Josephson磁通孤子振荡器中热噪声研究

研究了可作为微波振荡器的长Sosephson隧道结中的磁通孤子在有限温度下受热噪声影响的运动。当Josephson隧道结被偏置在零场台阶状态,热噪声使孤子的运动速度在平均值附近涨落,孤子的平均速度对应于隧道结的平均电压,也对应于对外辐射电磁波的平均频率,速度的涨落对应于辐射一有限的频带宽度。研究表明,隧道结典型辐射频率为10GHZ,在液氦温区其频带宽约为1KHZ,是很窄的。热噪声同时也激发了一些连续模。用反散射方法的微扰论讨论了每模式的平均能量为k_BT,而孤子在低速极限的平均动能为1 关键词：

ON THERMAL FLUCTUATIONS IN A JOSEPHSON-FLUXON OSCILLATOR

Thermal fluctuations in a Josephson-fluxon oscillator are considered with emphasises on the stochastic dynamics of fluxon and the non-trivial continuum-mode excitations. Analytical expressions for the radiation line-width of the oscillator are derived from perturbation theory and standard stochastic process theory. The averaged kinetic energy of a low-velocity fluxon is shown to be k_BT/2. The continuum excitations are explored in the framework of the inverse scattering transform approach. The averaged energy per wave mode turns out to be k_BT,and this justifies the adiabatic approximation applied in the fluxon stochastic dynamics.