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Current status of theoretical researches on the QCD phase diagram at finite temperature and baryon chemical potential is reviewed with special emphasis on the origin of various phases and their symmetry breaking patterns. Topics include;…

High Energy Physics - Phenomenology · Physics 2015-03-17 Kenji Fukushima , Tetsuo Hatsuda

The Cahn--Hilliard equation is a widely used model that describes amongst others phase separation processes of binary mixtures or two-phase flows. In the recent years, different types of boundary conditions for the Cahn--Hilliard equation…

Numerical Analysis · Mathematics 2021-03-04 Stefan Metzger

Quantum phase estimation (QPE) is the key subroutine of several quantum computing algorithms as well as a central ingredient in quantum computational chemistry and quantum simulation. While QPE strategies have focused on the estimation of a…

Quantum Physics · Physics 2021-07-26 Valentin Gebhart , Augusto Smerzi , Luca Pezzè

In this paper we describe physical properties arising in the vicinity of two coupled quantum phase transitions. We consider a phenomenological model based on two scalar order parameter fields locally coupled biquadratically and having a…

Strongly Correlated Electrons · Physics 2017-12-05 Corentin Morice , Premala Chandra , Stephen E. Rowley , Gilbert Lonzarich , Siddharth S. Saxena

The quadratic phase Fourier transform has gained much popularity in recent years because of its applications in image and signal processing. However, the QPFT is inadequate for localizing the quadratic phase spectrum which is required in…

Signal Processing · Electrical Eng. & Systems 2022-03-01 Mohd Younus Bhat , Aamir Hamid Dar , Didar Urynbassarova , Altyn Urynbassarova

We study the density of states method to explore the phase diagram of the chiral transition on the tempeature and quark chemical potential plane. Four quark flavours are used in the analysis. Though the method is quite expensive small…

High Energy Physics - Lattice · Physics 2009-09-29 Christian Schmidt , Zoltan Fodor , Sandor Katz

Quantum machine learning (QML) seeks to exploit the intrinsic properties of quantum mechanical systems, including superposition, coherence, and quantum entanglement for classical data processing. However, due to the exponential growth of…

Quantum Physics · Physics 2025-10-09 Timothy Heightman , Edward Jiang , Ruth Mora-Soto , Maciej Lewenstein , Marcin Płodzień

The deconfinement phase transition from hadronic matter to quark matter in the interior of compact stars is investigated. The hadronic phase is described in the framework of relativistic mean-field (RMF) theory, when also the scalar-…

Nuclear Theory · Physics 2009-07-24 G. B. Alaverdyan

To various kinds of quadratic functors, homotopy types of two stage spaces are assigned. It is investigated what kind of homotopy types are obtainable in this way.

Algebraic Topology · Mathematics 2007-05-23 H. -J. Baues , T. Pirashvili

This is a companion paper of [Mixed equilibrium solution of time-inconsistent stochastic LQ problem, arXiv:1802.03032], where general theory has been established to characterize the open-loop equilibrium control, feedback equilibrium…

Optimization and Control · Mathematics 2018-03-26 Yuan-Hua Ni , Xun Li , Ji-Feng Zhang , Miroslav Krstic

The windowed quadratic phase Fourier transform (WQPFT) combines the localization capabilities of windowed transforms with the phase modulation structure of the quadratic phase Fourier transform (QPFT). This paper investigates fundamental…

Functional Analysis · Mathematics 2025-07-09 Sarga Varghese , Manab Kundu

In this paper, a two-phase quasi-Newton scheme is proposed for solving an unconstrained optimization problem. The global convergence property of the scheme is provided under mild assumptions. The superlinear rate of the scheme is also…

Optimization and Control · Mathematics 2020-11-16 Suvra Kanti Chakraborty , Geetanjali Panda

This paper is devoted to the robust approximation with a variational phase field approach of multiphase mean curvature flows with possibly highly contrasted mobilities. The case of harmonically additive mobilities has been addressed…

Numerical Analysis · Mathematics 2022-09-20 Eric Bonnetier , Elie Bretin , Simon Masnou

Quantum key distribution(QKD) allows two remote parties to share information-theoretic secret keys. Many QKD protocols assume the phase of encoding state can be continuous randomized from 0 to 2 pi, which, however, may be questionable in…

Quantum Physics · Physics 2023-02-15 Rui Qiang Wang , Zhen Qiang yin , Rong Wang , Shuang Wang , Wei Chen , Guang can Guo , Zhen fu Han

A novel addition to the family of integral transforms, the quadratic phase Fourier transform (QPFT) embodies a variety of signal processing tools, including the Fourier transform (FT), fractional Fourier transform (FRFT), linear canonical…

Functional Analysis · Mathematics 2024-02-20 Aamir Hamid Dar

A method is presented for numerical implementation of the extended TDHF theory in which two-body correlations beyond the mean-field approximation are incorporated in the form of a quantal collision term. The method is tested in a model…

Nuclear Theory · Physics 2007-05-23 D. Lacroix , Ph. Chomaz , S. Ayik

This article is a follow up of our submitted paper [11] in which a decomposition of the Richards equation along two soil layers was discussed. A decomposed problem was formulated and a decoupling and linearisation technique was presented to…

Numerical Analysis · Mathematics 2017-12-14 David Seus , Florin A. Radu , Christian Rohde

An operator-valued quantum phase space formula is constructed. The phase space formula of Quantum Mechanics provides a natural link between first and second quantization, thus contributing to the understanding of quantization problem. By…

Mathematical Physics · Physics 2017-03-16 Dong-Sheng Wang

Quality diversity~(QD) is a branch of evolutionary computation that gained increasing interest in recent years. The Map-Elites QD approach defines a feature space, i.e., a partition of the search space, and stores the best solution for each…

Neural and Evolutionary Computing · Computer Science 2023-07-06 Jakob Bossek , Dirk Sudholt

In this article, an advanced differential quadrature (DQ) approach is proposed for the high-dimensional multi-term time-space-fractional partial differential equations (TSFPDEs) on convex domains. Firstly, a family of high-order difference…

Numerical Analysis · Mathematics 2021-01-28 Xiaogang Zhu , Yufeng Nie , Jungang Wang , Zhanbin Yuan