Impact of the phonon environment on the nonlinear quantum-dot-cavity
QED. I. Path-integral approach
- URL: http://arxiv.org/abs/2306.17722v1
- Date: Fri, 30 Jun 2023 15:08:29 GMT
- Title: Impact of the phonon environment on the nonlinear quantum-dot-cavity
QED. I. Path-integral approach
- Authors: L.S. Sirkina and E.A. Muljarov
- Abstract summary: We show a strong influence of the phonon environment on the coherent dynamics of the quantum dot (QD)-cavity system.
We present a semi-analytically exact path-based approach to the nonlinear optical response of this system.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We demonstrate a strong influence of the phonon environment on the coherent
dynamics of the quantum dot (QD)-cavity system in the quantum strong coupling
regime. This regime is implemented in the nonlinear QD-cavity QED and can be
reliably measured by heterodyne spectral interferometry. We present a
semi-analytic asymptotically exact path integral-based approach to the
nonlinear optical response of this system, which includes two key ingredients:
Trotter's decomposition and linked-cluster expansion. Applied to the
four-wave-mixing optical polarization, this approach provides access to
different excitation and measurement channels, as well as to higher-order
optical nonlinearities and quantum correlators. Furthermore, it allows us to
extract useful analytic approximations and analyze the nonlinear optical
response in terms of quantum transitions between phonon-dressed states of the
anharmonic Jaynes-Cummings (JC) ladder. Being well described by these
approximations at low temperatures and small exciton-cavity coupling, the exact
solution deviates from them for stronger couplings and higher temperatures,
demonstrating remarkable non-Markovian effects, spectral asymmetry, and strong
phonon renormalization of the JC ladder.
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