Random walk and non-Gaussianity of the 3D second-quantized
Schr\"odinger-Newton nonlocal soliton
- URL: http://arxiv.org/abs/2202.10741v4
- Date: Tue, 31 Jan 2023 07:58:34 GMT
- Title: Random walk and non-Gaussianity of the 3D second-quantized
Schr\"odinger-Newton nonlocal soliton
- Authors: Claudio Conti
- Abstract summary: We study the dynamics of 3D+1 solitons in the second-quantized nonlocal nonlinear Schroedinger-Newton equation.
numerical results unveil the onset of non-Gaussian statistics of the soliton.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Nonlocal quantum fluids emerge as dark-matter models and tools for quantum
simulations and technologies. However, strongly nonlinear regimes, like those
involving multi-dimensional self-localized solitary waves, are marginally
explored for what concerns quantum features. We study the dynamics of 3D+1
solitons in the second-quantized nonlocal nonlinear Schroedinger-Newton
equation. We theoretically investigate the quantum diffusion of the soliton
center of mass and other parameters, varying the interaction length. 3D+1
simulations of the Ito partial differential equations arising from the positive
P-representation of the density matrix validate the theoretical analysis. The
numerical results unveil the onset of non-Gaussian statistics of the soliton,
which may signal quantum-gravitational effects and be a resource for quantum
computing. The non-Gaussianity arises from the interplay between the soliton
parameter quantum diffusion and stable invariant propagation. The fluctuations
and the non-Gaussianity are universal effects expected for any nonlocality and
dimensionality.
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