Exact solution of the master equation for interacting quantized fields at finite temperature decay
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909345307951104 |
|---|---|
| author | Hernández-Sánchez, L. Bocanegra-Garay, I. A. Ramos-Prieto, I. Soto-Eguibar, F. Moya-Cessa, H. M. |
| author_facet | Hernández-Sánchez, L. Bocanegra-Garay, I. A. Ramos-Prieto, I. Soto-Eguibar, F. Moya-Cessa, H. M. |
| contents | We analyze the Markovian dynamics of a quantum system involving the interaction of two quantized fields at finite temperature decay. Utilizing superoperator techniques and applying two non-unitary transformations, we reformulate the Lindblad master equation into a von Neumann-like equation with an effective non-Hermitian Hamiltonian. Furthermore, an additional non-unitary transformation is employed to diagonalize this Hamiltonian, enabling us to derive an exact solution to the Lindblad master equation. This method provides a framework to calculate the evolution of any initial state in a fully quantum regime. As a specific example, we present the photon coincidence rates for two indistinguishable photons initially interacting within a cavity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_08428 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact solution of the master equation for interacting quantized fields at finite temperature decay Hernández-Sánchez, L. Bocanegra-Garay, I. A. Ramos-Prieto, I. Soto-Eguibar, F. Moya-Cessa, H. M. Quantum Physics Optics We analyze the Markovian dynamics of a quantum system involving the interaction of two quantized fields at finite temperature decay. Utilizing superoperator techniques and applying two non-unitary transformations, we reformulate the Lindblad master equation into a von Neumann-like equation with an effective non-Hermitian Hamiltonian. Furthermore, an additional non-unitary transformation is employed to diagonalize this Hamiltonian, enabling us to derive an exact solution to the Lindblad master equation. This method provides a framework to calculate the evolution of any initial state in a fully quantum regime. As a specific example, we present the photon coincidence rates for two indistinguishable photons initially interacting within a cavity. |
| title | Exact solution of the master equation for interacting quantized fields at finite temperature decay |
| topic | Quantum Physics Optics |
| url | https://arxiv.org/abs/2410.08428 |