Quantum Dynamics of Dissipative Polarizable Media
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909596424077312 |
|---|---|
| author | Rodriguez, Frank Ernesto Quintela Lafiosca, Piero Giovannini, Tommaso Cappelli, Chiara |
| author_facet | Rodriguez, Frank Ernesto Quintela Lafiosca, Piero Giovannini, Tommaso Cappelli, Chiara |
| contents | Classical polarizable approaches have become the gold standard for simulating complex systems and processes in the condensed phase. These methods describe intrinsically dissipative polarizable media, requiring a formal definition within the framework of open quantum systems. We present a Hamiltonian formulation for the quantum dynamics of polarizable sources based on a generalized theory of the damped harmonic oscillator, using pseudo-boson theory to characterize their coherent state dynamics. We then apply our theory to the study of the optical response of two plasmonic systems. Furthermore, by exploiting the phase space formulation of quantum mechanics and the integrability of quadratic Hamiltonians, we derive a self-consistent relation for the emitted electric field of the polarizable medium under the semiclassical approximation, based on exact formulas for medium polarization. Finally, we derive the master equation describing the open dynamics of a quantum system interacting with the quantum polarizable medium, along with analytical expressions for correlation functions calculated over arbitrary Gaussian states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_12070 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Dynamics of Dissipative Polarizable Media Rodriguez, Frank Ernesto Quintela Lafiosca, Piero Giovannini, Tommaso Cappelli, Chiara Quantum Physics Materials Science Other Condensed Matter Classical polarizable approaches have become the gold standard for simulating complex systems and processes in the condensed phase. These methods describe intrinsically dissipative polarizable media, requiring a formal definition within the framework of open quantum systems. We present a Hamiltonian formulation for the quantum dynamics of polarizable sources based on a generalized theory of the damped harmonic oscillator, using pseudo-boson theory to characterize their coherent state dynamics. We then apply our theory to the study of the optical response of two plasmonic systems. Furthermore, by exploiting the phase space formulation of quantum mechanics and the integrability of quadratic Hamiltonians, we derive a self-consistent relation for the emitted electric field of the polarizable medium under the semiclassical approximation, based on exact formulas for medium polarization. Finally, we derive the master equation describing the open dynamics of a quantum system interacting with the quantum polarizable medium, along with analytical expressions for correlation functions calculated over arbitrary Gaussian states. |
| title | Quantum Dynamics of Dissipative Polarizable Media |
| topic | Quantum Physics Materials Science Other Condensed Matter |
| url | https://arxiv.org/abs/2501.12070 |