2019 **Abstract:** A new approach to theory and simulation of the non-Markovian dynamics of open quantum systems is presented. It is based on identification of a parameter which is uniformly bounded on wide time intervals: the occupation of the virtual cloud of quanta. By 'virtual' we denote those bath excitations which were emitted by the open system, but eventually will be reabsorbed before any measurement of the bath state. A useful property of the virtual cloud is that the number of its quanta is expected to saturate on long…

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“…On the contrary, beyound the Markovian approximation, every excitation which is emitted by OQS can always be reabsorbed back (return to OQS) after a time interval t with some amplitude C q (t). This amplitude slowly decreases as a certain inverse power C q (t) ∝ t −p , p > 0 [43][44][45]. As a result, one fails to introduce the concept of full-fledged non-Markovian quantum jumps [46,47]: they appear to be never complete in finite time.…”

confidence: 99%

“…It allows one to consider a Markovian dissipative dynamics of the finite-dimensional extended system consisting of the original system and its effective environment. approach is to use numerical techniques such as the non-Markovian quantum state diffusion [21][22][23][24], the hierarchical equations of motion [25,26], the time-evolving matrix product operators [27], the method based on optimized auxiliary oscillators [28], the dressed quantum trajectories method [29], the Dirac-Frenkel time-dependent variational approach with the Davydov ansatz [30], the time-evolving density with orthogonal polynomials algorithm [31,32], just to name a few. At the same time, open quantum systems studied in real experimental conditions are usually too complex and not always can be described with existing numerical methods aimed at describing exemplary models.…”

confidence: 99%

“…There are several reasons for this. First of all, such stochastic methods as the non-Markovian stochastic Schrodinger equations (NMSSE) [3][4][5][6], the hierarchy of the pure states methods (HOPS) [7], and the recently proposed approach of the dressed quantum trajectories [8],…”

confidence: 99%

“…In this work we present a solution to the aforementioned two problems of the fermionic bath case, and derive a fermionic variant of the quantum state diffusion, namely of its variant called the dressed quantum trajectories [8].…”

confidence: 99%