Work

Non-Markovian stochastic Schrödinger equation: Matrix-product-state approach to the hierarchy of pure states

Year: 2022

Type: article

Abstract: We derive a stochastic hierarchy of matrix product states (HOMPS) for non-Markovian dynamics in an open quantum system at finite temperature, which is numerically exact and efficient. HOMPS is obtained from the recently developed stochastic hierarchy of pure states (HOPS) by expressing HOPS in terms of formal creation and annihilation operators. The resulting stochastic first-order differential equation is then formulated in terms of matrix product states and matrix product operators. In this way the exponential complexity of HOPS can be reduced to scale polynomial with the number of particles. The validity and efficiency of HOMPS is demonstrated for the spin-boson model and long chains where each site is coupled to a structured, strongly non-Markovian environment.

Source: Physical Review A

DOI: 10.1103/physreva.105.l030202

Authors: Xing Gao, Jiajun Ren, Alexander Eisfeld, Zhigang Shuai

Institutions: Sun Yat-sen University, Tsinghua University, Max Planck Institute for the Physics of Complex Systems

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Deutsche Forschungsgemeinschaft, National Natural Science Foundation of China, Ministry of Science and Technology of the People's Republic of China

Awards: G275036311, G3107149048, G398204835, G7889678397