Corpus ID: 237502899

Non-Markovian Stochastic Schr\"odinger Equation: Matrix Product State Approach to the Hierarchy of Pure States

  title={Non-Markovian Stochastic Schr\"odinger Equation: Matrix Product State Approach to the Hierarchy of Pure States},
  author={Xing Gao and Jiajun Ren and Alexander Eisfeld and Zhigang Shuai},
  • Xing Gao, Jiajun Ren, +1 author Z. Shuai
  • Published 14 September 2021
  • Physics
We derive a hierarchy of matrix product states (HOMPS) method which is numerically exact and efficient for general non-Markovian dynamics in open quantum system. This HOMPS is trying to attack the exponential wall issue in the recently developed hierarchy of pure states (HOPS) scheme with two steps: a. finding an effective time-dependent Schrödinger equation which is equivalent to HOPS, b. propagating this equation within matrix product states/operators (MPS/MPO) representation. HOMPS works in… Expand

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