23–27 Jun 2025
Università degli Studi Federico II, Napoli
Europe/Rome timezone

Quantum Langevin equation for finite-time interactions

27 Jun 2025, 14:55
15m
1st floor, room 4 (University of Naples "Federico II")

1st floor, room 4

University of Naples "Federico II"

Corso Umberto I, 40 - 80138 Napoli (NA)

Speaker

Yuta Uenaga (Kyushu University)

Description

In this talk, we consider the quantum Langevin equation for the Caldeira-Leggett model with an arbitrary time-dependent coupling constant. We solve this equation exactly by employing a train of Dirac-delta switchings. This method also enables us to visualize the memory effect in the environment. Furthermore, we compute the two-time correlation functions of the system's quadratures and show that the discrete-time Fourier transform is well-suited for defining spectral densities, as the Dirac-delta switchings turn continuous functions into discretized samples. Lastly, We demonstrate the applicability of this method in a relativistic framework.

Primary author

Yuta Uenaga (Kyushu University)

Presentation materials

There are no materials yet.