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We consider a nematic liquid crystal occupying the three-dimensional domain in the exterior of a spherical colloid particle. The nematic is subject to Dirichlet boundary conditions that enforce orthogonal attachment of nematic molecules to…

Analysis of PDEs · Mathematics 2020-04-13 Stan Alama , Lia Bronsard , Dmitry Golovaty , Xavier Lamy

The finite-temperature one-loop effective potential for a scalar field in the static de Sitter space-time is obtained. Within this framework, by using zeta-function regularization, one can get, in the conformally invariant case, the…

High Energy Physics - Theory · Physics 2009-10-22 D. V. Fursaev , G. Miele

We describe a new class of exact square integrable solutions of the Pauli and Dirac equation in rotating electromagnetic fields. Solutions obtained by putting equations in the stationary form with help of a coordinate transformation…

Mathematical Physics · Physics 2011-06-03 B. V. Gisin

The paper considers the general case of incompressible non-classical elasticity with small deformations and rotations. The thermodynamic stability is analysed for free energy density with three rotational degrees of freedom. Although the…

Condensed Matter · Physics 2016-11-25 A. I. Leonov , V. S. Volkov

We consider electron-electron interaction effects in quantum point contacts on the first quantization plateau, taking into account all scattering processes. We compute the low-temperature linear and nonlinear conductance, shot noise, and…

Mesoscale and Nanoscale Physics · Physics 2009-02-27 A. M. Lunde , A. De Martino , A. Schulz , R. Egger , K. Flensberg

Sudden changes of quantum correlations in the Bell-diagonal states are well-known effects. They occur when the set of optimal parameters that determine the quantum correlation consists of isolated points and optimal parameters during the…

Quantum Physics · Physics 2022-02-17 Mikhail A. Yurischev

Here, we study a quantum fermion field in rigid rotation at finite temperature on anti-de Sitter space. We assume that the rotation rate $\Omega$ is smaller than the inverse radius of curvature $\ell ^{-1}$, so that there is no speed of…

High Energy Physics - Theory · Physics 2022-02-16 Victor E. Ambrus , Elizabeth Winstanley

We present our numerical study on quantum thermodynamics of the resonant level model subjected to non-equilibrium condition as well as external driving. Following our previous work on non-equilibrium quantum thermodynamics (Phys. Rev. B…

Statistical Mechanics · Physics 2022-11-09 Kaiyi Tong , Wenjie Dou

The treatment of a quantized field in a curved spacetime requires the study of backreaction of the field on the spacetime via the semiclassical Einstein equation. We consider a free scalar field in spatially flat Robertson-Walker space…

Mathematical Physics · Physics 2011-07-14 Benjamin Eltzner , Hanno Gottschalk

We address the problem of thermodynamic equilibrium with constant acceleration along the velocity field lines in a quantum relativistic statistical mechanics framework. We show that for a free scalar quantum field, after vacuum subtraction,…

General Relativity and Quantum Cosmology · Physics 2018-04-25 F. Becattini

This article is devoted to the long-time dynamics of point-vortex type systems near thermal equilibrium and to the possible emergence of collisional relaxation. More precisely, we consider a tagged particle coupled to a large number of…

Analysis of PDEs · Mathematics 2025-10-15 Mitia Duerinckx , Pierre-Emmanuel Jabin

We investigate the dynamics of a 2-level atom (or spin-1/2) coupled to a mass-less bosonic field at positive temperature. We prove that, at small coupling, the combined quantum system approaches thermal equilibrium. Moreover we establish…

adap-org · Physics 2008-02-03 V. Jaksic , C. -A. Pillet

While the properties of the Kondo model in equilibrium are very well understood, much less is known for Kondo systems out of equilibrium. We study the properties of a quantum dot in the Kondo regime, when a large bias voltage V and/or a…

Strongly Correlated Electrons · Physics 2009-11-10 A. Rosch , J. Paaske , J. Kroha , P. Wölfle

In general, classical fully-connected systems are known to undergo violent relaxation. This phenomenon refers to the relaxation of observables to stationary, non-thermal, values on a finite timescale, despite their long-time dynamics being…

Quantum Physics · Physics 2025-06-17 Guido Giachetti , Nicolò Defenu

In this paper we analyze the expectation value of the field squared and the energy-momentum tensor associated with a massive charged scalar quantum field with a nonzero chemical potential propagating in a high-dimensional compactified…

High Energy Physics - Theory · Physics 2023-02-21 W. Oliveira dos Santos , E. R. Bezerra de Mello

The pseudo-PT symmetric Dirac equation is proposed and analyzed by using a non-unitary Foldy-Wouthuysen transformations. A new spin operator PT symmetric expectation value (called the mean spin operator) for an electron interacting with a…

Quantum Physics · Physics 2022-10-26 Y. Bouguerra , S. Mehani , K. Bechane , M. Maamache , P. -A. Hervieux

We calculate the transition rate of an Unruh-DeWitt detector coupled to a non-equilibrium steady state (NESS) of a free massless scalar field on four-dimensional Minkowski spacetime. Bringing two semi-infinite heat baths at different…

High Energy Physics - Theory · Physics 2025-09-29 Albert Georg Passegger , Rainer Verch

The Lindblad equation, as one approach to open quantum systems, describes the density matrix of a particle or a chain of interacting particles, which are in contact with a thermal bath. Still, it is not fully understood yet, how arbitrary…

Nuclear Theory · Physics 2025-03-13 Jan Rais , Hendrik van Hees , Carsten Greiner

A relativistic quantum mechanical model to describe the quantum FEL dynamics has been developed. Neglecting the spin of electrons in the impacting beam, this model is based on the Klein-Gordon equation coupled to the Poisson equation for…

Plasma Physics · Physics 2023-10-20 Stephan I. Tzenov , Zhichu Chen

We analyze the Lagrangian density and canonical stress-energy tensor for the Dirac equation, where the Dirac bispinor has been recast as a multivector set of fields. For the massless Dirac field, the sign of the energy density is determined…

General Physics · Physics 2020-01-31 Anastasios Y. Papaioannou
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