scholarly journals Higgs mode in (2 + 1)-dimensional O(2) model

2021 ◽  
Author(s):  
Ji-Chong Yang ◽  
Yu Shi
Keyword(s):  
Weak Interaction ◽  
Temperature Limit ◽  
Bose Gas ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Spectral Functions ◽  
Text Model ◽  
Higgs Mode ◽  
Mode A

In this paper, we investigate the spectral functions of the Higgs mode in [Formula: see text] model, which can be experimentally realized in a two-dimensional Bose gas. Zero temperature limit is considered. Our calculation fully includes the 2-loop contributions. Peaks show up in the spectral functions of both the longitudinal and the scalar susceptibilities. Thus, this model cannot explain the disappearance of the response at the weak interaction limit. Neither it can explain the similarity between the longitudinal and the scalar susceptibilities in the visibility of the Higgs mode. A possible lower peak at about [Formula: see text] is also noted.

scholarly journals Effective field theory of the Higgs mode in a two-dimensional dilute Bose gas

2021 ◽  
Author(s):  
Ji-Chong Yang ◽  
Yu Shi
Keyword(s):  
Field Theory ◽  
Spectral Function ◽  
Effective Field Theory ◽  
Temperature Limit ◽  
Bose Gas ◽  
Effective Field ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Text Model ◽  
Higgs Mode

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.

Correlations of a zero-temperature two-dimensional charged Bose gas with ln(r) interaction

1985 ◽  
Vol 32 (1) ◽  
pp. 560-563 ◽  
Author(s):  
Álvaro A. Caparica ◽  
Oscar Hipólito
Keyword(s):  
Bose Gas ◽  
Two Dimensional ◽  
Zero Temperature

Exact duality of the dissipative Hofstadter model on a triangular lattice: T-duality and noncommutative algebra

2016 ◽  
Vol 31 (27) ◽  
pp. 1650154
Author(s):  
Taejin Lee
Keyword(s):  
Parameter Space ◽  
Triangular Lattice ◽  
Uniform Magnetic Field ◽  
Quantum Wires ◽  
Temperature Limit ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Dimensional Parameter ◽  
Noncommutative Algebra ◽  
Dual Transformation

We study the dissipative Hofstadter model on a triangular lattice, making use of the [Formula: see text] T-dual transformation of string theory. The [Formula: see text] dual transformation transcribes the model in a commutative basis into the model in a noncommutative basis. In the zero-temperature limit, the model exhibits an exact duality, which identifies equivalent points on the two-dimensional parameter space of the model. The exact duality also defines magic circles on the parameter space, where the model can be mapped onto the boundary sine-Gordon on a triangular lattice. The model describes the junction of three quantum wires in a uniform magnetic field background. An explicit expression of the equivalence relation, which identifies the points on the two-dimensional parameter space of the model by the exact duality, is obtained. It may help us to understand the structure of the phase diagram of the model.

scholarly journals TWO-DIMENSIONAL BOSE GAS AT LOW DENSITY

1993 ◽  
Vol 07 (15) ◽  
pp. 1029-1038 ◽  
Author(s):  
A.A. OVCHINNIKOV
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Scattering Length ◽  
Three Dimensional ◽  
Bose Gas ◽  
Dimensional System ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Three Dimensional System

We propose a new method to describe the interacting bose gas at zero temperature. For three-dimensional system, the correction to the ground state energy in density is reproduced. For the two-dimensional dilute bose gas, the ground state energy in the leading order in the parameter | ln α2ρ|−1, where α is a two-dimensional scattering length, is obtained.

scholarly journals Dissipation of Quantum Turbulence in the Zero Temperature Limit

2007 ◽  
Vol 99 (26) ◽  
Author(s):  
P. M. Walmsley ◽  
A. I. Golov ◽  
H. E. Hall ◽  
A. A. Levchenko ◽  
W. F. Vinen
Keyword(s):  
Quantum Turbulence ◽  
Temperature Limit ◽  
Zero Temperature

scholarly journals Crossover in the dynamical critical exponent of a quenched two-dimensional Bose gas

2021 ◽  
Vol 3 (1) ◽  
Author(s):  
A. J. Groszek ◽  
P. Comaron ◽  
N. P. Proukakis ◽  
T. P. Billam
Keyword(s):  
Critical Exponent ◽  
Bose Gas ◽  
Two Dimensional
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