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Related papers: Non-Markovian quantum jumps

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We discuss in detail how non-Markovian open system dynamics can be described in terms of quantum jumps [J. Piilo et al., Phys. Rev. Lett. 100, 180402 (2008)]. Our results demonstrate that it is possible to have a jump description contained…

Quantum Physics · Physics 2009-06-25 J. Piilo , K. Harkonen , S. Maniscalco , K. -A. Suominen

The development and use of Monte Carlo algorithms plays a visible role in the study of non-Markovian quantum dynamics due to the provided insight and powerful numerical methods for solving the system dynamics. In the Markovian case, the…

Quantum Physics · Physics 2011-10-13 Kimmo Luoma , Kalle-Antti Suominen , Jyrki Piilo

The Monte Carlo wave function method or the quantum trajectory/jump approach is a powerful tool to study dissipative dynamics governed by the Markovian master equation, in particular for high-dimensional systems and when it is difficult to…

Quantum Physics · Physics 2009-11-13 X. L. Huang , H. Y. Sun , X. X. Yi

The quantum jump approach allows to characterize the stochastic dynamics associated to an open quantum system submitted to a continuous measurement action. In this paper we show that this formalism can consistently be extended to…

Quantum Physics · Physics 2013-09-03 Adrian A. Budini

It is shown that the exact dynamics of a composite quantum system can be represented through a pair of product states which evolve according to a Markovian random jump process. This representation is used to design a general Monte Carlo…

Quantum Physics · Physics 2007-05-23 Heinz-Peter Breuer

The dynamics of a non-Markovian open quantum system described by a general time-local master equation is studied. The propagation of the density operator is constructed in terms of two processes: (i) deterministic evolution and (ii)…

Quantum Physics · Physics 2010-01-21 Kari Harkonen

Stochastic unravelings provide a useful way to represent open quantum system dynamics in terms of pure state realizations, and have been widely studied both from a fundamental and from a computational point of view. They were initially…

Quantum Physics · Physics 2026-05-11 Federico Settimo , Jyrki Piilo

We propose a modified non-Markovian quantum jump method to overcome the obstacle of dramatically increased trajectory number in conventional quantum trajectory simulations. In our method the trajectories are classified into the trajectory…

Quantum Physics · Physics 2025-12-17 Huanyuan Zhang , Jiasen Jin

Simulation methods based on stochastic realizations of state vector evolutions are commonly used tools to solve open quantum system dynamics, both in the Markovian and non-Markovian regime. Here, we address the question of waiting time…

Quantum Physics · Physics 2012-09-10 Kimmo Luoma , Kari Härkönen , Sabrina Maniscalco , Kalle-Antti Suominen , Jyrki Piilo

Open quantum systems are ubiquitous in nature and central to quantum technologies. A common description of their dynamics is given by the celebrated Lindblad master equation, which can be generalized to the non-Markovian scenario. In this…

Quantum Physics · Physics 2025-01-15 Miralem Sinanović , Alessandro Ciani , Shai Machnes , Frank K. Wilhelm

Stochastic methods with quantum jumps are often used to solve open quantum system dynamics. Moreover, they provide insight into fundamental topics, as the role of measurements in quantum mechanics and the description of non-Markovian memory…

Quantum Physics · Physics 2020-05-18 Andrea Smirne , Matteo Caiaffa , Jyrki Piilo

Recently, a large class of quantum non-Markovian piecewise dynamics for an open quantum system obeying closed evolution equations has been introduced [B. Vacchini, Phys. Rev. Lett. 117, 230401 (2016)]. These dynamics have been defined in…

Quantum Physics · Physics 2018-01-17 Salvatore Lorenzo , Francesco Ciccarello , G. Massimo Palma , Bassano Vacchini

A general method is developed which enables the exact treatment of the non-Markovian quantum dynamics of open systems through a Monte Carlo simulation technique. The method is based on a stochastic formulation of the von Neumann equation of…

Quantum Physics · Physics 2007-05-23 Heinz-Peter Breuer

Controlling dynamical fluctuations in open quantum systems is essential both for our comprehension of quantum nonequilibrium behaviour and for its possible application in near-term quantum technologies. However, understanding these…

Statistical Mechanics · Physics 2020-10-07 Federico Carollo , Carlos Pérez-Espigares

We utilize the novel non-Markovian quantum jump (NMQJ) approach to stochastically simulate exciton dynamics derived from a time-convolutionless master equation. For relevant parameters and time scales, the time-dependent, oscillatory…

Quantum Physics · Physics 2009-12-07 Patrick Rebentrost , Rupak Chakraborty , Alan Aspuru-Guzik

Non-Markovian evolution of an open quantum system can be `unraveled' into pure state trajectories generated by a non-Markovian stochastic (diffusive) Schr\"odinger equation, as introduced by Di\'osi, Gisin, and Strunz. Recently we have…

Quantum Physics · Physics 2009-11-10 Jay Gambetta , T. Askerud , H. M. Wiseman

Non-Markovianity may significantly speed up quantum dynamics when the system interacts strongly with an infinite large reservoir, of which the coupling spectrum should be fine-tuned. The potential benefits are evident in many dynamics…

Quantum Physics · Physics 2022-02-07 Xiangyi Meng , Yang Li , Jian-Wei Zhang , Hong Guo , H. Eugene Stanley

We study the quantum dynamics of a many-body system subject to coherent evolution and coupled to a non-Markovian bath. We propose a technique to unravel the non-Markovian dynamics in terms of quantum jumps, a connection that was so far only…

Non-Markovian reduced dynamics of an open system is investigated. In the case the initial state of the reservoir is the vacuum state, an approximation is introduced which makes possible to construct a reduced dynamics which is completely…

Quantum Physics · Physics 2017-08-23 Andrzej Kossakowski , Rolando Rebolledo

Understanding the precise interaction mechanisms between quantum systems and their environment is crucial for advancing stable quantum technologies, designing reliable experimental frameworks, and building accurate models of real-world…

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