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Kadanoff-Baym Equations for Interacting Systems with Dissipative Lindbladian Dynamics.
1Dipartimento di Fisica, <a href="https://ror.org/02p77k626">Università di Roma Tor Vergata</a>, Via della Ricerca Scientifica 1, 00133 Rome, Italy and <a href="https://ror.org/025rrx658">INFN</a>, Sezione di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133 Rome, Italy.
This study introduces a new quantum simulation method for dissipative systems. It enables accurate real-time analysis of electronic, transport, and optical properties in materials.
Area of Science:
- Quantum mechanics
- Condensed matter physics
- Materials science
Background:
- Nonequilibrium systems exhibiting unique quantum properties are crucial in modern science.
- Nonequilibrium Green's functions (NEGF) theory is a key method for studying driven systems, using diagrammatic techniques for correlations.
Purpose of the Study:
- To develop a second-quantization approach for dissipative NEGF theory.
- To extend Keldysh formalism and Kadanoff-Baym equations for Lindbladian dynamics.
- To enable correlated, real-time simulations of quantum systems.
Main Methods:
- Reformulated Keldysh ideas within a second-quantization framework.
- Extended Kadanoff-Baym equations to incorporate Lindbladian dynamics.
- Generalized diagrammatic perturbation theory for many-body Lindblad operators.
Main Results:
- Developed a novel theoretical formalism for dissipative quantum systems.
- Enabled real-time simulations incorporating both correlations and dissipation.
- The approach is applicable to studying transient and steady-state properties.
Conclusions:
- The new method provides a powerful tool for investigating complex quantum phenomena.
- It allows for detailed exploration of electronic, transport, and optical properties.
- This opens avenues for simulating and understanding a wider range of material behaviors.
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