Freiburg 2024 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 47: Open Quantum Systems
Q 47.4: Talk
Thursday, March 14, 2024, 11:45–12:00, HS 3219
Stochastic unravelling of Lindblad equation for N coupled oscillators — Juan Moreno1, •Abhijit Pendse1, and Alexander Eisfeld1,2 — 1Max Planck Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, 01187 Dresden, Germany — 2Universität Potsdam, Institut für Physik und Astronomie, Karl-Liebknecht-Str. 24-25, 14476 Potsdam, Germany
The dynamics of a system of N coupled oscillators in presence of gain/loss can be understood by solving the Lindblad master equation numerically. However, the time propagation of the density matrix presents limitations in the computational memory since its size increases exponentially with the number of oscillators N. In this talk, we will present an alternative way to study the dynamics of this system using the quantum state diffusion formalism (QSD). In this formalism, the dynamics of the density matrix is given by a mean over an ensemble of trajectories that are obtained by propagating a stochastic QSD equation. This stochastic equation is written in terms of a non-Hermitian Hamiltonian, whose diagonalization leads to QSD equation that is only coupled via noise correlations. This allows one to do time propagation of N individual oscillators without dealing with the memory limitations that are present in the numerical solution of the Lindblad equation.