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Suppressing the entanglement growth in matrix product state evolution of quantum systems through nonunitary similarity transformations

Publication ,  Journal Article
Nuomin, H; Song, FF; Beratan, DN; Zhang, P
Published in: Physical Review B
September 1, 2022

In strong-coupling regimes, quantum dynamical effects can alter conventional physics described by perturbation theories, but the dynamical simulations of these quantum systems using matrix product states - such as multilevel vibronic systems that are relevant to energy and electron transfer reactions - suffer from rapid entanglement growth during their real-time evolution, impeding explorations of spectra, dynamics, and kinetics. We examine the possibility of using nonunitary transformations to alter dynamical entanglement growth in matrix-product-state simulations of quantum systems, using the spin-boson model to showcase the reduced entanglement. By appropriately choosing the transformation, the entanglement growth rate is suppressed, improving the efficiency of quantum dynamical simulations. Entanglement control is achieved by the transformation-induced biased transitions among the system quantum states, and by "projecting"(approximately) the system quantum state to one of the eigenstates of the system-bath coupling operator, thus controlling the energy exchange between the system and the bath. The transformation can be applied to quantum many-body systems, including spin chains and multilevel vibronic systems; the approach improves the numerical efficiency of the matrix product state simulations.

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Published In

Physical Review B

DOI

EISSN

2469-9969

ISSN

2469-9950

Publication Date

September 1, 2022

Volume

106

Issue

10

Related Subject Headings

  • 51 Physical sciences
  • 40 Engineering
  • 34 Chemical sciences
 

Citation

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Nuomin, H., Song, F. F., Beratan, D. N., & Zhang, P. (2022). Suppressing the entanglement growth in matrix product state evolution of quantum systems through nonunitary similarity transformations. Physical Review B, 106(10). https://doi.org/10.1103/PhysRevB.106.104306
Nuomin, H., F. F. Song, D. N. Beratan, and P. Zhang. “Suppressing the entanglement growth in matrix product state evolution of quantum systems through nonunitary similarity transformations.” Physical Review B 106, no. 10 (September 1, 2022). https://doi.org/10.1103/PhysRevB.106.104306.
Nuomin, H., et al. “Suppressing the entanglement growth in matrix product state evolution of quantum systems through nonunitary similarity transformations.” Physical Review B, vol. 106, no. 10, Sept. 2022. Scopus, doi:10.1103/PhysRevB.106.104306.

Published In

Physical Review B

DOI

EISSN

2469-9969

ISSN

2469-9950

Publication Date

September 1, 2022

Volume

106

Issue

10

Related Subject Headings

  • 51 Physical sciences
  • 40 Engineering
  • 34 Chemical sciences