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We develop a generalized theory of (meta)equilibrium statistical mechanics in the thermodynamic limit valid for both smooth and fractal phase spaces. In the former case, our approach leads naturally to Boltzmann-Gibbs standard…

统计力学 · 物理学 2009-11-11 V. Garcia-Morales , J. Pellicer

We investigate the thermodynamic limit of the inhomogeneous T-Q relation of the antiferromagnetic XXZ spin chain with antiperiodic boundary condition. It is shown that the contribution of the inhomogeneous term at the ground state can be…

数学物理 · 物理学 2018-10-18 Zhirong Xin , Yi Qiao , Kun Hao , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

This article is the first in a series dealing with the thermodynamic properties of quantum Coulomb systems. In this first part, we consider a general real-valued function $E$ defined on all bounded open sets of $\R^3$. Our aim is to give…

数学物理 · 物理学 2008-12-21 Christian Hainzl , Mathieu Lewin , Jan Philip Solovej

Random matrix ensembles are introduced that respect the local tensor structure of Hamiltonians describing a chain of $n$ distinguishable spin-half particles with nearest-neighbour interactions. We prove a central limit theorem for the…

数学物理 · 物理学 2017-06-19 J. P. Keating , N. Linden , H. J. Wells

Using the quantum Monte Carlo Loop algorithm, we calculate the temperature dependence of the uniform susceptibility, the specific heat, the correlation length, the generalized staggered susceptibility and magnetization of a spin-1/2 chain…

凝聚态物理 · 物理学 2007-05-23 Beat Frischmuth , Manfred Sigrist , Beat Ammon , Matthias Troyer

We provide a thermodynamically consistent description of energy, charge and spin transfers in a thermoelectric quantum-dot spin valve in the collinear configuration based on nonequilibrium Green's function and full counting statistics. We…

介观与纳米尺度物理 · 物理学 2018-04-27 Gaomin Tang , Juzar Thingna , Jian Wang

In this paper, an open quantum system theory for spinfoams is developed. This new formalism aims at deriving an effective Lindblad equation to compute the reduced dynamics of a quantum gravitational field. The system parameters are…

量子物理 · 物理学 2021-05-26 Quentin Ansel

We consider general locally-interacting arbitrary-dimensional lattice spin systems that are gapped for any system size. We show under reasonable conditions that nondegenerate ground states of such systems obey the entanglement area law. In…

量子物理 · 物理学 2014-11-11 Jaeyoon Cho

The stochastic limit for the system of spins interacting with a boson field is investigated. In the finite volume an application of the stochastic golden rule shows that in the limit the dynamics of a quantum system is described by a…

量子物理 · 物理学 2009-10-31 L. Accardi , S. V. Kozyrev

Quantum thermodynamics is a powerful theoretical tool for assessing the suitability of quantum materials as platforms for novel technologies. In particular, the modeling of quantum cycles allows us to investigate the heat changes and work…

量子物理 · 物理学 2024-11-20 Vinicius Gomes de Paula , Wanisson S. Santana , Clebson Cruz , Mario Reis

Using a combination of high-temperature series expansion, exact diagonalization and quantum Monte Carlo, we perform a complementary analysis of the thermodynamic properties of quasi-one-dimensional mixed-spin systems with alternating…

强关联电子 · 物理学 2007-05-23 Noboru Fukushima , Andreas Honecker , Stefan Wessel , Wolfram Brenig

A fundamental question in many-body physics is how closed quantum systems reach equilibrium. We address this question experimentally and theoretically in an ultracold large-spin Fermi gas where we find a complex interplay between internal…

Certain classical statistical systems with strong local constraints are known to exhibit Coulomb phases, where long-range correlation functions have power-law forms. Continuous transitions from these into ordered phases cannot be described…

统计力学 · 物理学 2008-07-26 Stephen Powell , J. T. Chalker

The mean-field thermodynamic limit is studied for a class of isolated Newtonian N-body systems whose Hamiltonian admits several invariants of motion. It is shown that the macrostates of individual members of a statistical equilibrium…

数学物理 · 物理学 2009-11-13 Michael K. -H. Kiessling

Algorithmic cooling is a novel technique to generate ensembles of highly polarized spins, which could significantly improve the signal strength in Nuclear Magnetic Resonance (NMR) spectroscopy. It combines reversible (entropy-preserving)…

Equilibrium phase transitions usually emerge from the microscopic behavior of many-body systems and are associated to interesting phenomena such as the generation of long-range order and spontaneous symmetry breaking. They can be defined…

量子物理 · 物理学 2023-03-24 Emmanouil Grigoriou , Carlos Navarrete-Benlloch

We consider the physical model of a classical mechanical system (called "small system") undergoing repeated interactions with a chain of identical small pieces (called "environment"). This physical setup constitutes an advantageous way of…

数学物理 · 物理学 2011-11-04 Julien Deschamps

We propose a Gaussian ensemble as a description of the long-time dynamics of isolated quantum integrable systems. Our approach extends the Generalized Gibbs Ensemble (GGE) by incorporating fluctuations of integrals of motion. It is…

统计力学 · 物理学 2017-05-24 Hyungwon Kim , Anatoli Polkovnikov , Emil A. Yuzbashyan

A controlled quantum system can alter its environment by feedback, leading to reduced-entropy states of the environment and to improved system coherence. Here, using a quantum dot electron spin as control and probe, we prepare the quantum…

量子物理 · 物理学 2017-10-04 G. Éthier-Majcher , D. Gangloff , R. Stockill , E. Clarke , M. Hugues , C. Le Gall , M. Atatüre

The article considers systems of interacting particles on networks with adaptively coupled dynamics. Such processes appear frequently in natural processes and applications. Relying on the notion of graph convergence, we prove that for large…

动力系统 · 数学 2026-05-20 Sebastian Throm
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