scholarly journals Nonlinear corrections in the quantization of a weakly nonideal Bose gas at zero temperature

2021 ◽  
Vol 153 ◽  
pp. 111505
Author(s):  
Mikhail N. Smolyakov
Keyword(s):  
Bose Gas ◽  
2016 ◽  
Vol 30 (30) ◽  
pp. 1650367 ◽  
Author(s):  
Lei Chen ◽  
Zhidong Zhang ◽  
Zhaoxin Liang

We investigate the non-equilibrium properties of a weakly interacting Bose gas subjected to a multi-pulsed quench at zero temperature, where the interaction parameter in the Hamiltonian system switches between values [Formula: see text] and [Formula: see text] for multiple times. The one-body and two-body correlation functions as well as Tan’s contact are calculated. The quench induced excitations are shown to increase with the number of quenches for both [Formula: see text] and [Formula: see text]. This implies the possibility to use multi-pulsed quantum quench as a more powerful way as compared to the “one-off” quench in controllable explorations of non-equilibrium quantum many-body systems. In addition, we study the ultra-short-range property of the two-body correlation function after multiple interaction quenches, which can serve as a probe of the “Tan’s contact” in the experiments. Our findings allow for an experimental probe using state of the art techniques with ultracold quantum gases.


1985 ◽  
Vol 32 (1) ◽  
pp. 560-563 ◽  
Author(s):  
Álvaro A. Caparica ◽  
Oscar Hipólito

1997 ◽  
Vol 11 (28) ◽  
pp. 3305-3310
Author(s):  
S. Stringari

Starting from the equations of Gross–Pitaevskii for the order parameter we investigate the collective modes of a trapped Bose-condensed gas. These excitations are analogous to the propagation of phonons in homogeneous Bose superfluids. The coupling between the monopole and quadrupole vibrations in a deformed trap is explicitly investigated and the predictions are successfully compared with recent experimental data.


Author(s):  
Ji-Chong Yang ◽  
Yu Shi

In this paper, we investigate the spectral function of the Higgs mode in a two-dimensional Bose gas by using the effective field theory in the zero-temperature limit. Our approach explains the experimental feature that the peak of the spectral function is a soft continuum rather than a sharp peak, broadens and vanishes in the superfluid phase, which cannot be explained in terms of the [Formula: see text] model. We also find that the scalar susceptibility is the same as the longitudinal susceptibility.


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