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Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
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Variational Approach to Entangled Non-Hermitian Open Systems.

Jiarui Zeng1, Wen-Qiang Xie2,3, Yang Zhao4

  • 1School of Physics and Optoelectronic Engineering, Hainan University, Haikou 570228, China.

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This study introduces a new computational method for open quantum systems, overcoming limitations of the pseudomode model. The approach efficiently handles complex dynamics and avoids exponential growth in computational space.

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Area of Science:

  • Quantum Physics
  • Computational Chemistry
  • Theoretical Physics

Background:

  • The pseudomode model is effective for nonperturbative dynamics in open quantum systems.
  • A key limitation is the exponential growth of Hilbert space, posing computational challenges.

Purpose of the Study:

  • To develop a novel computational method to overcome the limitations of the pseudomode model.
  • To enable efficient simulation of complex open quantum system dynamics.

Main Methods:

  • Combining the multiple Davydov Ansatz with the Choi-Jamiolkowski isomorphism.
  • Transforming the Lindblad equation into a non-Hermitian Schrödinger equation in a double Hilbert space.
  • Utilizing the time-dependent variational principle for dynamics determination.

Main Results:

  • The proposed method effectively circumvents the exponential Hilbert space growth associated with multiple pseudomodes.
  • Demonstrated capability to handle multibath scenarios and potential intersections.
  • Validated the method's effectiveness through calculations on three distinct cases.

Conclusions:

  • The novel approach offers a computationally efficient tool for studying open quantum dynamics.
  • Potential applicability to various pseudomode models and other dissipative systems.
  • Provides a promising avenue for advancing research in quantum dynamics.