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原子费米气体附近BCS-BEC过渡区Ginzburg-Landau方程组稳态解的存在性 被引量:1

Stationary solutions for a Ginzburg-Landau system with atomic Fermi-gases near the BCS-BEC crossover
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摘要 研究了费米-玻色模型中Feshbach共振附近费米原子气体超流中所呈现的依赖于时间的Ginzburg-Landau(TDGL)方程组,并得到了该方程组在一定条件下稳态解的存在性及正则性。 In this paper, we investigate the time-dependent Ginzburg-Landau(TDGL) equations come from the superfluid atomic Fermi-gases near the Feshbach resonance from the fermion-boson model. We prove the existence of the stationary solution for this system under some conditions. And the exponential decay of the solution is obtained in our paper.
出处 《佛山科学技术学院学报(自然科学版)》 CAS 2016年第1期35-39,共5页 Journal of Foshan University(Natural Science Edition)
基金 国家自然科学基金资助项目(11101160,11271141)
关键词 稳态解 GINZBURG-LANDAU方程 山路引理 stationary solution Ginzburg-Landau system mountain-pass theorem
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  • 1Machida M, Koyama T. Time-dependent Ginzburg-Landau theory for atomic Fermi gases near the BCS-BEC crossover. Phy Rev A, 2006, 74: 033603.
  • 2Aranson I S, Kramer L. The world of the complex Ginzburg-Landau equation. Rev Mod Phys, 2002, 74: 99-143.
  • 3Holland M, Kokkelmans S J J M F, Chiofalo M L, Walser R. Resonance superfluidity in a quantum degenerate Fermi gas. Phys Rev Lett, 2001, 87(12): 120406.
  • 4Ohashi Y, Griffin A. BCS-BEC crossover in a gas of Fermi atoms with a Feshbach resonance. Phys Rev Lett, 2002, 89(13): 130402.
  • 5Timmermans E, Furuya K, Milonni P W, Kerman A K. Prospect of creating a composite Fermi-Bose superfluid. Phys Lett A, 2001, 285(3-4): 228-233.
  • 6Gennes P G de. Superconductivity of Metals and Alloys (Addisom-Wesley, Reading, MA,1998); A.A. Abrikosov, Fundamentals of the Theory of Metals (New York: Elsevier- Science Ltd, 1988).
  • 7Drechsler M, Zwerger W. Crossover from BCS-superconductivity to Bose-condensation. Ann Phys, 1992, 504(1): 15-23.
  • 8Melo C A R Sa de, Randeria M, Engelbrecht J R. Crossover from BCS to Bose superconductivity: transition temperate and time-dependent Ginzburg-Landau theory. Phys Rev Lett 1993, 71: 3202-3205.
  • 9Baranov M A, Petrov D S. Low-energy collective excitations in a superfluid trapped Fermi gas. Phy Rev A, 2000, 62: 041601(R).
  • 10De Palo S, Castellani C, Dicastro C, Chakraverty B K. Effective action for superconductors and BCS-Bose crossover. Phys Rev B, 1999, 60: 564-573.

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