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This paper proposes a method to compute crossfields based on the Ginzburg-Landau theory. The Ginzburg-Landau functional has two terms: the Dirichlet energy of the distribution and a term penalizing the mismatch between the fixed and actual…

Synthetic dimension platforms offer unique pathways for engineering quantum matter. We compute the phase diagram of a many-body system of ultracold atoms (or polar molecules) with a set of Rydberg states (or rotational states) as a…

The ground state of the square lattice bilayer quantum antiferromagnet with nearest ($J_1$) and next-nearest ($J_2$) neighbour intralayer interaction is studied by means of the dimer expansion method up to the 6-th order in the interlayer…

强关联电子 · 物理学 2009-10-30 Kazuo Hida

We explore the influence of dissipation on a paradigmatic driven-dissipative model where a collection of two level atoms interact with both quadratures of a quantum cavity mode. The closed system exhibits multiple phase transitions…

量子气体 · 物理学 2018-09-18 Matteo Soriente , Tobias Donner , R. Chitra , Oded Zilberberg

We investigate the thermodynamics of a combined Dicke- and Ising-model which exhibits a rich phenomenology arising from the second order and quantum phase transitions from the respective models. The partition function is calculated using…

量子物理 · 物理学 2012-02-27 Søren Gammelmark , Klaus Mølmer

Criticality of chiral phase transition at finite temperature is investigated in a soft-wall AdS/QCD model with $SU_L(N_f)\times SU_R(N_f)$ symmetry, especially for $N_f=2,3$ and $N_f=2+1$. It is shown that in quark mass plane($m_{u/d}-m_s$)…

高能物理 - 唯象学 · 物理学 2019-02-20 Jianwei Chen , Song He , Mei Huang , Danning Li

In this article, a theoretical description of the "ideal glass transition" is approached upon the adoption of a quaternion orientational order parameter. Unlike first-order phase transitions of liquids into crystalline solid states, glass…

无序系统与神经网络 · 物理学 2020-06-25 Caroline S. Gorham , David E. Laughlin

We study the critical dynamics of crystals which undergo a second-order phase transition from a high-temperature normal phase to a structurally incommensurate (IC) modulated phase. We give a comprehensive description of the critical…

统计力学 · 物理学 2009-10-31 Bernhard A. Kaufmann , Franz Schwabl , Uwe C. T"auber

We consider the Dirac Operator acting on the Clifford Algebra ${C\ell}_{m}$. We show that under critical assumptions on the potential and the spinor field the equation is subject to an integrability by compensation phenomenon and has a…

偏微分方程分析 · 数学 2021-08-24 Francesca Da Lio , Tristan Rivière , Jerome Wettstein

Theory of classical critical phenomena of Mott transition is developed for the dimensionality $d \le \infty$. Reconsidering a cluster dynamical mean-field theory (DMFT), Ginzburg-Landau free energy is derived in terms of hybridization…

强关联电子 · 物理学 2007-05-23 Shigeki Onoda

We propose a model for two $(d+1)$-dimensional directed polymers subjected to a mutual $\delta$-function interaction with a random coupling constant, and present an exact renormalization group study for this system. The exact…

凝聚态物理 · 物理学 2009-10-22 Sutapa Mukherji , Somendra M. Bhattacharjee

In this paper, we are concerned with divergence form, higher-order parabolic systems in a cylindrical domain with a finite number of subdomains. We establish $L_\infty$ and Schauder estimates of solutions when the leading coefficients and…

偏微分方程分析 · 数学 2024-07-26 Hongjie Dong , Haigang Li , Longjuan Xu

We generalize the Griesmer bound in the case of systematic codes over a field of size q greater than the distance d of the code. We also generalize the Griesmer bound in the case of any systematic code of distance 2,3,4 and in the case of…

信息论 · 计算机科学 2013-10-16 Emanuele Bellini

There has been much interest in developing phase estimation schemes which beat the so-called Heisenberg limit, i.e., for which the phase resolution scales better than 1/n, where n is a measure of resources such as the average photon number…

量子物理 · 物理学 2013-07-11 Michael J. W. Hall

We study the S=1/2 quantum spin ladder system with the four-spin exchange, using density matrix renormalization group method and an exact diagonalization method. Recently, the phase transition in this system and its universality class are…

统计力学 · 物理学 2009-11-10 Keigo Hijii , Shaojin Qin , Kiyohide Nomura

We obtain the phase diagram for the Blume-Capel model with bimodal distribution for random crystal fields, in the space of three fields: temperature, crystal field and magnetic field. We find that three critical lines meet at a tricritical…

统计力学 · 物理学 2020-05-06 Sumedha , Soheli Mukherjee

We study electron correlation effects on quantum criticalities of Lifshitz transitions at zero temperature, using the mean-field theory based on a preexisting symmetry-broken order, in two-dimensional systems. In the presence of…

强关联电子 · 物理学 2007-05-23 Youhei Yamaji , Takahiro Misawa , Masatoshi Imada

Material functionality can be strongly determined by structure extending only over nanoscale distances. The pair distribution function presents an opportunity to shift structural studies beyond idealized crystal models and investigate…

The Euler Poisson equations describe important physical phenomena in many applications such as semiconductor modeling and plasma physics. This paper is to advance our understanding of critical threshold phenomena in such systems in the…

偏微分方程分析 · 数学 2020-10-28 Manas Bhatnagar , Hailiang Liu

Berry phases and the quantum-information theoretic notion of fidelity have been recently used to analyze quantum phase transitions from a geometrical perspective. In this paper we unify these two approaches showing that the underlying…

量子物理 · 物理学 2007-12-10 Lorenzo Campos Venuti , Paolo Zanardi
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