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Standard optomechanical sensors operating in the low-temperature regime often face fundamental precision limits imposed by vacuum fluctuations. Here, we demonstrate that moving beyond conventional radiation-pressure interactions and…

Quantum Physics · Physics 2026-02-25 Asghar Ullah , Özgür E. Müstecaplıoğlu

The Schwinger model is used to study the artifacts of quenching in a controlled way. The model is solved on a finite-temperature cylinder of circumference $\beta=1/T$ with bag-inspired local boundary conditions at the two ends $x^1=0$ and…

High Energy Physics - Lattice · Physics 2009-10-31 Stephan Dürr , Stephen R. Sharpe

We investigate a quantum gauge theory at finite temperature and density using a variational algorithm for near-term quantum devices. We adapt $\beta$-VQE to evaluate thermal and quantum expectation values and study the phase diagram for…

High Energy Physics - Lattice · Physics 2022-05-19 Akio Tomiya

The inverse-temperature four-vector $\beta^\mu = u^\mu/(k_B T_0)$ has been the theoretically accepted description of relativistic equilibrium since van Kampen and Israel, yet no experiment has ever reconstructed $\beta^\mu$ as a single…

Plasma Physics · Physics 2026-03-23 Ira Wolfson

We study the heat statistics of a multi-level $N$-dimensional quantum system monitored by a sequence of projective measurements. The late-time, asymptotic properties of the heat characteristic function are analyzed in the thermodynamic…

Quantum Physics · Physics 2021-09-15 Stefano Gherardini , Guido Giachetti , Stefano Ruffo , Andrea Trombettoni

We consider a class of Dean-Kawasaki type equations on $\mathbb{T}$ with logarithmic repulsive interactions depending on the inverse temperature $\beta$ and a new spectral approximation to the noise part, which approximately features Otto's…

Probability · Mathematics 2024-12-12 Hao Ding

In this manuscript we study tridiagonal random matrix models related to the classical $\beta$-ensembles (Gaussian, Laguerre, Jacobi) in the high temperature regime, i.e. when the size $N$ of the matrix tends to infinity with the constraint…

Spectral Theory · Mathematics 2023-06-22 Guido Mazzuca

For an inverse temperature $\beta>0$, we define the $\beta$-circular Riesz gas on $\mathbb{R}^d$ as any microscopic thermodynamic limit of Gibbs particle systems on the torus interacting via the Riesz potential $g(x) = \Vert x \Vert^{-s}$.…

Probability · Mathematics 2021-04-20 David Dereudre , Thibaut Vasseur

An upper bound of the relative entanglement entropy of thermal states at an inverse temperature $\beta$ of linear, massive Klein-Gordon and Dirac quantum field theories across two regions, separated by a nonzero distance $d$ in a Cauchy…

Mathematical Physics · Physics 2020-02-25 Onirban Islam

By calculating correlation functions for the Lieb-Liniger model based on the algebraic Bethe ansatz method, we conduct a finite-size scaling analysis of the eigenstate thermalization hypothesis (ETH) which is considered to be a possible…

Statistical Mechanics · Physics 2015-04-06 Tatsuhiko N. Ikeda , Yu Watanabe , Masahito Ueda

The unitary group with the Haar probability measure is called Circular Unitary Ensemble. All the eigenvalues lie on the unit circle in the complex plane and they can be regarded as a determinantal point process on $\mathbb{S}^1$. It is also…

Probability · Mathematics 2022-03-16 Makoto Katori , Tomoyuki Shirai

In a previous paper [arXiv:2402.14512v3], we investigated the dependence of the running coupling constant on temperature and chemical potential for holographic models of the light and heavy quarks, supported by an Einstein-dilaton-Maxwell…

High Energy Physics - Theory · Physics 2025-03-13 Irina Ya. Aref'eva , Ali Hajilou , Pavel Slepov , Marina Usova

We study phase transitions in uniformly frustrated SU(N)-symmetric $(2+\epsilon)$-dimensional lattice models describing type-II superconductors near the upper critical magnetic field $H_{c2}(T)$. The low-temperature renormalization-group…

Superconductivity · Physics 2009-10-31 Giancarlo Jug , Boris N. Shalaev

This paper is concerned with freezing phase transitions in general dynamical systems. A freezing phase transition is one in which, for a given potential $\phi$, there exists some inverse temperature $\beta_0 > 0$ such that for all $\alpha,…

Dynamical Systems · Mathematics 2025-04-17 C. Evans Hedges

In recent years, much attention has been paid to the development of techniques which transfer trapped particles to very low temperatures. Here we focus our attention on a heating mechanism which contributes to the finite temperature limit…

Quantum Physics · Physics 2015-05-30 Almut Beige , Andreas Kurcz , Adam Stokes

Measurements of the Nusselt number $Nu$ and of temperature variations $\Delta T_b$ in the bulk fluid are reported for turbulent Rayleigh-B\'enard convection of a cylindrical sample. They cover the Rayleigh-number range $10^{9} \alt Ra \alt…

Fluid Dynamics · Physics 2009-04-17 Denis Funfschilling , Eberhard Bodenschatz , Guenter Ahlers

We consider Laguerre polynomials $L_n^{(\alpha_n)}(nz)$ with varying negative parameters $\alpha_n$, such that the limit $A = -\lim_n \alpha_n/n$ exists and belongs to $(0,1)$. For $A > 1$, it is known that the zeros accumulate along an…

Classical Analysis and ODEs · Mathematics 2010-07-29 A. B. J. Kuijlaars , K. T-R McLaughlin

We numerically investigate the structures of the near-plate temperature profiles close to the bottom and top plates of turbulent Rayleigh-B\'{e}nard flow in a cylindrical sample at Rayleigh numbers Ra=10^8 to Ra=2\times10^{12} and Prandtl…

Understanding the limiting behavior of eigenvalues of random matrices is the central problem of random matrix theory. Classical limit results are known for many models, and there has been significant recent progress in obtaining more…

Probability · Mathematics 2017-09-05 Elizabeth S. Meckes , Mark W. Meckes

The Glauber model is reconsidered based on a quantum formulation of the Master equation. Unlike the conventional approach the temperature and the Ising energy are included from the beginning by introducing a Heisenberg-like picture of the…

Statistical Mechanics · Physics 2009-11-11 Thomas Michael , Steffen Trimper , Michael Schulz