| Download | - View accepted manuscript: Density-functional theory, finite-temperature classical maps, and their implications for foundational studies of quantum systems (PDF, 630 KiB)
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| DOI | Resolve DOI: https://doi.org/10.1088/1742-6596/442/1/012030 |
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| Author | Search for: Dharma-Wardana, M. W. C.1 |
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| Affiliation | - National Research Council of Canada. Security and Disruptive Technologies
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| Format | Text, Article |
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| Conference | 6th International Workshop on Decoherence, Information, Complexity and Entropy: Spacetime - Matter - Quantum Mechanics - From the Planck Scale to Emergent Phenomena, DICE 2012, September 17-21, 2012, Castiglioncello, Tuscany, Italy |
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| Subject | De Broglie wavelength; Decoherence models; Density distributions; Hohenberg-Kohn theorem; Local correlations; Macroscopic systems; Pair distribution functions; Pauli exclusion effects; Density functional theory; Quantum electronics; Quantum optics |
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| Abstract | The advent of the Hohenberg-Kohn theorem in 1964, its extension to finite-T, Kohn-Sham theory, and relativistic extensions provide the well-established formalism of density-functional theory (DFT). This theory enables the calculation of all static properties of quantum systems without the need for an n-body wavefunction ψ. DFT uses the one-body density distribution instead of ψ. The more recent time-dependent formulations of DFT attempt to describe the time evolution of quantum systems without using the time-dependent wavefunction. Although DFT has become the standard tool of condensed-matter computational quantum mechanics, its foundational implications have remained largely unexplored. While all systems require quantum mechanics (QM) at T=0, the pair-distribution functions (PDFs) of such quantum systems have been accurately mapped into classical models at effective finite-T, and using suitable non-local quantum potentials (e.g., to mimic Pauli exclusion effects). These approaches shed light on the quantum → hybrid → classical models, and provide a new way of looking at the existence of non- local correlations without appealing to Bell's theorem. They also provide insights regarding Bohmian mechanics. Furthermore, macroscopic systems even at 1 Kelvin have de Broglie wavelengths in the micro-femtometer range, thereby eliminating macroscopic cat states, and avoiding the need for ad hoc decoherence models. |
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| Publication date | 2013 |
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| In | |
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| Language | English |
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| Peer reviewed | Yes |
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| NPARC number | 21270514 |
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| Export citation | Export as RIS |
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| Report a correction | Report a correction (opens in a new tab) |
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| Record identifier | c3c20ad8-2112-41a6-9095-41bee10f006a |
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| Record created | 2014-02-14 |
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| Record modified | 2020-06-04 |
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