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The aim of this article is to study the noncontrollability of the heat equation with double singular potential at an interior point and on the boundary of the domain.

Analysis of PDEs · Mathematics 2021-12-23 Nikolai Kutev , Tsviatko Rangelov

Using numerical and analytical methods implemented for different models we conduct a systematic study of thermodynamic properties of pairing correlation in mesoscopic nuclear systems. Various quantities are calculated and analyzed using the…

Nuclear Theory · Physics 2008-11-26 Tony Sumaryada , Alexander Volya

Pairing effects manifests themselves in many aspects in nuclear systems ranging from finite nuclei to nuclear matter and compact stars. Although with some specific features for nuclear systems, the mechanism of pairing between nucleons in…

Nuclear Theory · Physics 2024-02-07 Xiang-Xiang Sun , Shan-Gui Zhou

We study the process of heat transfer through an entangled pair of two-level system, demonstrating the role of quantum correlations in this nonequilibrium process. While quantum correlations generally degrade with increasing the temperature…

Quantum Physics · Physics 2015-05-28 Lian-Ao Wu , Dvira Segal

Fluctuations of the amplitude of the order parameter govern the properties of superconducting systems close to the critical transition temperature. In the BCS regime we examine the contribution of these pairing fluctuations to the…

Statistical Mechanics · Physics 2009-11-10 Luciano Viverit , Georg M. Bruun , Anna Minguzzi , Rosario Fazio

We calculate finite temperature effects on a correlation function in the two dimensional supersymmetric nonlinear O(3) sigma model. The correlation function violates chiral symmetry and at zero temperature it has been shown to be a…

High Energy Physics - Theory · Physics 2009-10-31 J. Grundberg , J. Wirstam

The behavior of the spatial two-particle correlation function is surveyed in detail for a uniform 1D Bose gas with repulsive contact interactions at finite temperatures. Both long-, medium-, and short-range effects are investigated. The…

Other Condensed Matter · Physics 2015-05-13 P. Deuar , A. G. Sykes , D. M. Gangardt , M. J. Davis , P. D. Drummond , K. V. Kheruntsyan

It has long been understood that the inclusion of temperature in the perturbative treatment of quantum field theories leads to complications that are not present at zero temperature. In these proceedings we report on the non-perturbative…

High Energy Physics - Phenomenology · Physics 2025-02-21 Peter Lowdon , Owe Philipsen

The non-relativistic $G_0 G$ formalism of BCS-BEC crossover at finite temperature is extended to relativistic fermion systems. The uncondensed pairs contribute a pseudogap to the fermion excitations. The theory recovers the BCS mean field…

High Energy Physics - Phenomenology · Physics 2008-11-26 Lianyi He , Pengfei Zhuang

We analyze the consequences caused by an anomalous single-particle dispersion relation suggested in several quantum-gravity models, upon the thermodynamics of a Bose-Einstein condensate trapped in a generic 3-dimensional power-law…

Statistical Mechanics · Physics 2014-10-01 E. Castellanos , C. Laemmerzahl

By applying the particle-number projection to the finite-temperature BCS theory, the $S$-shaped heat capacity, which has recently been claimed to be a fingerprint of the superfluid-to-normal phase transition in nuclei, is reexamined. It is…

Nuclear Theory · Physics 2009-11-11 K. Esashika , H. Nakada , K. Tanabe

We discuss the general link between mode-coupling like equations (which serve as the basis of some recent theories of supercooled liquids) and the dynamical equations governing mean-field spin-glass models, or the dynamics of a particle in…

Condensed Matter · Physics 2015-06-25 Jean-Philippe Bouchaud , Leticia Cugliandolo , Jorge Kurchan , Marc Mézard

We investigate superconductivity in a grand canonical ensemble with {\it fixed number parity} (even or odd). In the low temperature limit we find small corrections to the BCS gap equation and energy spectrum $E(k)$. The even-odd free energy…

Condensed Matter · Physics 2009-10-22 Boldizsar Janko , Anders Smith , Vinay Ambegaokar

Two different theoretical formulations of the finite temperature effects have been recently proposed for integrable field theories. In order to decide which of them is the correct one, we perform for a particular model an explicit check of…

High Energy Physics - Theory · Physics 2008-11-26 Giuseppe Mussardo

By considering the effect of diffusion on the external electric field response of charge carriers in metals and semiconductors, it is shown that the finite temperature correction proposed Bostrom and Sernelius requires substantial…

Quantum Physics · Physics 2008-01-09 Steve K. Lamoreaux

We extend the program initiated in [T. Werlang et al., Phys. Rev. Lett. 105, 095702 (2010)] in several directions. Firstly, we investigate how useful quantum correlations, such as entanglement and quantum discord, are in the detection of…

Quantum Physics · Physics 2015-05-27 T. Werlang , G. A. P. Ribeiro , Gustavo Rigolin

Temperature of a finite-sized system fluctuates due to the thermal fluctuations. However, a systematic mathematical framework for measuring or estimating the temperature is still underdeveloped. Here, we incorporate the estimation theory in…

Statistical Mechanics · Physics 2026-03-17 Shaoyong Zhang , Zhaoyu Fei , Xiaoguang Wang

The properties of a Bose gas of translation-invariant (TI) bipolarons analogous to Cooper pairs are considered. As in the BCS theory, the description of a TI-bipolaron gas is based on the electron-phonon interaction and Froehlich…

Superconductivity · Physics 2019-03-19 Victor Lakhno

A well-known difficulty of perturbative approaches to quantum field theory at finite temperature is the necessity to address theoretical constraints that are not present in the vacuum theory. In this work, we use lattice simulations of…

High Energy Physics - Phenomenology · Physics 2024-08-30 Peter Lowdon , Owe Philipsen

We study the finite temperature $T$ behavior of trapped Fermi gases as they undergo BCS-Bose Einstein condensation (BEC) crossover, in the presence of a population imbalance. Our results, in qualitative agreement with recent experiments,…

Strongly Correlated Electrons · Physics 2011-09-13 Chih-Chun Chien , Qijin Chen , Yan He , K. Levin