Introduction: A New Instrument of Science?

Hangleiter, Dominik; Carolan, Jacques; Thébault, Karim P. Y.

doi:10.1007/978-3-030-87216-8_1

Cited by 4 publications

(6 citation statements)

References 314 publications

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“…Mdzinarishvili [18], S.D. Bass & E. Zohar [19], D. Hangleiter [20]. The use of these analogue models allowed involving in the process of target modelling the recognised physical-theoretical and physical-empirical formulations and dependencies, based on the results of integration of which the corresponding first-iterative calculations were performed.…”

Section: Methodsmentioning

confidence: 99%

Electron modelling in conjunction witch vacuum modelling

Pavliuk¹

2022

Scientific Herald of Uzhhorod University Series Physics

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Relevance. The relevance of the study and the corresponding results is based on the need for digital transfer of scientific physical and mathematical devices for modelling the studied objects and phenomena of the real world into a digital programme environment, which forms a powerful research tool with the possibility of multi-reading and multi-vector calculation and forecasting of the nature and qualities of simulated elements of the physical world with a different scientifically based configuration of the initial data. The quality and reliability of digital models depend on the quality and completeness of consideration of various physical aspects in the simulated research objects and phenomena. Therefore, it is appropriate and relevant to formulate the initial iteration of digital transfer – the creation of a dependence-correlation apparatus. The second aspect that confirms the relevance of the current study is the fact that there is no integral model of the electron: currently, the world scientific community knows models describing individual characteristics and elements of the studied elementary particle, but there are no models describing the electron as an integral object. Purpose. The purpose of the study is to develop a model of an electron associated with a simulated vacuum using appropriate analogue models from recognised fundamental studies. Methodology. The study uses the methods of analogue Dirac models, spinor field models, the six-dimensional space-time model of the Bartini world, and the Planck oscillator model. Results. Based on the results of experiments and physical and mathematical transformations in the current study, by integrating elements of the Ehrenfest paradox theory into the above models and basic elements of physical science, a complete model of the electron was formulated, which not only received a description of spatial and energy characteristics, but also allowed assessing the oetiological and morphological features of the development of the elementary particle, and individual physical and correlation dependencies were established. Conclusions. First, the Hubble constant is necessary as a vacuum parameter in modelling elementary particles; second, the Hubble constant is included in the equation of the classical electron radius; and third, based on model calculations, the hypothesis of differences between the electron, muon, and tauon is proposed

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Section: Methodsmentioning

confidence: 99%

Electron modelling in conjunction witch vacuum modelling

Pavliuk¹

2022

Scientific Herald of Uzhhorod University Series Physics

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“…For both of these cases, there are many possible physical platforms. See [28] for good discussions on the framework of analogue quantum simulation.…”

Section: Physical Platformsmentioning

confidence: 99%

Analog quantum simulation of partial differential equations

Jin,

Liu

2024

Quantum Sci. Technol.

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Quantum simulators were originally proposed for simulating one partial differential equation in particular -- Schrodinger's equation. Can quantum simulators also efficiently simulate other partial differential equations? While most computational methods for partial differential equations -- both classical and quantum -- are digital (they must be discretised first), partial differential equations have continuous degrees of freedom. This suggests that an analog representation can be more natural. While digital quantum degrees of freedom are usually described by qubits, the analog or continuous quantum degrees of freedom can be captured by qumodes. Based on a method called Schrodingerisation, we show how to directly map D-dimensional linear partial differential equations onto a (D+1)-qumode quantum system where analog or continuous-variable Hamiltonian simulation on D+1 qumodes can be used. This very simple methodology does not require one to discretise partial differential equations first, and it is not only applicable to linear partial differential equations but also to some nonlinear partial differential equations and systems of nonlinear ordinary differential equations. We show some examples using this method, including the Liouville equation, heat equation, Fokker-Planck equation, Black-Scholes equations, wave equation and Maxwell's equations. We also devise new protocols for linear partial differential equations with random coefficients, important in uncertainty quantification, where it is clear how the analog or continuous-variable framework is most natural. This also raises the possibility that some partial differential equations may be simulated directly on analog quantum systems by using Hamiltonians natural for those quantum systems.

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“…Successful analogue quantum simulation requires that the source and target system models be deidealizations of a single theoretical model in some appropriate regime of idealization (Hangleiter, Carolan, and Thébault 2022). The key to the simulation is that the source system can be controlled more easily than the target system, and so an experiment on the source system can probe elements of the target system that are experimentally inaccessible, given that the idealized model is appropriately verified.…”

Section: A Case Study Of Analogue Quantum Simulation: Bose-hubbard Ph...mentioning

confidence: 99%

“…This system is accurately described by the Bose–Hubbard Hamiltonian (Jaksch et al 1998) in a parameter regime where (1) next-nearest-neighbor hopping and nearest-neighbor repulsion are negligible, (2) the spatial extent of the wavefunction of each oscillator ground state matches the dimensions of the lattice wells, and (3) the on-site interaction strength is sufficiently small for the number of particles per site. Importantly, all the model parameters can be manipulated by varying an external magnetic field and the amplitude and phase of the lasers generating the lattice potential (Hangleiter, Carolan, and Thébault 2022, 33). Thus the zero-temperature phase transition of the system can be controlled.…”

Section: A Case Study Of Analogue Quantum Simulation: Bose–hubbard Ph...mentioning

confidence: 99%

“…The potential implications of such quantum technology are powerful, wide ranging, and radical. In this article, our focus is on the particular context of analogue quantum simulation in which a well-controlled quantum system in the lab is specifically deployed by scientists to learn about features of another quantum system to which they do not have direct access (Dardashti, Thébault, and Winsberg 2017;Dardashti et al 2019;Thébault 2019;Crowther, Linnemann, and Wüthrich 2019;Evans and Thébault 2020;Hangleiter, Carolan, and Thébault 2022;Field forthcoming;Bartha 2022).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

How to Engineer a Quantum Wavefunction

Evans¹,

Thébault²

2023

Philos. sci.

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In a conventional experiment, scientists typically aim to learn about target systems by manipulating source systems of the same material type. In an analogue quantum simulation, by contrast, scientists typically aim to learn about target quantum systems of one material type via an experiment on a source quantum system of a different material type. In this paper, weargue that such inferences can be justified by reference to source and target quantum systems being of the same empirical type.We illustrate this novel experimental practice of wavefunction engineering with reference to the example of Bose-Hubbard systems.

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Introduction: A New Instrument of Science?

Cited by 4 publications

References 314 publications

Electron modelling in conjunction witch vacuum modelling

Electron modelling in conjunction witch vacuum modelling

Analog quantum simulation of partial differential equations

How to Engineer a Quantum Wavefunction

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