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We review the main methods used to study spin glasses. In the first part, we focus on methods for fully connected models and systems defined on a tree, such as the replica method, the Thouless-Anderson-Palmer formalism, the cavity method,…

Disordered Systems and Neural Networks · Physics 2023-12-01 Ada Altieri , Marco Baity-Jesi

We construct a mixed spin 1/2 and $S$ integrable model and investigate its finite size properties. For a certain conformal invariant mixed spin system the central charge can be decomposed in terms of the conformal anomaly of two single…

Statistical Mechanics · Physics 2009-10-30 S. R. Aladim , M. J. Martins

Joint, or simultaneous, measurements of non-commuting observables are possible within quantum mechanics, if one accepts an increase in the variances of the jointly measured observables. In this paper, we discuss joint measurements of a spin…

Quantum Physics · Physics 2009-11-11 Erika Andersson , Stephen M. Barnett , Alain Aspect

For any mean value of a cartesian component of a spin vector we identify the smallest possible uncertainty in any of the orthogonal components. The corresponding states are optimal for spectroscopy and atomic clocks. We show that the…

Quantum Physics · Physics 2009-11-06 Anders Sorensen , Klaus Molmer

The spin-1 correlators are analysed in this talk through a large NC resonance theory. The matching to perturbative QCD and the first terms in the OPE constrains the hadronic parameters. A further sum-rule analysis shows the wider range of…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. J. Sanz-Cillero

We explore conformal primary wavefunctions for all half integer spins up to the graviton. Half steps are related by supersymmetry, integer steps by the classical double copy. The main results are as follows: we 1) introduce a convenient…

High Energy Physics - Theory · Physics 2021-10-27 Sabrina Pasterski , Andrea Puhm

Polarization measurements provide a detailed method to test the Standard Model and to search for new physics. Most previous studies depend on pre-selected coordinates, which blurs the significance of the results. The construction of two…

High Energy Physics - Phenomenology · Physics 2017-03-16 Yan-Qing Ma , Jian-Wei Qiu , Hong Zhang

For physical theories, the degree of arbitrariness of a system is of great importance, and is often closely linked to the concept of degree of freedom, and for most systems this number is far from obvious. In this paper we present an easy…

Mathematical Physics · Physics 2012-01-12 Ziyang Hu

We present an alternative formalism for modeling spin. The ontological elements of this formalism are base-2 sequences of length $n$. The machinery necessary to model physics is then developed by considering correlations between base-2…

Quantum Physics · Physics 2022-12-15 Sam Powers , Dejan Stojkovic

The so-called Dirac oscillator was proposed as a modification of the free Dirac equation which reproduces many of the properties of the simple harmonic oscillator but accompanied by a strong spin-orbit coupling term. It has yet to be…

Quantum Physics · Physics 2014-09-19 C. R. Hagen

We prove that well known first-order (in spin, momentum, and space-time coordinates) equations of motion of relativistic top are equivalent to the third-order equations of Mathisson on the surface of the Mathisson-Pirani auxiliary…

General Relativity and Quantum Cosmology · Physics 2014-07-28 Roman Matsyuk

We study the interaction of a scalar and a spinning particle with a coherent linearized gravitational wave field treated as a classical spin two external field. The spin degrees of freedom of the spinning particle are described by…

High Energy Physics - Theory · Physics 2008-11-26 A. Barducci , R. Giachetti

We present a control-theoretic analysis of the system consisting of a two-level atom coupled with a quantum harmonic oscillator. We show that by applying external fields with just two resonant frequencies, any desired unitary operator can…

Quantum Physics · Physics 2009-11-13 Haidong Yuan , Seth Lloyd

We demonstrate a concise method to enumerate the number of generalized polarizabilities---quantities characterizing the independent observables in singly-virtual Compton scattering---for a target particle of arbitrary spin s. By using…

High Energy Physics - Phenomenology · Physics 2009-11-07 Richard F. Lebed

We introduce entanglement witnesses for spin ensembles which detect genuine multipartite entanglement using only measurements of the total angular momentum. States that are missed by most other angular-momentum-based witnesses for spin…

Quantum Physics · Physics 2024-04-02 Khoi-Nguyen Huynh-Vu , Lin Htoo Zaw , Valerio Scarani

We study the problem of determining the Hamiltonian of a fully connected Ising Spin Glass of $N$ units from a set of measurements, whose sizes needs to be ${\cal O}(N^2)$ bits. The student-teacher scenario, used to study learning in…

Disordered Systems and Neural Networks · Physics 2010-06-10 Silvia Kuva , Osame Kinouchi , Nestor Caticha

In the many fields in which the Ising model is applied nowadays, the spin variables are often assumed to be of spin-class $\{-1,1\}$ or $\{0,1\}$, even though for any mix of binary real valued spin-classes a proper Ising model distribution…

Statistical Mechanics · Physics 2020-06-25 Joost Kruis

We summarize recent developments of the semiclassical description of shell effects in finite fermion systems with explicit inclusion of spin degrees of freedom, in particluar in the presence of spin-orbit interactions. We present a new…

Nuclear Theory · Physics 2009-11-10 M. Brack , Ch. Amann , M. Pletyukhov , O. Zaitsev

We study a weighted divisor function $\mathop{{\sum}'}\limits_{mn\leq x}\cos(2\pi m\theta_1)\sin(2\pi n\theta_2)$, where $\theta_i (0<\theta_i<1)$ is a rational number. By connecting it with the divisor problem with congruence conditions,…

Number Theory · Mathematics 2016-11-24 Lirui Jia , Wenguang Zhai

We introduce a general scheme to detect various multiparticle entanglement structures from global non-permutationally invariant observables. In particular, we derive bounds on the variance of non-permutationally invariant and collective…

Quantum Physics · Physics 2017-08-24 Oliver Marty , Marcus Cramer , Giuseppe Vitagliano , Geza Toth , Martin B. Plenio