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Real-Time Simulation of Open Quantum Spin Chains with the Inchworm Method.

Geshuo Wang1, Zhenning Cai1

  • 1Department of Mathematics, National University of Singapore, Block S17, 10 Lower Kent Ridge Road, Singapore 119076, Singapore.

Journal of Chemical Theory and Computation
|December 1, 2023
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Summary
This summary is machine-generated.

We developed a new simulation method for open quantum systems, combining the inchworm and modular path integral techniques. This approach effectively suppresses the numerical sign problem in spin chain simulations.

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Area of Science:

  • Quantum physics
  • Computational physics

Background:

  • Simulating open quantum systems is computationally challenging.
  • Spin chains interacting with harmonic baths are common models.

Purpose of the Study:

  • To develop an efficient real-time simulation method for open quantum systems.
  • To address the numerical sign problem in quantum simulations.

Main Methods:

  • Coupling the inchworm method (for spin-boson models) with modular path integral methodology (for spin systems).
  • Adapting diagrammatic methods to represent the coupled approach.
  • Analyzing the asymptotic computational cost.

Main Results:

  • The combined method significantly suppresses the numerical sign problem.
  • The approach is validated through extensive numerical experiments.
  • The computational cost analysis provides insights into scalability.

Conclusions:

  • The novel simulation technique offers an efficient way to study open quantum systems.
  • This method enhances the accuracy and feasibility of real-time quantum simulations.
  • The suppression of the sign problem opens new avenues for research in quantum dynamics.