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In this paper, we examine the thermodynamic behavior of a quantum harmonic oscillator with a position-dependent mass (PDM), where spatial inhomogeneity is modeled through a deformation parameter {\alpha}. Based on the exact energy spectrum,…

Quantum Physics · Physics 2025-05-23 Daniel Sabi Takou , Assimiou Yarou Mora , Gabriel Y. H. Avossevou

The thermodynamical properties of a quantized electromagnetic field inside a box with perfectly conducting walls are studied using a regularization scheme that permits to obtain finite expressions for the thermodynamic potentials. The…

Quantum Physics · Physics 2007-05-23 R. Jauregui , C. Villarreal , S. Hacyan

Understanding electron localization in molecules and materials plays a central role in electronic structure theory, and will increase in importance with the rise of data-driven approaches. The electron localization function (ELF) is widely…

Materials Science · Physics 2026-05-29 Stefano Pittalis , Filippo Troiani , Celestino Angeli , Irene D'Amico , Tim Gould

We study electron localization in disordered quantum systems, focusing on both individual eigenstates and thermal states. We employ complex polarization as a numerical indicator to characterize the system's localization length. Furthermore,…

Disordered Systems and Neural Networks · Physics 2024-04-30 Chong Sun

Effective Field Theory(EFT) is, the unique, model independent and systematic low-energy version of QCD for processes involving momenta below the pion mass. A low-energy photo-nuclear observable in three-body systems, photon polarization…

Nuclear Theory · Physics 2008-11-26 H. Sadeghi

We develop a thermodynamical theory to describe the behavior of the entanglement between a single two-level atom with a single mode of the electromagnetic field. The resonant Jaynes-Cummings model is used to study both the entanglement…

Quantum Physics · Physics 2015-07-03 Alejandro Romanelli , Raul Donangelo , Andrés Vallejo

Time-dependent (current) density functional theory for many-electron systems strongly coupled to quantized electromagnetic modes of a microcavity is proposed. It is shown that the electron-photon wave function is a unique functional of the…

Mesoscale and Nanoscale Physics · Physics 2013-12-10 I. V. Tokatly

The thermal partition function of photons in any covariant gauge and gravitons in the harmonic gauge, propagating in a Rindler wedge, are computed using a local $\zeta$-function regularization approach. The correct Planckian leading order…

High Energy Physics - Theory · Physics 2014-11-18 Devis Iellici , Valter Moretti

Inspired by the formulation of quantum-electrodynamical time-dependent density functional theory (QED-TDDFT) by Rubio and coworkers, we propose an implementation that uses dimensionless amplitudes for describing the photonic contributions…

Materials Science · Physics 2021-08-20 Junjie Yang , Qi Ou , Zheng Pei , Hua Wang , Binbin Weng , Kieran Mullen , Yihan Shao

The questions of whether a photon can be localized in an arbitrarily small volume and what is the allowable strength of that localization (the decrease with distance of the functional form) are questions of current interest. We propose a…

Quantum Physics · Physics 2020-04-22 Scott E. Hoffmann

A quantum electrodynamical time-dependent density functional theory framework is applied to describe strongly coupled light--matter interactions in cavity environments. The formalism utilizes a tensor product approach, coupling real-space…

Chemical Physics · Physics 2025-11-27 Yetmgeta Aklilu , Matthew Shepherd , Cody L. Covington , Kalman Varga

In the present work the role that a generalized uncertainty principle could play in the quantization of the electromagnetic field is analyzed. It will be shown that we may speak of a Fock space, a result that implies that the concept of…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Abel Camacho

We calculate the magnetic-field and temperature dependence of all quantum corrections to the ensemble-averaged conductance of a network of quantum dots. We consider the limit that the dimensionless conductance of the network is large, so…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Joern N. Kupferschmidt , Piet W. Brouwer

In this work, we investigate the photoionization cross-section of an electron confined in a quantum dot, considering the position-dependent variation of the effective mass through the parameter $\gamma$. We used a theoretical model based on…

We study the nonequilibrium dynamics of photoinduced phase transitions in charge ordered (CO) systems with a strong electron-lattice interaction and analyze the interplay between electrons, periodic lattice distortions, and a phonon thermal…

Strongly Correlated Electrons · Physics 2018-03-22 Linghua Zhu , Tsezar F. Seman , Michel van Veenendaal , Keun Hyuk Ahn

We consider the quantum field theory for a scalar model of the electromagnetic field interacting with a system of two-level atoms. In this setting, we show that it is possible to uniquely determine the density of atoms from measurements of…

Analysis of PDEs · Mathematics 2026-02-03 Matti Lassas , Medet Nursultanov , Lauri Oksanen , John C. Schotland

Manipulating energy levels while controlling the electron localization is an essential step for many applications of confined systems. In this paper we demonstrate how to achieve electron localization and induce energy level oscillation in…

Mesoscale and Nanoscale Physics · Physics 2015-05-25 Fahhad H. Alharbi , Pablo Serra , Marcelo Carignano , Sabre Kais

It had been a long standing problem that there is no consistent definition of photon position operator nor photon number density in the context of quantum theory. In this paper we derive the photon detection operator, which defines location…

Quantum Physics · Physics 2014-11-05 Shogo Tanimura

We theoretically investigate photo-thermoelectric transport through a quantum wire in a photon cavity coupled to electron reservoirs with different temperatures. Our approach, based on a quantum master equation, allows us to investigate the…

Mesoscale and Nanoscale Physics · Physics 2017-12-29 Nzar Rauf Abdullah , Chi-Shung Tang , Andrei Manolescu , Vidar Gudmundsson

Quantum-electrodynamical density-functional theory (QEDFT) provides a first-principles framework for describing materials coupled to quantized electromagnetic fields. While QEDFT has successfully captured cavity-induced modifications of…

Materials Science · Physics 2026-03-26 Benshu Fan , I-Te Lu , Michael Ruggenthaler , Angel Rubio