Classical Purcell factors and spontaneous emission decay rates in a linear gain medium

• URL: http://arxiv.org/abs/2305.12049v2
• Date: Mon, 29 Jan 2024 22:24:53 GMT
• Title: Classical Purcell factors and spontaneous emission decay rates in a linear gain medium
• Authors: Juanjuan Ren, Sebastian Franke, Becca VanDrunen, and Stephen Hughes
• Abstract summary: The photonic golden rule predicts that the spontaneous emission rate of an atom depends on the projected local density of states. We present a classical light-matter theory to fix this widely used spontaneous emission rate.
• Score: 1.785648159920035
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Recently the photonic golden rule, which predicts that the spontaneous emission rate of an atom depends on the projected local density of states (LDOS), was shown to fail in an optical medium with a linear gain amplifier. We present a classical light-matter theory to fix this widely used spontaneous emission rate, fully recovering the quantum mechanical rate reported in Franke et al., Phys. Rev. Lett. 127, 013602 (2021). The corrected classical Purcell factor, for media containing linear amplifiers, is obtained in two different forms, both of which can easily be calculated in any standard classical Maxwell solver. We also derive explicit analytical results in terms of quasinormal modes, which are useful for studying practical cavity structures in an efficient way, including the presence of local field effects for finite-size dipole emitters embedded inside lossy or gain materials (using a real cavity model). Finally, we derive a full classical correspondence from the viewpoint of quantized quasinormal modes in the bad cavity limit. Example numerical calculations are shown for coupled loss-gain microdisk resonators, showing excellent agreement between few mode expansions and full numerical dipole simulations.

Related papers

• Cavity QED materials: Comparison and validation of two linear response theories at arbitrary light-matter coupling strengths [41.94295877935867]
  We develop a linear response theory for materials collectively coupled to a cavity that is valid in all regimes of light-matter coupling. We compare two different approaches to obtain thermal Green functions. We provide a detailed application of the theory to the Quantum Hall effect and to a collection of magnetic models.
  arXiv  Detail & Related papers  (2024-06-17T18:00:07Z)
• Quantum electrodynamics of lossy magnetodielectric samples in vacuum: modified Langevin noise formalism [55.2480439325792]
  We analytically derive the modified Langevin noise formalism from the established canonical quantization of the electromagnetic field in macroscopic media. We prove that each of the two field parts can be expressed in term of particular bosonic operators, which in turn diagonalize the electromagnetic Hamiltonian.
  arXiv  Detail & Related papers  (2024-04-07T14:37:04Z)
• Quench dynamics in higher-dimensional Holstein models: Insights from Truncated Wigner Approaches [41.94295877935867]
  We study the melting of charge-density waves in a Holstein model after a sudden switch-on of the electronic hopping. A comparison with exact data obtained for a Holstein chain shows that a semiclassical treatment of both the electrons and phonons is required in order to correctly describe the phononic dynamics.
  arXiv  Detail & Related papers  (2023-12-19T16:14:01Z)
• Real-time dynamics of false vacuum decay [49.1574468325115]
  We investigate false vacuum decay of a relativistic scalar field in the metastable minimum of an asymmetric double-well potential. We employ the non-perturbative framework of the two-particle irreducible (2PI) quantum effective action at next-to-leading order in a large-N expansion.
  arXiv  Detail & Related papers  (2023-10-06T12:44:48Z)
• Numerical Framework for Modeling Quantum Electromagnetic Systems Involving Finite-Sized Lossy Dielectric Objects in Free Space [2.4697418743064667]
  We propose and develop a novel numerical framework for the modified Langevin noise formalism. Specifically, we utilize the finite-element method to numerically solve plane-wave-scattering and point-source-radiation problems. It is numerically proved, for the first time, that one can retrieve the conventional expression of the spontaneous emission rate.
  arXiv  Detail & Related papers  (2023-02-13T07:06:08Z)
• Gauge-invariant theory of quantum light-matter interactions in arbitrary media [0.0]
  We derive rigorous models of ultrastrong light-matter interactions in structured photonic environments with no gauge ambiguity. We show how observables in mode-truncated systems can be calculated without ambiguity by using a simple gauge-invariant photodetection model.
  arXiv  Detail & Related papers  (2022-08-24T23:45:00Z)
• Spectral density reconstruction with Chebyshev polynomials [77.34726150561087]
  We show how to perform controllable reconstructions of a finite energy resolution with rigorous error estimates. This paves the way for future applications in nuclear and condensed matter physics.
  arXiv  Detail & Related papers  (2021-10-05T15:16:13Z)
• Fermi's golden rule for spontaneous emission in absorptive and amplifying media [2.2399170518036917]
  We demonstrate a fundamental breakdown of the photonic spontaneous emission formula derived from Fermi's golden rule, in absorptive and amplifying media. We derive a corrected Fermi's golden rule and master equation for a quantum two-level system that yields a quantum pumping term and a modified decay rate that is net positive.
  arXiv  Detail & Related papers  (2021-02-25T17:21:22Z)
• Semi-classical quantisation of magnetic solitons in the anisotropic Heisenberg quantum chain [21.24186888129542]
  We study the structure of semi-classical eigenstates in a weakly-anisotropic quantum Heisenberg spin chain. Special emphasis is devoted to the simplest types of solutions, describing precessional motion and elliptic magnetisation waves.
  arXiv  Detail & Related papers  (2020-10-14T16:46:11Z)
• Fluctuation-dissipation theorem and fundamental photon commutation relations in lossy nanostructures using quasinormal modes [2.4469484645516837]
  We provide theory and formal insight on the Green function quantization method for absorptive and dispersive spatial-inhomogeneous media. We show that a fundamental Green function identity, which appears in the fundamental commutation relation of the electromagnetic fields, is also valid in the limit of non-absorbing media.
  arXiv  Detail & Related papers  (2020-06-16T11:24:03Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.