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The process tensor framework to open quantum systems provides the most general description of multi-time correlations in non-Markovian quantum dynamics. A compressed representation of a process tensor in terms of matrix product operators…

Warm dense matter systems created in the laboratory are highly dynamical. In such cases electron dynamics is often needed to accurately simulate the evolution and properties of the system. Large systems force one to make simple…

量子气体 · 物理学 2014-08-13 Paul E. Grabowski

We introduce a novel, model-independent method for the efficient simulation of low-entropy systems, whose dynamics can be accurately described with a limited number of states. Our method leverages the time-dependent variational principle to…

量子物理 · 物理学 2024-12-02 Luca Gravina , Vincenzo Savona

Numerical methods for obtaining exact dynamics of non-Markovian open quantum systems are mostly limited to either small systems or to short-time evolution only. Here, we propose a new algorithm for computing process tensors--matrix product…

量子物理 · 物理学 2026-03-10 Émile Cochin , Jonathan Keeling , Brendon W. Lovett , Alex W. Chin

Chain-mapping techniques in combination with the time-dependent density matrix renormalization group are a powerful tool for the simulation of open-system quantum dynamics. For finite-temperature environments, however, this approach suffers…

量子物理 · 物理学 2019-09-02 Dario Tamascelli , Andrea Smirne , James Lim , Susana F. Huelga , Martin B. Plenio

NetworkDynamics.jl is an easy-to-use and computationally efficient package for working with heterogeneous dynamical systems on complex networks, written in Julia, a high-level, high-performance, dynamic programming language. By combining…

Thermodynamics entails a set of mathematical conditions on quantum Markovian dynamics. In particular, strict energy conservation between the system and environment implies that the dissipative dynamical map commutes with the unitary system…

量子物理 · 物理学 2021-04-07 Roie Dann , Ronnie Kosloff

We introduce an efficient method TTN-HEOM for exactly calculating the open quantum dynamics for driven quantum systems interacting with highly structured bosonic baths by combining the tree tensor network (TTN) decomposition scheme to the…

量子物理 · 物理学 2025-10-01 Xinxian Chen , Ignacio Franco

In non-perturbative non-Markovian open quantum systems, reaching either low temperatures with the hierarchical equations of motion (HEOM) or high temperatures with the Thermalized Time Evolving Density Operator with Orthogonal Polynomials…

We present a collection of methods to simulate entangled dynamics of open quantum systems governed by the Lindblad equation with tensor network methods. Tensor network methods using matrix product states have been proven very useful to…

量子气体 · 物理学 2018-11-09 Daniel Jaschke , Simone Montangero , Lincoln D. Carr

Thermodynamic models are often vital when characterising complex systems, particularly natural gas, electrolyte, polymer, pharmaceutical and biological systems. However, their implementations have historically been abstruse and cumbersome,…

计算物理 · 物理学 2025-06-26 Pierre J. Walker , Hon-Wa Yew , Andrés Riedemann

The dynamical behavior of open quantum systems plays a key role in many applications of quantum mechanics, examples ranging from fundamental problems, such as the environment-induced decay of quantum coherence and relaxation in many-body…

量子物理 · 物理学 2016-05-04 Heinz-Peter Breuer , Elsi-Mari Laine , Jyrki Piilo , Bassano Vacchini

Problems in the field of open quantum systems often involve an environment that strongly influences the dynamics of excited states. Here we present a numerical method to model optical spectra of non-Markovian open quantum systems. The…

量子物理 · 物理学 2025-05-01 Roosmarijn de Wit , Jonathan Keeling , Brendon W. Lovett , Alex W. Chin

Tensor product state (TPS) based methods are powerful tools to efficiently simulate quantum many-body systems in and out of equilibrium. In particular, the one-dimensional matrix-product (MPS) formalism is by now an established tool in…

强关联电子 · 物理学 2018-12-03 Johannes Hauschild , Frank Pollmann

StateSpaceModels.jl is an open-source Julia package for modeling, forecasting and simulating time series in a state-space framework. The package represents a straightforward tool that can be useful for a wide range of applications that deal…

统计计算 · 统计学 2020-02-11 Raphael Saavedra , Guilherme Bodin , Mario Souto

Many-body approaches to open quantum systems have recently become powerful tools for investigating the detailed role of dissipative environments in diverse non-equilibrium molecular and condensed matter processes. Here, we report the…

介观与纳米尺度物理 · 物理学 2016-02-15 Florian A. Y. N. Schröder , Alex W. Chin

Being able to describe accurately the dynamics and steady-states of driven and/or dissipative but quantum correlated lattice models is of fundamental importance in many areas of science: from quantum information to biology. An efficient…

量子物理 · 物理学 2021-05-19 Conor Mc Keever , Marzena H. Szymańska

Open many-body quantum systems play an important role in quantum optics and condensed-matter physics, and capture phenomena like transport, interplay between Hamiltonian and incoherent dynamics, and topological order generated by…

量子物理 · 物理学 2016-06-15 A. H. Werner , D. Jaschke , P. Silvi , M. Kliesch , T. Calarco , J. Eisert , S. Montangero

Approaching the long-time dynamics of non-Markovian open quantum systems presents a challenging task if the bath is strongly coupled. Recent proposals address this problem through a representation of the so-called process tensor in terms of…

量子物理 · 物理学 2024-05-20 Valentin Link , Hong-Hao Tu , Walter T. Strunz

PowerSimulations.jl is a Julia-based BSD-licensed power system operations simulation tool developed as a flexible and open source software for quasi-static power systems simulations including Production Cost Models. PowerSimulations.jl…

系统与控制 · 电气工程与系统科学 2024-04-05 Jose Daniel Lara , Clayton Barrows , Daniel Thom , Sourabh Dalvi , Duncan S. Callaway , Dheepak Krishnamurthy