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Setting Limits on Supersymmetry Using Simplified Models
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Constructing Integrable Lindblad Superoperators.

Marius de Leeuw1, Chiara Paletta1, Balázs Pozsgay2

  • 1School of Mathematics & Hamilton Mathematics Institute, Trinity College Dublin, Dublin, Ireland.

Physical Review Letters
|July 2, 2021
PubMed
Summary
This summary is machine-generated.

We present a novel method for constructing one-dimensional integrable Lindblad systems, enabling the study of open quantum many-body models. This approach reveals new models with unique dynamics and offers a structured way to analyze solvable quantum systems.

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Area of Science:

  • Quantum mechanics
  • Statistical mechanics
  • Condensed matter physics

Background:

  • Open quantum systems require methods to describe interactions with an environment.
  • Integrable models offer analytical tractability in quantum many-body systems.
  • Markovian environments are a common simplification in quantum dynamics.

Purpose of the Study:

  • To develop a new, structured method for constructing one-dimensional integrable Lindblad systems.
  • To explore novel quantum many-body models interacting with Markovian environments.
  • To provide a framework for studying solvable open quantum systems.

Main Methods:

  • Development of a novel construction technique for integrable Lindblad operators.
  • Application of the method to generate new one-dimensional quantum models.
  • Representation of classical integrable stochastic equations using Lindblad operators.

Main Results:

  • Discovery of new integrable Lindblad models with unique features.
  • Observation of annihilation-diffusion processes and mixed propagation dynamics.
  • Identification of models exhibiting rectified steady-state currents.
  • New representations for known classical integrable stochastic equations.

Conclusions:

  • The developed method provides a structured approach to solvable open quantum systems.
  • The new models offer insights into quantum many-body dynamics in Markovian environments.
  • The technique is extensible to other related physical systems.