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Building on the standard hierarchy of pure states (HOPS) approach, we construct a generalized formulation suitable for open quantum systems interacting with nonstationary Gaussian baths, potentially extending its applicability to…

量子物理 · 物理学 2026-03-13 Vladislav Sukharnikov , Stasis Chuchurka , Frank Schlawin

We show that the general and numerically exact Hierarchy of Pure States method (HOPS) is very well applicable to calculate the reduced dynamics of an open quantum system. In particular we focus on environments with a sub-Ohmic spectral…

量子物理 · 物理学 2017-10-24 Richard Hartmann , Walter T. Strunz

We derive a hierarchy of stochastic evolution equations for pure states (quantum trajectories) to efficiently solve open quantum system dynamics with non-Markovian structured environments. From this hierarchy of pure states (HOPS) the exact…

量子物理 · 物理学 2015-06-18 D. Süß , A. Eisfeld , W. T. Strunz

We derive a stochastic hierarchy of matrix product states (HOMPS) for non-Markovian dynamics in open quantum system at finite temperature, which is numerically exact and efficient. HOMPS is obtained from the recently developed stochastic…

量子物理 · 物理学 2022-04-04 Xing Gao , Jiajun Ren , Alexander Eisfeld , Zhigang Shuai

The photoexcitation dynamics of molecular materials on the 10-100 nm length scale depend on complex interactions between the electronic and vibrational degrees of freedom, rendering exact calculations difficult or intractable. The adaptive…

化学物理 · 物理学 2024-03-11 Brian Citty , Jacob K. Lynd , Tarun Gera , Leonel Varvelo , Doran I. G. B. Raccah

We unite two of the most widely used approaches for strongly damped, non-Markovian open quantum dynamics, the Hierarchical Equations of Motion (HEOM) and the pseudomode method by proving two statements: First, every physical bath…

量子物理 · 物理学 2026-04-09 Kai Müller , Walter T. Strunz

The hierarchy of pure states (HOPS) is a wavefunction-based method which can be used for numerically modeling open quantum systems. Formally, HOPS recovers the exact system dynamics for an infinite depth of the hierarchy. However,…

化学物理 · 物理学 2018-04-18 P. -P. Zhang , C. D. B. Bentley , A. Eisfeld

Quantum computing offers promising new avenues for tackling the long-standing challenge of simulating the quantum dynamics of complex chemical systems, particularly open quantum systems coupled to external baths. However, simulating such…

量子物理 · 物理学 2025-02-20 Xiaohan Dan , Eitan Geva , Victor S. Batista

Open quantum systems that feature non-Markovian dynamics are routinely solved using techniques such as the Hierarchical Equations of Motion (HEOM). However, their usage of the entire system density-matrix renders them intractable for…

量子物理 · 物理学 2025-06-30 Kai Müller , Kimmo Luoma , Christian Schäfer

The simulation of spectroscopic observables for molecular aggregates with strong and structured coupling of electronic excitation to vibrational degrees of freedom is an important but challenging task. The hierarchy of pure states (HOPS)…

量子物理 · 物理学 2022-04-13 Lipeng Chen , Doran I. G. Bennett , Alexander Eisfeld

We introduce a new analytical method for studying the open quantum systems problem of a discrete system weakly coupled to an environment of harmonic oscillators. Our approach is based on a phase space representation of the density matrix…

量子物理 · 物理学 2015-02-27 Amir Fruchtman , Brendon W. Lovett , Simon C. Benjamin , Erik M. Gauger

This work presents novel discrete event-based simulation algorithms based on the Quantized State System (QSS) numerical methods. QSS provides attractive features for particle transportation processes, in particular a very efficient handling…

计算物理 · 物理学 2021-09-16 Lucio Santi , Lucas Rossi , Rodrigo Castro

The dynamics of open quantum systems can be simulated by unraveling it into an ensemble of pure state trajectories undergoing non-unitary monitored evolution, which has recently been shown to undergo measurement-induced entanglement phase…

量子物理 · 物理学 2025-03-26 Zhuo Chen , Yimu Bao , Soonwon Choi

Modeling the non-equilibrium dissipative dynamics of strongly interacting quantized degrees of freedom is a fundamental problem in several branches of physics and chemistry. We implement a quantum state trajectory scheme for solving…

量子物理 · 物理学 2023-03-17 Johan F. Triana , Felipe Herrera

Quantum systems out of equilibrium are presently a subject of active research, both in theoretical and experimental domains. In this work we consider time-periodically modulated quantum systems which are in contact with a stationary…

量子气体 · 物理学 2017-12-06 V. Volokitin , A. Liniov , I. Meyerov , M. Hartmann , M. Ivanchenko , P. Hänggi , S. Denisov

Quantum trajectories and superoperator algorithms implemented within the matrix product state (MPS) framework are powerful tools to simulate the real-time dynamics of open dissipative quantum systems. As for the unitary case, the reachable…

量子气体 · 物理学 2014-11-19 Lars Bonnes , Andreas M. Läuchli

Recently, there has been intense research in proposing and developing various methods for constructing high-order exceptional points (EPs) in dissipative systems. These EPs can possess a number of intriguing properties related to, e.g.,…

量子物理 · 物理学 2021-07-12 Ievgen I. Arkhipov , Fabrizio Minganti , Adam Miranowicz , Franco Nori

The study of open quantum systems is important for fundamental issues of quantum physics as well as for technological applications such as quantum information processing. The interaction of a quantum system with it's environment is usually…

量子物理 · 物理学 2016-02-02 Jun Sun , Yong-Nan Sun , Chuan-Feng Li , Guang-Can Guo , Kimmo Luoma , Jyrki Piilo

The dynamics of many-body quantum states in open systems is commonly numerically simulated by unraveling the density matrix into pure-state trajectories. In this work, we introduce a new unraveling strategy that can adaptively minimize the…

量子物理 · 物理学 2025-02-12 Ruben Daraban , Fabrizio Salas-Ramírez , Johannes Schachenmayer

We introduce an exact open system method to describe the dynamics of quantum systems that are strongly coupled to specific types of environments comprising of spins, such as central spin systems. Our theory is similar to the established…

量子物理 · 物理学 2023-09-06 Valentin Link , Kimmo Luoma , Walter T. Strunz
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