e79dfb7bb9178118e76e5eb736c9beff entropy_a2019v21p1148.pdf 4d6599b605113bd1f3c7baa8a1befa7c2eda141a entropy_a2019v21p1148.pdf 6933a4765cfbfa2e58a73531225ff8bfe97ab71f8a869f9232802b968fdf4103 entropy_a2019v21p1148.pdf Title: Stochastic Schrödinger Equations and Conditional States: A General Non-Markovian Quantum Electron Transport Simulator for THz Electronics Subject: A prominent tool to study the dynamics of open quantum systems is the reduced density matrix. Yet, approaching open quantum systems by means of state vectors has well known computational advantages. In this respect, the physical meaning of the so-called conditional states in Markovian and non-Markovian scenarios has been a topic of recent debate in the construction of stochastic Schrödinger equations. We shed light on this discussion by acknowledging the Bohmian conditional wavefunction (linked to the corresponding Bohmian trajectory) as the proper mathematical object to represent, in terms of state vectors, an arbitrary subset of degrees of freedom. As an example of the practical utility of these states, we present a time-dependent quantum Monte Carlo algorithm to describe electron transport in open quantum systems under general (Markovian or non-Markovian) conditions. By making the most of trajectory-based and wavefunction methods, the resulting simulation technique extends to the quantum regime, the computational capabilities that the Monte Carlo solution of the Boltzmann transport equation offers for semi-classical electron devices. Keywords: conditional states; conditional wavefunction; Markovian and Non-Markovian dynamics; stochastic Schrödinger equation; quantum electron transport Author: Devashish Pandey, Enrique Colomés, Guillermo Albareda and Xavier Oriols Creator: LaTeX with hyperref package Producer: pdfTeX-1.40.18 CreationDate: Mon Nov 25 10:45:44 2019 CET ModDate: Mon Nov 25 10:45:44 2019 CET Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 25 Encrypted: no Page size: 595.276 x 841.89 pts (A4) Page rot: 0 File size: 4183716 bytes Optimized: no PDF version: 1.5 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- XCFXHC+URWPalladioL-Ital Type 1 Custom yes yes no 106 0 CLRNCW+URWPalladioL-Bold Type 1 Custom yes yes no 107 0 YYEYTT+URWPalladioL-Roma Type 1 Custom yes yes no 108 0 ISSJLJ+TimesNewRomanPS-BoldItalicMT Type 1C WinAnsi yes yes no 113 0 MCBCCI+SourceSansRoman-Regular Type 1C Custom yes yes 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