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Showing 1 to 8 of 8 for “"Second Quantization"”.
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Casimir-Polder interaction in second quantization
… BECs. Tools and methods are developed in a second-quantized picture that treats atom and photon fields on the same footing. We formulate a diagrammatic expansion using correlation functions for both the electromagnetic field and the atomic system. The formalism is applied to investigate, for …
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Ricci Curvature of Noncommutative Three Tori, Entropy, and Second Quantization
… noncommutative tori, we explicitly compute the second density of the heat trace expansion for the perturbed Laplacians on both functions and $1-$forms. On the other hand, in noncommutative geometry one also wants to get a good notion of an action functional which depends only on the spectrum of …
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Operator algebra perspectives on interacting quantum systems
… has a well-established solution - namely, the second quantization (or the Gaussian functor). However, it seems difficult for the second quantization to go beyond generalized free field constructions without the help of perturbation theory. The second quantization takes real Hilbert spaces as …
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A quantum top in a Casimir-induced quadrupole field
… in energy of a configuration of objects due to second quantization of the electromagnetic field. The Casimir energy of a dielectric object inside a perfectly conducting sphere was recently analyzed [1]. Building on this result, I calculate the changes in energy levels of a quantum top inside a …
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Resistivity anomalies for ferromagnetic metals at Curie points
… anomalies is related to phase transitions of second kind. Current theory describing these anomalies is based on the localized model of the magnetic electrons in ferromagnetic metals. There is an ansatz in solid state physics that if the magneto-resistance can be explained by the realistic …
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Automated Implementation of Advanced Electronic Structure Methods
… of theories in the natural language of second quantization. It automates the transformation of high-level theoretical ansatzes into explicit tensor contraction expressions and subsequently generates optimized, high-performance C++ code. A central innovation of this work is the extension …
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Diagrammatic theories for the vibrational many-body problem
… tools (the rules of normal-ordered second quantization and Feynman--Goldstone diagrams) for deriving their working equations are established. The equations of XVCC and EOM-XVCC are derived and implemented with the aid of computer algebra. Algorithm optimizations known as strength …
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The multi Davydov-Ansatz
… reformulate the effective mode representation in second quantization, removing inadvertent double excitations introduced by the original formulation. We show that the alternative representation is beneficial in cases where the bath spectral density is highly structured, while for the ohmic and …