02.003