光晶格中玻色子的实时Ginzburg-Landau理论
Real-Time Ginzburg-Landau Theory for Bosons in Optical Lattices
摘要:
在Schwinger-Keldysh形式主义中,我们导出了描述复杂序参量场的实时动力学的玻色-哈伯德模型的Ginzburg-Landau理论。分析在量子相变附近的激发,原来,粒子/空穴分散在莫特相位映射连续到相应的振幅/相位激发在超流相。此外,在超流相,我们发现一个声音模式,这是根据最近的布拉格光谱测量在Bogoliubov制度,以及一个额外的间隙模式,这似乎已经通过晶格调制检测。
英文摘要:
Within the Schwinger-Keldysh formalism we derive a Ginzburg-Landau theory for the Bose-Hubbard model which describes the real-time dynamics of the complex order parameter field. Analyzing the excitations in the vicinity of the quantum phase transitions it turns out that particle/hole dispersions in the Mott phase map continuously onto corresponding amplitude/phase excitations in the superfluid phase. Furthermore, in the superfluid phase we find a sound mode, which is in accordance with recent Bragg spectroscopy measurements in the Bogoliubov regime, as well as an additional gapped mode, which seems to have been detected via lattice modulation.
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