scholarly journals Observation of Scale Invariance in Two-Dimensional Matter-Wave Townes Solitons

2021 ◽  
Vol 127 (2) ◽  
Author(s):  
Cheng-An Chen ◽  
Chen-Lung Hung
Keyword(s):  
Scale Invariance ◽  
Matter Wave ◽  
Two Dimensional

scholarly journals Anomalous Breaking of Scale Invariance in a Two-Dimensional Fermi Gas

2018 ◽  
Vol 121 (12) ◽  
Author(s):  
M. Holten ◽  
L. Bayha ◽  
A. C. Klein ◽  
P. A. Murthy ◽  
P. M. Preiss ◽  
...  
Keyword(s):  
Scale Invariance ◽  
Fermi Gas ◽  
Two Dimensional

scholarly journals Observation of sub-wavelength phase structure of matter wave with two-dimensional optical lattice by Kapitza-Dirac diffraction

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Kai Wen ◽  
Zengming Meng ◽  
Pengjun Wang ◽  
Liangwei Wang ◽  
Liangchao Chen ◽  
...  
Keyword(s):  
Phase Structure ◽  
Optical Lattice ◽  
Matter Wave ◽  
Two Dimensional ◽  
Structure Of Matter ◽  
Sub Wavelength

SOLVING THE TWO-DIMENSIONAL INVERSE FRACTAL PROBLEM WITH THE WAVELET TRANSFORM

Fractals ◽  
1996 ◽  
Vol 04 (04) ◽  
pp. 469-475 ◽  
Author(s):  
ZBIGNIEW R. STRUZIK
Keyword(s):  
Wavelet Transform ◽  
Scale Invariance ◽  
Wavelet Decomposition ◽  
Two Dimensions ◽  
The Self ◽  
Continuous Wavelet ◽  
Two Dimensional ◽  
One Dimensional ◽  
Affine Functions ◽  
The One

The methodology of the solution to the inverse fractal problem with the wavelet transform1,2 is extended to two-dimensional self-affine functions. Similar to the one-dimensional case, the two-dimensional wavelet maxima bifurcation representation used is derived from the continuous wavelet decomposition. It possesses translational and scale invariance necessary to reveal the invariance of the self-affine fractal. As many fractals are naturally defined on two-dimensions, this extension constitutes an important step towards solving the related inverse fractal problem for a variety of fractal types.

Quadrupolar matter-wave soliton in two-dimensional free space

2015 ◽  
Vol 10 (4) ◽  
pp. 1-7 ◽  
Author(s):  
Jia-Sheng Huang ◽  
Xun-Da Jiang ◽  
Huai-Yu Chen ◽  
Zhi-Wei Fan ◽  
Wei Pang ◽  
...  
Keyword(s):  
Free Space ◽  
Matter Wave ◽  
Two Dimensional

scholarly journals Matter-wave Fourier optics with a strongly interacting two-dimensional Fermi gas

2014 ◽  
Vol 90 (4) ◽  
Author(s):  
P. A. Murthy ◽  
D. Kedar ◽  
T. Lompe ◽  
M. Neidig ◽  
M. G. Ries ◽  
...  
Keyword(s):  
Fermi Gas ◽  
Matter Wave ◽  
Fourier Optics ◽  
Two Dimensional ◽  
Strongly Interacting

scholarly journals Observation of scale invariance and universality in two-dimensional Bose gases

Nature ◽  
2011 ◽  
Vol 470 (7333) ◽  
pp. 236-239 ◽  
Author(s):  
Chen-Lung Hung ◽  
Xibo Zhang ◽  
Nathan Gemelke ◽  
Cheng Chin
Keyword(s):  
Scale Invariance ◽  
Two Dimensional ◽  
Bose Gases

scholarly journals Gravity as the breakdown of conformal invariance

2015 ◽  
Vol 24 (12) ◽  
pp. 1543002 ◽  
Author(s):  
Giovanni Amelino-Camelia ◽  
Michele Arzano ◽  
Giulia Gubitosi ◽  
João Magueijo
Keyword(s):  
Gravity Waves ◽  
Conformal Invariance ◽  
Scale Invariance ◽  
Big Bang ◽  
Two Dimensional ◽  
Top Down ◽  
Scale Invariant ◽  
Primordial Power Spectrum ◽  
The Big Bang ◽  
The Universe

In this paper, we propose that at the beginning of the universe gravity existed in a limbo either because it was switched off or because it was only conformally coupled to all particles. This picture can be reverse-engineered from the requirement that the cosmological perturbations be (nearly) scale-invariant without the need for inflation. It also finds support in recent results in quantum gravity suggesting that spacetime becomes two-dimensional at super-Planckian energies. We advocate a novel top-down approach to cosmology based on the idea that gravity and the Big Bang Universe are relics from the mechanism responsible for breaking the fundamental conformal invariance. Such a mechanism should leave clear signatures in departures from scale-invariance in the primordial power spectrum and the level of gravity waves generated.

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