Entropy Dynamics of Phonon Quantum States Generated by Optical Excitation of a Two-Level System
arXiv:2003.01471 · doi:10.3390/e22030286
Abstract
In quantum physics, two prototypical model systems stand out due to their wide range of applications. These are the two-level system (TLS) and the harmonic oscillator. The former is often an ideal model for confined charge or spin systems and the latter for lattice vibrations, i.e., phonons. Here, we couple these two systems, which leads to numerous fascinating physical phenomena. Practically, we consider different optical excitations and decay scenarios of a TLS, focusing on the generated dynamics of a single phonon mode that couples to the TLS. Special emphasis is placed on the entropy of the different parts of the system, predominantly the phonons. While, without any decay, the entire system is always in a pure state, resulting in a vanishing entropy, the complex interplay between the single parts results in non-vanishing respective entanglement entropies and non-trivial dynamics of them. Taking a decay of the TLS into account leads to a non-vanishing entropy of the full system and additional aspects in its dynamics. We demonstrate that all aspects of the entropy's behavior can be traced back to the purity of the states and are illustrated by phonon Wigner functions in phase space.
References in corpus (6)
- Reconstruction of non-classical cavity field states with snapshots of their decoherence
- Phonon induced Rabi frequency renormalization of optically driven single InGaAs/GaAs quantum dots
- Change of decoherence scenario and appearance of localization due to reservoir anharmonicity
- Acoustic Phonon Sideband Dynamics During Polaron Formation in a Single Quantum Dot
- Influence of excited state decay and dephasing on phonon quantum state preparation
- Two-level System coupled to Phonons: Full Analytical Solution