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Understanding how closed quantum systems dynamically approach thermal equilibrium presents a major unresolved problem in statistical physics. Generically, non-integrable quantum systems are expected to thermalize as they comply with the…

In this study, we investigate out-of-time-order correlators (OTOCs) in systems with power-law decaying interactions such as $R^{-\alpha}$, where $R$ is the distance. In such systems, the fast scrambling of quantum information or the…

量子物理 · 物理学 2021-01-29 Tomotaka Kuwahara , Keiji Saito

We consider an open quantum system in contact with fermionic metallic reservoirs in a nonequilibrium setup. For the case of spin, orbital or potential fluctuations, we present a systematic formulation of real-time renormalization group at…

介观与纳米尺度物理 · 物理学 2014-09-19 Frank Reininghaus , Mikhail Pletyukhov , Herbert Schoeller

We consider a modified version of the well-known 2d vdP oscillator with a new non-Hermitian interaction. The usual perturbative approach fails to provide the classical dynamics of the system as the classical solutions become divergent in…

量子物理 · 物理学 2023-10-31 Biswajit Bhowmick , Rohit Mahendra Shinde , Bhabani Prasad Mandal

We study a two dimensional Ising model between thermostats at different temperatures. By applying the recently introduced KQ dynamics, we show that the system reaches a steady state with coexisting phases transversal to the heat flow. The…

统计力学 · 物理学 2008-03-27 E. Agliari , M. Casartelli , A. Vezzani

We analyze the statistical mechanics of a free-standing quantum crystalline membrane within the framework of a systematic perturbative renormalization group (RG). A power-counting analysis shows that the leading singularities of correlation…

统计力学 · 物理学 2022-06-01 Achille Mauri , Mikhail I. Katsnelson

We investigate the relaxation dynamics of open non-integrable quantum many-body systems in the thermodynamic limit by using a tensor-network formalism. We simulate the Lindblad quantum master equation (LQME) of infinite systems by making…

统计力学 · 物理学 2021-04-21 Hayate Nakano , Tatsuhiko Shirai , Takashi Mori

The non equilibrium relaxational dynamics of the solid on solid model on a disordered substrate and the Sine Gordon model with random phase shifts is studied numerically. Close to the super-roughening temperature $T_g$ our results for the…

无序系统与神经网络 · 物理学 2009-11-10 Gregory Schehr , Heiko Rieger

We study a quantum extension of the spherical $p$-spin-glass model using the imaginary-time replica formalism. We solve the model numerically and we discuss two analytical approximation schemes that capture most of the features of the…

无序系统与神经网络 · 物理学 2009-10-31 Leticia F Cugliandolo , D. R. Grempel , Constantino A da Silva Santos

The Wilsonian renormalization group (RG) method is applied to finite temperature systems for the study of non-perturbative methods in the field theory. We choose the O(N) linear sigma model as the first step. Under the local potential…

高能物理 - 唯象学 · 物理学 2007-05-23 T. Umekawa , K. Naito , M. Oka

Renormalisation group approaches are tailor made for resolving the scale-dependence of quantum and statistical systems, and hence their phase structure and critical physics. Usually this advantage comes at the price of having to truncate…

高能物理 - 理论 · 物理学 2023-11-28 Friederike Ihssen , Jan M. Pawlowski

We propose a numerical renormalization group (NRG) approach to steady-state currents through nano-devices. A discretization of the scattering-states continuum ensures the correct boundary condition for an open quantum system. We introduce…

介观与纳米尺度物理 · 物理学 2009-01-15 Frithjof B. Anders

We study a generic problem of dissipative quantum mechanics, a small local quantum system with discrete states coupled in an arbitrary way (i.e. not necessarily linear) to several infinitely large particle or heat reservoirs. For both…

介观与纳米尺度物理 · 物理学 2009-11-13 Herbert Schoeller

The parallel-tempering method has been applied to numerically study the thermodynamic behavior of a three-dimensional disordered antiferromagnetic Ising model with random fields at spin concentrations corresponding to regions of both weak…

无序系统与神经网络 · 物理学 2008-02-04 V. Prudnikov , A. Vakilov , E. Filikanov

Thermodynamic properties of the ferromagnetic Ising model on the hierarchical pentagon lattice is studied by means of the tensor network methods. The lattice consists of pentagons, where 3 or 4 of them meet at each vertex. Correlation…

统计力学 · 物理学 2024-07-08 Takumi Oshima , Tomotoshi Nishino

Non-equilibrium thermodynamics of the driven resonant level model is studied using numerical simulations based on the driven Liouville von-Neumann formalism. The approach is first validated against recently obtained analytical results for…

介观与纳米尺度物理 · 物理学 2019-10-08 Annabelle Oz , Oded Hod , Abraham Nitzan

In this work, we use the numerical renormalization group (NRG) theory to study the thermodynamics of the two-impurity Anderson model. Two different methods are used to estimate the effect of the Dzyaloshiskii-Moriya (DM) interaction on the…

强关联电子 · 物理学 2018-01-17 Liang Chen , Bo Hu , Rong-Sheng Han

Using an efficient one and two qubit gate simulator, operating on graphical processing units, we investigate ergodic properties of a quantum Ising spin 1/2 model on a two dimensional lattice, which is periodically driven by a…

统计力学 · 物理学 2015-01-07 Carlos Pineda , Tomaž Prosen , Eduardo Villaseñor

In this paper, we consider a diffuse-interface gas-liquid two-phase flow model with inhomogeneous temperatures, in which we employ the Peng-Robinson equation of state and the temperature-dependent influence parameter instead of the van der…

数值分析 · 数学 2018-08-01 Jisheng Kou , Shuyu Sun

Heavy fermion materials naturally combine strong spin-orbit interactions and electronic correlations. When there is precisely one conduction electron per impurity spin, the coherent heavy fermion state is insulating. This Kondo insulating…

强关联电子 · 物理学 2013-07-12 Jan Werner , Fakher F. Assaad