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The complex zeros of the Riemannn zeta-function are identical to the zeros of the Riemann xi-function, $\xi(s)$. Thus, if the Riemann Hypothesis is true for the zeta-function, it is true for $\xi(s)$. Since $\xi(s)$ is entire, the zeros of…

数论 · 数学 2008-03-05 David W. Farmer , Steven M. Gonek

When measuring quantum spins at two or more different times, the later measurements are affected by measurement backaction occurring due to the earlier measurements. This makes the measurement of temporal quantum correlation functions…

量子物理 · 物理学 2020-08-19 Michael Kastner

We study the zeros in the complex plane of the partition function for the Ising model coupled to $2d$ quantum gravity for complex magnetic field and for complex temperature. We compute the zeros by using the exact solution coming from a two…

高能物理 - 格点 · 物理学 2009-10-30 J. Ambjørn , K. N. Anagnostopoulos , U. Magnea

The partition function for two-dimensional nearest neighbour Ising models in the presence of a magnetic field is derived . A comparison with the partition functions predicted by Onsager is carried out. The critical temperature estimated by…

化学物理 · 物理学 2007-06-28 G. Nandhini , M. V. Sangaranarayanan

We present a new method for calculating the Yang-Lee partition function zeros of a translationally invariant model of lattice fermions, exemplified by the Hubbard model. The method rests on a theorem involving the single electron…

统计力学 · 物理学 2026-01-14 B Sriram Shastry

Equilibrium systems which exhibit a phase transition can be studied by investigating the complex zeros of the partition function. This method, pioneered by Yang and Lee, has been widely used in equilibrium statistical physics. We show that…

统计力学 · 物理学 2009-11-07 Stephan M Dammer , Silvio R Dahmen , Haye Hinrichsen

Recently we calculated the contribution of Leutwyler zero mode chromons to the Yang-Mills effective Lagrangian by integrating over collective coordinates of the nonlinearly interacting zero modes. Here we analyse the behaviour of the…

高能物理 - 理论 · 物理学 2023-07-12 George Savvidy

Correlation functions of the composite field $T\bar{T}$ in the scaling Lee--Yang model are studied. Using the analytic expression for form factors of this operator recently proposed by Delfino and Niccoli \cite{DN}, we show numerically that…

高能物理 - 理论 · 物理学 2009-11-11 V. A. Belavin , O. V. Miroshnichenko

The existing theory of the microscopic interpretation of the dynamical contribution to zero-field muon depolarization spectra in a longitudinal geometry is developed. The predicted relaxation of the muon depolarization is calculated from…

材料科学 · 物理学 2009-11-11 C. A. Steer

We investigate the distribution of zeros of the partition function of the two- and three-dimensional symmetric $\pm J$ Ising spin glasses on the complex field plane. We use the method to analytically implement the idea of numerical transfer…

无序系统与神经网络 · 物理学 2008-08-04 Yoshiki Matsuda , Hidetoshi Nishimori , Koji Hukushima

We present a generalized circle theorem which includes the Lee-Yang theorem for symmetric transitions as a special case. It is found that zeros of the partition function can be written in terms of discontinuities in the derivatives of the…

凝聚态物理 · 物理学 2009-10-22 Koo-Chul Lee

Recent results on particle momentum and spin correlations are discussed in view of the role played by the effects of quantum statistics, including multiboson and coherence phenomena, and final state interaction. Particularly, it is…

核理论 · 物理学 2009-11-10 R. Lednicky

Showing that the location of the zeros of the partition function can be used to study phase transitions, Yang and Lee initiated an ambitious and very fruitful approach. We give an overview of the results obtained using this approach. After…

统计力学 · 物理学 2009-11-11 Ioana Bena , Michel Droz , Adam Lipowski

We show that by switching on a spin-orbit interaction in a cold-atom system, experiencing a Zeeman-like coupling to an external field, e.g., in a Bose-Einstein condensate, one can simulate a quantum measurement on a precessing spin.…

量子物理 · 物理学 2014-05-27 D. Sokolovski , E. Ya. Sherman

We compute correlation functions for one-dimensional electron systems which spin and charge degrees of freedom are coupled through spin-orbit coupling. Charge density waves, spin density waves, singlet- triplet- superconducting fluctuations…

强关联电子 · 物理学 2016-08-16 Aníbal Iucci

Dynamic xx spin pair correlation functions for the isotropic spin-1/2 XY chain are calculated numerically for long open chains in the presence of a transverse magnetic field at finite temperature. As an application we discuss the…

凝聚态物理 · 物理学 2009-10-31 O. Derzhko , T. Krokhmalskii , J. Stolze

We analyze the partition function of the Ising model on graphs of two different types: complete graphs, wherein all nodes are mutually linked and annealed scale-free networks for which the degree distribution decays as $P(k)\sim…

统计力学 · 物理学 2016-03-23 M. Krasnytska , B. Berche , Yu. Holovatch , R. Kenna

Exact two point correlation functions of sine-Liouville theory are presented for primary fields with U(1) charge neutral, which may either preserve or break winding number. Our result is checked with perturbative calculation and is also…

高能物理 - 理论 · 物理学 2007-05-23 Jongwook Kim , Bum-Hoon Lee , Chanyong Park , Chaiho Rim

We use spin correlations to constrain anomalous $\tau$-lepton couplings at the LHC including its anomalous magnetic moment, electric dipole moment and weak dipole moments. Single spin correlations are ideal to probe interference terms…

高能物理 - 唯象学 · 物理学 2015-09-02 Alper Hayreter , German Valencia

Investigations of quantum mechanical effects in macroscopic systems are of great interest to shed light onto the question where and how the transition to the classical world appears. It is also of practical relevance to determine if a bath…

量子物理 · 物理学 2014-02-04 Thomas Fink , Hendrik Bluhm