Particle-Hole Character of the Higgs and Goldstone Modes in Strongly Interacting Lattice Bosons.

Particle-Hole Character of the Higgs and Goldstone Modes in Strongly Interacting Lattice Bosons.
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强相互作用晶格玻色子中希格斯和戈德斯通模式的粒子空穴特征。

DOI:
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发表时间:
2017
影响因子:
8.6
通讯作者:
C. Menotti
C. Menotti
中科院分区:
物理与天体物理1区
文献类型:
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作者:
M. D. Liberto;A. Recati;A. Recati;N. Trivedi;I. Carusotto;C. Menotti

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我们利用Gutzwiller方法研究了强相互作用超流相中玻色-哈伯德模型的低能激发。我们提取每个模式的单粒子和单孔激发振幅,并报告紧急模式依赖于特定的弧形线上的粒子-空穴对称性的相图连接著名的洛仑兹不变的限制的玻色-哈伯德模型。通过跟踪序参量的同相粒子-空穴对称振荡,我们提供了一个答案的纯振幅希格斯模式的命运远离整数密度临界点的长期存在的问题。此外,我们指出,异相对称振荡的gapless戈德斯通模式是负责全面抑制的凝聚密度振荡。可能的检测协议进行了讨论。
We study the low-energy excitations of the Bose-Hubbard model in the strongly interacting superfluid phase using a Gutzwiller approach. We extract the single-particle and single-hole excitation amplitudes for each mode and report emergent mode-dependent particle-hole symmetry on specific arc-shaped lines in the phase diagram connecting the well-known Lorentz-invariant limits of the Bose-Hubbard model. By tracking the in-phase particle-hole symmetric oscillations of the order parameter, we provide an answer to the long-standing question about the fate of the pure amplitude Higgs mode away from the integer-density critical point. Furthermore, we point out that out-of-phase symmetric oscillations in the gapless Goldstone mode are responsible for a full suppression of the condensate density oscillations. Possible detection protocols are also discussed.