Time-evolving matrix product operator method and its applications in open quantum system
نویسندگان
چکیده
Open quantum systems play an important role in developing sciences, and therefore the study of corresponding numerical method is great significance. For open systems, quasi-adiabatic propagator path integral invented 1990s one few numerically exact methods. However, its computational complexity scales exponentially with system size correlation length, application limited practical calculation. In recent years, tensor network have made rapid progress. Representing by makes increase polynomially, thus greatly improving efficiency. Such a new called time-evolving matrix product operator. At very beginning, reduced density represented as state. Then time evolution can be achieved iteratively applying operators to The iterative process amenable standard states compression algorithm, which keeps cost on polynomial scale. operator efficient, fully non-Markovian method, has broad prospect systems. instance, it already used thermalization, heat statistic, transfer optimal control conversely also investigate effect environment. addition, TEMPO naturally related tensor, calculate function efficiently. this article we review applications. We give brief introduction formalism Caldeira-Leggett model. According formalism, demonstrate usage method. basic idea states, show how recast into employing concept operators, use calculation results physical quantities, functions currents spin-boson model illustrate applications
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ژورنال
عنوان ژورنال: Chinese Physics
سال: 2023
ISSN: ['1000-3290']
DOI: https://doi.org/10.7498/aps.72.20222267