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Population transfer in quantum β-Fermi-Pasta-Ulam-Tsingou chains with fixed ends.

Jinwen Cai1, Xiangyu Xu2, Luis Vasquez1

  • 1School of Science, Hangzhou Dianzi University, Hangzhou 310018, China.

The Journal of Chemical Physics
|June 8, 2026
PubMed
Summary
This summary is machine-generated.

Quantum nonlinear oscillator simulations reveal that chain anharmonicity enhances energy transfer and regularizes wavepacket motion. Tensor-train methods efficiently simulate these complex quantum Fermi-Pasta-Ulam-Tsingou dynamics.

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Area of Science:

  • Quantum dynamics
  • Nonlinear systems
  • Computational physics

Background:

  • The Fermi-Pasta-Ulam-Tsingou (FPUT) problem investigates energy redistribution in nonlinear systems.
  • Understanding quantum FPUT dynamics is crucial for fields like condensed matter physics and quantum information.
  • Previous simulations faced computational challenges for large quantum systems.

Purpose of the Study:

  • To simulate quantum Fermi-Pasta-Ulam-Tsingou (FPUT) chain dynamics using numerically accurate tensor-train (TT) methods.
  • To investigate the effects of chain anharmonicity on population dynamics and energy transfer.
  • To demonstrate the efficiency of TT methods for quantum FPUT simulations.

Main Methods:

  • Numerically accurate tensor-train (TT) simulations.
  • Propagation of quantum FPUT chain dynamics (10-30 oscillators).
  • Timescale analysis from 18 to 60 fundamental vibrational periods.

Main Results:

  • Chain anharmonicity creates new energy-transfer pathways.
  • Anharmonicity accelerates initial ballistic energy propagation.
  • Reduced recurrence periods and regularized wavepacket motion observed compared to the harmonic limit.

Conclusions:

  • The study demonstrates the high efficiency of TT methods for quantum FPUT dynamics.
  • Anharmonicity significantly impacts energy transfer and dynamics in quantum FPUT chains.
  • This work provides a proof-of-principle for advanced TT simulations in quantum many-body systems.