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A decomposition of the non-equilibrium stationary state of a quadratic Fermi system influenced by linear baths is obtained and used to establish a simulation protocol in terms of tensor states. The scheme is then applied to examine the…

Quantum Physics · Physics 2021-01-14 Jose Reslen

We present an efficient strategy for controlling a vast range of non-integrable quantum many body one-dimensional systems that can be merged with state-of-the-art tensor network simulation methods like the density Matrix Renormalization…

Quantum Physics · Physics 2015-03-13 Patrick Doria , Tommaso Calarco , Simone Montangero

We derive the exact out-of-equilibrium Wigner function of a bosonic mode linearly coupled to a bosonic bath of arbitrary spectral density. Our solution does not rely on any master equation approach and it therefore also correctly describes…

Quantum Physics · Physics 2014-01-13 A. Rancon , J. Bonart

Numerical linked-cluster expansions allow one to calculate finite-temperature properties of quantum lattice models directly in the thermodynamic limit through exact solutions of small clusters. However, full diagonalization is often the…

Strongly Correlated Electrons · Physics 2019-07-17 Krishnakumar Bhattaram , Ehsan Khatami

Non-Markovian effects are important in modeling the behavior of open quantum systems arising in solid-state physics, quantum optics as well as in study of biological and chemical systems. The non-Markovian environment is often approximated…

Quantum Physics · Physics 2022-01-05 Rahul Trivedi , Daniel Malz , J. Ignacio Cirac

We present a detailed study of the entanglement dynamics of a two-qubit system coupled to independent non-Markovian environments, employing hierarchy equations. This recently developed theoretical treatment can conveniently solve…

Quantum Physics · Physics 2015-05-20 Hao-Tian Wang , Chuan-Feng Li , Yang Zou , Rong-Chun Ge , Guang-Can Guo

Non-Markovian quantum state diffusion (NMQSD) is a non-relativistic but otherwise exact theory which expresses the reduced density matrix of an arbitrary subsystem, interacting linearly with an uncoupled harmonic oscillator bath, as an…

Quantum Physics · Physics 2007-05-23 Joshua Wilkie , Ray Ng

We consider bosonic quantum complex networks as structured finite environments for a quantum harmonic oscillator and investigate the interplay between the network structure and its spectral density, excitation transport properties and…

Quantum Physics · Physics 2017-12-25 Johannes Nokkala , Sabrina Maniscalco , Jyrki Piilo

Dynamical decoupling is a technique aimed at suppressing the interaction between a quantum system and its environment by applying frequent unitary operations on the system alone. In the present paper, we analytically study the dynamical…

Quantum Physics · Physics 2025-08-15 Alexander Hahn , Daniel Burgarth , Davide Lonigro

We develop a new simulation method for multidimensional diffusions with sticky boundaries. The challenge comes from simulating the sticky boundary behavior, for which standard methods like the Euler scheme fail. We approximate the sticky…

Probability · Mathematics 2021-07-12 Christian Meier , Lingfei Li , Gongqiu Zhang

Recently there has been an intense effort to understand measurement induced transitions, but we still lack a good understanding of non-Markovian effects on these phenomena. To that end, we consider two coupled chains of free fermions, one…

Quantum Physics · Physics 2024-03-18 Mikheil Tsitsishvili , Dario Poletti , Marcello Dalmonte , Giuliano Chiriacò

We show that quantum coherence of biomolecular excitons is maintained over exceedingly long times due to the constructive role of their non-Markovian protein-solvent environment. Using a numerically exact approach, we demonstrate that a…

Mesoscale and Nanoscale Physics · Physics 2009-08-25 Michael Thorwart , Jens Eckel , John H. Reina , Peter Nalbach , Stephan Weiss

We use the system-plus-reservoir approach to study the dynamics of a system composed of two independent Brownian particles. We present an extension of the well-known model of a bath of oscillators which is capable of inducing an effective…

Statistical Mechanics · Physics 2009-11-11 O. S. Duarte , A. O. Caldeira

We calculate the exact many-body time dynamics of polaritonic states supported by an optical cavity filled with organic molecules. Optical, vibrational and radiative processes are treated on an equal footing employing the Time-Dependent…

Mesoscale and Nanoscale Physics · Physics 2019-04-05 Javier del Pino , Florian A. Y. N. Schröder , Alex W. Chin , Johannes Feist , Francisco J. Garcia-Vidal

Quantum algorithms have the potential to revolutionize our understanding of open quantum systems in chemistry. In this work, we demonstrate that a repeated interaction model, which could serve as the foundation for a digital quantum…

Quantum Physics · Physics 2025-05-05 Lea K. Northcote , Matthew S. Teynor , Gemma C. Solomon

Precoding with block diagonalization is an attractive scheme for approaching sum capacity in multiuser multiple input multiple output (MIMO) broadcast channels. This method requires either global channel state information at every receiver…

Information Theory · Computer Science 2007-07-13 Seijoon Shim , Chan-Byoung Chae , Robert W. Heath

We present high resolution numerical simulations of convection in multiphase flows (boiling) using a novel algorithm based on a Lattice Boltzmann method. We first validate the thermodynamical and kinematical properties of the algorithm.…

Fluid Dynamics · Physics 2015-06-03 L. Biferale , P. Perlekar , M. Sbragaglia , F. Toschi

We show how to learn structures of generic, non-Markovian, quantum stochastic processes using a tensor network based machine learning algorithm. We do this by representing the process as a matrix product operator (MPO) and train it with a…

Quantum Physics · Physics 2021-01-04 Chu Guo , Kavan Modi , Dario Poletti

Transient simulation of linear and nonlinear circuits remains an important task in modern EDA tools. At present, SPICE-like simulators face challenges in parallelization, nonlinear convergence and linear efficiency, especially when applied…

Computational Engineering, Finance, and Science · Computer Science 2025-11-21 Zijian Zhang , Yuanmiao Lin , Xuesong Chen , Shuting Cai

We generalize time-evolving matrix product operators method to nonequilibrium quantum transport problems. The nonequilibrium current is obtained via numerical differentiation of the generating functional which is represented as a tensor…

Mesoscale and Nanoscale Physics · Physics 2023-03-23 Ruofan Chen