Related papers: Induced osmotic vorticity in the quantum hydrodynamical picture

Induced osmotic vorticity in the quantum hydrodynamical picture

URL: http://arxiv.org/abs/2106.13225v3
Date: Wed, 10 Nov 2021 10:50:55 GMT
Title: Induced osmotic vorticity in the quantum hydrodynamical picture
Authors: C Dedes
Abstract summary: Solution entails attenuation related effects as non-unitary evolution, non-exponential quantum decay and entropy production. Time-invariant equation for the probability density is derived, analogous to the tensor Lighthill equation in aeroacoustics.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: A nonlinear wave mechanical equation is proposed by inserting an imaginary quantum potential into the Schr\"{o}dinger equation. An explicit expression for its solution is given under certain assumptions and it is shown that it entails attenuation related effects as non-unitary evolution, non-exponential quantum decay and entropy production. In the quantum hydrodynamical formulation the existence of circulation effects for the osmotic velocity field is established. Finally, a time-invariant equation for the probability density is derived, analogous to the tensor Lighthill equation in aeroacoustics, which admits both retarded and advanced solutions.

Related papers

Quantum Circuits for the heat equation with physical boundary conditions via Schrodingerisation [33.76659022113328]
This paper explores the explicit design of quantum circuits for quantum simulation of partial differential equations (PDEs) with physical boundary conditions. We present two methods for handling the inhomogeneous terms arising from time-dependent physical boundary conditions. We then apply the quantum simulation technique from [CJL23] to transform the resulting non-autonomous system to an autonomous system in one higher dimension.
arXiv Detail & Related papers (2024-07-22T03:52:14Z)
Quantum simulation of the Fokker-Planck equation via Schrodingerization [33.76659022113328]
This paper studies a quantum simulation technique for solving the Fokker-Planck equation. We employ the Schrodingerization method-it converts any linear partial and ordinary differential equation with non-Hermitian dynamics into systems of Schrodinger-type equations.
arXiv Detail & Related papers (2024-04-21T08:53:27Z)
Non-separable wave evolution equations in quantum kinetics [0.0]
Non-separable wave-like integro-differential equation for time evolution of Wigner distribution function is educed. Non-local dispersion effects may involve complex group velocities and also display non-unitary features as entropy production.
arXiv Detail & Related papers (2024-02-01T17:43:07Z)
Quantum mechanics without quantum potentials [0.0]
Non-locality in quantum mechanics can be resolved by considering relativistically covariant diffusion in spacetime. We introduce the concept of momentum equilinear to replace the second-order Bohm-Newton equations of motion.
arXiv Detail & Related papers (2024-01-08T18:51:38Z)
Real-time dynamics of false vacuum decay [49.1574468325115]
We investigate false vacuum decay of a relativistic scalar field in the metastable minimum of an asymmetric double-well potential. We employ the non-perturbative framework of the two-particle irreducible (2PI) quantum effective action at next-to-leading order in a large-N expansion.
arXiv Detail & Related papers (2023-10-06T12:44:48Z)
Quantum wave representation of dissipative fluids [0.0]
We present a mapping between a Schr"odinger equation with a shifted non-linear potential and the Navier-Stokes equation. The inclusion of the Bohm quantum potential plus the laplacian of the phase field in the non-linear term leads to continuity and momentum equations for a dissipative incompressible Navier-Stokes fluid.
arXiv Detail & Related papers (2023-08-10T23:44:27Z)
A Potential Based Quantization Procedure of the Damped Oscillator [0.0]
We formulate the quantization of the dissipative oscillator, which aids understanding of the above mentioned. We arrive at such an irreversible quantum theory by which the quantum losses can be described.
arXiv Detail & Related papers (2022-04-06T15:17:03Z)
Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
arXiv Detail & Related papers (2022-02-15T19:00:09Z)
A covariant non-local phase field model of Bohm's potential [0.0]
Bohm's quantum potential and the Madelung equations are obtained, showing explicitly that some of the hypotheses that led to the formulationb of quantum mechanics do admit a classical interpretation based on non-locality.
arXiv Detail & Related papers (2022-02-03T11:30:54Z)
Bernstein-Greene-Kruskal approach for the quantum Vlasov equation [91.3755431537592]
The one-dimensional stationary quantum Vlasov equation is analyzed using the energy as one of the dynamical variables. In the semiclassical case where quantum tunneling effects are small, an infinite series solution is developed.
arXiv Detail & Related papers (2021-02-18T20:55:04Z)
The role of boundary conditions in quantum computations of scattering observables [58.720142291102135]
Quantum computing may offer the opportunity to simulate strongly-interacting field theories, such as quantum chromodynamics, with physical time evolution. As with present-day calculations, quantum computation strategies still require the restriction to a finite system size. We quantify the volume effects for various $1+1$D Minkowski-signature quantities and show that these can be a significant source of systematic uncertainty.
arXiv Detail & Related papers (2020-07-01T17:43:11Z)

This list is automatically generated from the titles and abstracts of the papers in this site.