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Stochastic Adaptive Single-Site Time-Dependent Variational Principle.

ABSTRACT: In recent years, the time-dependent variational principle (TDVP) method based on the matrix product state (MPS) wave function formulation has shown its great power in performing large-scale quantum dynamics simulations for realistic chemical systems with strong electron-vibration interactions. In this work, we propose a stochastic adaptive single-site TDVP (SA-1TDVP) scheme to evolve the bond-dimension adaptively, which can integrate the traditional advantages of both the high efficiency of the single-site TDVP (1TDVP) variant and the high accuracy of the two-site TDVP (2TDVP) variant. Based on the assumption that the level statistics of entanglement Hamiltonians, which originate from the reduced density matrices of the MPS method, follows a Poisson or Wigner distribution, as generically predicted by random-matrix theory, additional random singular values are generated to expand the bond-dimension automatically. Tests on simulating the vibrationally resolved quantum dynamics and absorption spectra in the pyrazine molecule and perylene bisimide (PBI) J-aggregate trimer as well as a spin-1/2 Heisenberg chain show that it can be automatic and as accurate as 2TDVP but reduce the computational time remarkably.

SUBMITTER: Xu Y

PROVIDER: S-EPMC8889605 | biostudies-literature | 2022 Feb

REPOSITORIES: biostudies-literature

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Stochastic Adaptive Single-Site Time-Dependent Variational Principle.

Xu Yihe Y Xie Zhaoxuan Z Xie Xiaoyu X Schollwöck Ulrich U Ma Haibo H

JACS Au 20220118 2

In recent years, the time-dependent variational principle (TDVP) method based on the matrix product state (MPS) wave function formulation has shown its great power in performing large-scale quantum dynamics simulations for realistic chemical systems with strong electron-vibration interactions. In this work, we propose a stochastic adaptive single-site TDVP (SA-1TDVP) scheme to evolve the bond-dimension adaptively, which can integrate the traditional advantages of both the high efficiency of the ...[more]

PMID: 35252984

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Dataset Information

Stochastic Adaptive Single-Site Time-Dependent Variational Principle.

Publications

Stochastic Adaptive Single-Site Time-Dependent Variational Principle.

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