Application of a time-convolutionless stochastic Schrödinger equation to energy transport and thermal relaxation
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
Quantum stochastic methods based on effective wave functions form a framework for investigating the generally non-Markovian dynamics of a quantum-mechanical system coupled to a bath. They promise to be computationally superior to the master-equation approach, which is numerically expensive for large dimensions of the Hilbert space. Here, we numerically investigate the suitability of a known stochastic Schrödinger equation that is local in time to give a description of thermal relaxation and energy transport. This stochastic Schrödinger equation can be solved with a moderate numerical cost, indeed comparable to that of a Markovian system, and reproduces the dynamics of a system evolving according to a general non-Markovian master equation. After verifying that it describes thermal relaxation correctly, we apply it for the first time to the energy transport in a spin chain. We also discuss a portable algorithm for the generation of the coloured noise associated with the numerical solution of the non-Markovian dynamics.
Details
Original language | English |
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Article number | 395303 |
Journal | Journal of Physics: Condensed Matter |
Volume | 26 |
Issue number | 39 |
Publication status | Published - 2014 |
Peer-reviewed | Yes |
External IDs
Scopus | 84907221116 |
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Keywords
Research priority areas of TU Dresden
DFG Classification of Subject Areas according to Review Boards
Subject groups, research areas, subject areas according to Destatis
ASJC Scopus subject areas
Keywords
- Relaxation, Dekohärenz, Mastergleichung, relaxation, decoherence, master equation