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  • 學位論文

SU(N)對稱破壞之量子淬火在SU(N)費米氣體中所導致的預熱現象以及自旋翻轉碰撞

Pre-thermalization and spin-changing collisions after ramping up the strength of a SU(N)-symmetry breaking interaction in an SU(N) Fermi Gas

指導教授 : 米格爾

摘要


我們研究了SU(N)對稱破壞的量子淬火在SU(N)費米氣體中所導致的預熱(pre-thermalization)以及自旋翻轉轉碰撞。我們分析了對於不同的起始自旋極化狀態的影響並發現對自旋翻轉會壓抑預熱的產生。我們還研究了淬火時間的影響,對於較長的淬火時間系統會傾向於其平衡態的行為。

並列摘要


We explore the short-time evolution of an SU(N) Fermi-liquid following the quench of a SU(N)-symmetry interaction. The conditions for the existence of a pre-thermalized regime after turning on the interaction strength are analyzed. We find that spin-changing collisions play an important role in suppressing pre-thermalization for spin-polarized initial states. For an unpolarized (i.e. SU$(N)$ symmetric) initial ground state, a pre-thermalized regime is observed, which is robust to presence of (SU$(N)$-symmetric) interactions in the initial state. We also study the short-time dynamics for finite-time ramps of the interaction strength. For long ramp-time, the value of the discontinuity approaches the equilibrium value of the post-quench Hamiltonian.

參考文獻


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