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arXiv 0910.1749quant-phcond-mat.quant-gasphysics.comp-ph
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强相互作用一维玻色气体相互作用猝灭后的费米化动力学

Fermionisation dynamics of a strongly interacting 1D Bose gas after an interaction quench

Dominik Muth, Bernd Schmidt, Michael Fleischhauer

摘要:

我们研究了一维玻色气体的相互作用强度从零到一个有限值的突然变化后,使用数值时间演化块抽取(TEBD)算法的动力学。结果表明,尽管系统的可积性,局部量,如两粒子相关$g^{(2)}(x,x)$达到稳态值在短的特征时间内成反比的Tonks参数$γ$和密度的平方。渐近值非常接近于具有对应于初始能量和密度的局部温度的有限温度巨正则系综。另一方面,非局部密度-密度相关在由振荡相关波的有限传播速度确定的大得多的时间尺度上接近稳定状态。

英文摘要:

We study the dynamics of a one-dimensional Bose gas after a sudden change of the interaction strength from zero to a finite value using the numerical time-evolving block decimation (TEBD) algorithm. It is shown that despite the integrability of the system, local quantities such as the two-particle correlation $g^{(2)}(x,x)$ attain steady state values in a short characteristic time inversely proportional to the Tonks parameter $γ$ and the square of the density. The asymptotic values are very close to those of a finite temperature grand canonical ensemble with a local temperature corresponding to initial energy and density. Non-local density-density correlations on the other hand approach a steady state on a much larger time scale determined by the finite propagation velocity of oscillatory correlation waves.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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