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Variational approach to open quantum systems with long-range competing interactions.

Dawid A Hryniuk1,2, Marzena H Szymańska1

  • 1Department of Physics and Astronomy, University College London, London, UK.

Communications Physics
|February 11, 2026
PubMed
Summary

Researchers developed a new computational method for simulating quantum many-body systems with long-range interactions. This approach reveals emergent magnetic order in spin lattices, advancing the study of complex quantum phenomena.

Keywords:
Quantum mechanicsTheoretical physics

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Computational physics

Background:

  • Emergent phenomena arise from interactions at different length scales.
  • Simulating open quantum many-body systems with long-range interactions is computationally challenging.
  • Existing methods struggle to handle complex, long-ranged interactions at scale.

Purpose of the Study:

  • To develop an efficient and scalable computational method for simulating dissipative quantum lattices.
  • To investigate the non-equilibrium dynamics and steady states of spin lattices with competing interactions.
  • To overcome limitations in simulating complex quantum systems with long-range interactions.

Main Methods:

  • Combined matrix product operators and time-dependent variational Monte Carlo.
  • Developed a novel algorithm for dissipative quantum lattices in one and two dimensions.
  • Simulated spin-1/2 lattices with algebraically decaying interactions up to N=200 sites.

Main Results:

  • Revealed the emergence of spatially-modulated magnetic order.
  • Demonstrated the method's effectiveness for non-equilibrium dynamics and steady states.
  • Showcased the algorithm's versatility and scalability for complex quantum systems.

Conclusions:

  • The new computational approach enables accurate simulations of open quantum many-body systems with long-range interactions.
  • This method advances the understanding of non-equilibrium properties in various experimental quantum systems.
  • Offers promising prospects for studying Rydberg atoms, dipolar molecules, and trapped ions.