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The dynamics of a coupled system comprised of a two-level atom and cavity field assisted by continuous external classical field (driving Jaynes-Cummings model) is studied. When the initial field is prepared in a coherent state, the dynamics…

Quantum Physics · Physics 2007-05-23 Gennadiy Burlak

We derive the mean-field theory of disordered block-copolymers composed of two monomeric species, combining Edwards' functional method with the replica technique of disordered systems. In the absence of disorder we recover the canonical…

Soft Condensed Matter · Physics 2011-01-17 Gabriele Migliorini

Disordered and hyperuniform structures of densely packed spheres near and at jamming are characterized by vanishing of long-wavelength density fluctuations, or equivalently by long-range power-law decay of the direct correlation function…

Statistical Mechanics · Physics 2021-10-04 Hiroshi Frusawa

We study the nonequilibrium steady state of the driven-dissipative Bose-Hubbard model with Kerr nonlinearity. Employing a mean-field decoupling for the intercavity hopping $J$, we find that the steep crossover between low and high…

Optics · Physics 2017-10-06 M. Biondi , G. Blatter , H. E. Türeci , S. Schmidt

We investigate a quantum Heisenberg model with both antiferromagnetic and disordered nearest-neighbor couplings. We use an extended dynamical mean-field approach, which reduces the lattice problem to a self-consistent local impurity problem…

Disordered Systems and Neural Networks · Physics 2009-11-13 S. Burdin , D. R. Grempel , M. Grilli

Non-Hermitian systems have provided a rich platform to study unconventional topological phases.These phases are usually robust against external perturbations that respect certain symmetries of thesystem. In this work, we provide a new…

Disordered Systems and Neural Networks · Physics 2022-11-28 Anouar Moustaj , Lumen Eek , Cristiane Morais Smith

We introduce a versatile method to compute electronic steady state properties of strongly correlated extended quantum systems out of equilibrium. The approach is based on dynamical mean-field theory (DMFT), in which the original system is…

Strongly Correlated Electrons · Physics 2013-03-05 Enrico Arrigoni , Michael Knap , Wolfgang von der Linden

We introduce an auxiliary-particle field theory to treat the non-Markovian dynamics of driven-dissipative quantum systems of the Jaynes-Cummings type. It assigns an individual quantum field to each reservoir state and provides an analytic,…

Quantum Gases · Physics 2024-03-05 Tim Bode , Michael Kajan , Francisco Meirinhos , Johann Kroha

We suggest a generalisation of the expression of the nonequilibrium density matrix obtained by Hershfield's method for the cases where both heat and charge steady state currents are present in a quantum open system. The finite-size quantum…

Mesoscale and Nanoscale Physics · Physics 2014-12-15 H. Ness

We use quantum Monte Carlo simulations with the worm algorithm to study the phase diagram of a two-dimensional Bose-Hubbard model with cavity-mediated long-range interactions and uncorrelated disorder in the hard-core limit. Our study shows…

Disordered Systems and Neural Networks · Physics 2020-11-03 Chao Zhang , Heiko Rieger

Depth-averaged systems of equations describing the motion of fluid-sediment mixtures have been widely adopted by scientists in pursuit of models that can predict the paths of dangerous overland flows of debris. As models have become…

Fluid Dynamics · Physics 2026-04-07 Jake Langham , Xiannan Meng , Jamie P. Webb , Chris G. Johnson , J. M. N. T. Gray

Strongly correlated electrons with box disorder in high-dimensional lattices are investigated. We apply the statistical dynamical mean-field theory, which treats local correlations non-perturbatively. The incorporation of a finite lattice…

Disordered Systems and Neural Networks · Physics 2011-09-27 Denis Semmler , Krzysztof Byczuk , Walter Hofstetter

We study the effect of quenched spatial disorder on the steady states of driven systems of interacting particles. Two sorts of models are studied: disordered drop-push processes and their generalizations, and the disordered asymmetric…

Statistical Mechanics · Physics 2009-10-30 Goutam Tripathy , Mustansir Barma

We present a unified approach to the theory of multimodal laser cavities including a variable amount of structural disorder. A general mean-field theory is studied for waves in media with variable non-linearity and randomness. Phase…

Optics · Physics 2015-02-03 Fabrizio Antenucci , Claudio Conti , Andrea Crisanti , Luca Leuzzi

We investigate steady-state properties of a two-dimensional incoherent-pumped dissipative Bose-Hubbard model, which describes a photon square lattice. This incoherent pumping exhibits an important environment-induced higher-order…

Quantum Physics · Physics 2016-09-15 Yuanwei Zhang , Jingtao Fan , Gang Chen , Wu-Ming Liu

We review recent developments in the theory of interacting quantum many-particle systems that are not in equilibrium. We focus mainly on the nonequilibrium generalizations of the flow equation approach and of dynamical mean-field theory…

Strongly Correlated Electrons · Physics 2010-06-16 M. Eckstein , A. Hackl , S. Kehrein , M. Kollar , M. Moeckel , P. Werner , F. A. Wolf

Disorder in one-dimensional (1D) many-body systems emerges abundant phases such as many-body localization (MBL), and thermalization. However, it remains unclear regarding their existence and behavior within hybrid quantum systems. Here,…

Quantum Physics · Physics 2023-08-24 Jin-Lou Ma , Bobo Liu , Qing Li , Zexian Guo , Lei Tan , Lei Ying

Analytical solution for the stationary density matrix is derived, by using the Morris-Shore transformation, for an open Jaynes-Cummings system of a two-level atom with Zeeman sublevel degeneracy coupled to an arbitrary-polarized cavity…

Quantum Physics · Physics 2009-10-08 Sungsam Kang , Youngwoon Choi , Sooin Lim , Wookrae Kim , Jai-Hyung Lee , Kyungwon An

We study non-equilibrium stationary states of a cavity system consisting of many atoms interacting with a quantized cavity field mode, under a driving field in a dissipative environment. We derive a quantum master equation which is suitable…

Quantum Physics · Physics 2014-01-28 Tatsuhiko Shirai , Takashi Mori , Seiji Miyashita

We develop the nonequilibrium extension of bosonic dynamical mean field theory (BDMFT) and a Nambu real-time strong-coupling perturbative impurity solver. In contrast to Gutzwiller mean-field theory and strong coupling perturbative…

Quantum Gases · Physics 2015-04-03 Hugo U. R. Strand , Martin Eckstein , Philipp Werner