Effective two-level approximation of a multi-level system driven by
coherent and incoherent fields
- URL: http://arxiv.org/abs/2110.08894v1
- Date: Sun, 17 Oct 2021 19:03:24 GMT
- Title: Effective two-level approximation of a multi-level system driven by
coherent and incoherent fields
- Authors: Romain Veyron, Vincent Mancois, Jean-Baptiste Gerent, Guillaume
Baclet, Philippe Bouyer and Simon Bernon
- Abstract summary: We describe a multi-level system (MLS) by an effective two-level system (TLS) that best reproduces the coherent and total scattering properties in any saturation regime.
The trust interval of the model is quantified for the D2-line of 87Rb atoms but it could be generalized to any closed transition of a multi-level quantum system.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The numerical simulation of multiple scattering in dense ensembles is the
mostly adopted solution to predict their complex optical response. While the
scalar and vectorial light mediated interactions are accurately taken into
account, the computational complexity still limits current simulations to the
low saturation regime and ignores the internal structure of atoms. Here, we
propose to go beyond these restrictions, at constant computational cost, by
describing a multi-level system (MLS) by an effective two-level system (TLS)
that best reproduces the coherent and total scattering properties in any
saturation regime. The correspondence of our model is evaluated for different
experimentally realistic conditions such as the modification of the driving
field polarization, the presence of stray magnetic fields or an incoherent
resonant electromagnetic field background. The trust interval of the model is
quantified for the D2-line of 87Rb atoms but it could be generalized to any
closed transition of a multi-level quantum system.
Related papers
- Variational approach to light-matter interaction: Bridging quantum and semiclassical limits [0.0]
We present a time-dependent variational approach to simulate the dynamics of light-matter systems.
The variational approach is applicable to a variety of quantum models of light-matter interaction.
arXiv Detail & Related papers (2024-07-17T00:53:33Z) - A mixed perturbative-nonperturbative treatment for strong light-matter
interactions [0.0]
We present a Lindblad-like master equation for the emitter dynamics when coupled to a general nanophotonic structure.
We illustrate the power and validity of our approach through numerical simulations in three different setups.
arXiv Detail & Related papers (2023-12-23T18:54:31Z) - 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) - Unbiasing time-dependent Variational Monte Carlo by projected quantum
evolution [44.99833362998488]
We analyze the accuracy and sample complexity of variational Monte Carlo approaches to simulate quantum systems classically.
We prove that the most used scheme, the time-dependent Variational Monte Carlo (tVMC), is affected by a systematic statistical bias.
We show that a different scheme based on the solution of an optimization problem at each time step is free from such problems.
arXiv Detail & Related papers (2023-05-23T17:38:10Z) - Accuracy of quantum simulators with ultracold dipolar molecules: a
quantitative comparison between continuum and lattice descriptions [0.6389763375457851]
We compare the continuum description of a one-dimensional gas of dipolar bosons in an optical lattice, and the single-band Bose-Hubbard lattice model that it quantum simulates.
We demonstrate that in regimes of strong DDI and high densities the continuum system fails to recreate the desired lattice model.
Two-band Hubbard models become necessary to reduce the discrepancy observed between continuum and lattice descriptions, but appreciable deviations in the density profile still remain.
arXiv Detail & Related papers (2022-11-17T19:00:00Z) - Calculating non-linear response functions for multi-dimensional
electronic spectroscopy using dyadic non-Markovian quantum state diffusion [68.8204255655161]
We present a methodology for simulating multi-dimensional electronic spectra of molecular aggregates with coupling electronic excitation to a structured environment.
A crucial aspect of our approach is that we propagate the NMQSD equation in a doubled system Hilbert space but with the same noise.
arXiv Detail & Related papers (2022-07-06T15:30:38Z) - On optimization of coherent and incoherent controls for two-level
quantum systems [77.34726150561087]
This article considers some control problems for closed and open two-level quantum systems.
The closed system's dynamics is governed by the Schr"odinger equation with coherent control.
The open system's dynamics is governed by the Gorini-Kossakowski-Sudarshan-Lindblad master equation.
arXiv Detail & Related papers (2022-05-05T09:08:03Z) - Quantum transport and localization in 1d and 2d tight-binding lattices [39.26291658500249]
Particle transport and localization phenomena in condensed-matter systems can be modeled using a tight-binding lattice Hamiltonian.
Here, we experimentally study quantum transport in one-dimensional and two-dimensional tight-binding lattices, emulated by a fully controllable $3 times 3$ array of superconducting qubits.
arXiv Detail & Related papers (2021-07-11T12:36:12Z) - Circuit quantum electrodynamics (cQED) with modular quasi-lumped models [0.23624125155742057]
Method partitions a quantum device into compact lumped or quasi-distributed cells.
We experimentally validate the method on large-scale, state-of-the-art superconducting quantum processors.
arXiv Detail & Related papers (2021-03-18T16:03:37Z) - Dynamics and control of entangled electron-photon states in nanophotonic
systems with time-variable parameters [0.0]
We study the dynamics of strongly coupled nanophotonic systems with time-variable parameters.
In particular, we demonstrate protocols for switching on and off the entanglement between the fermionic and photonic degrees of freedom.
arXiv Detail & Related papers (2020-11-01T01:13:34Z) - Method of spectral Green functions in driven open quantum dynamics [77.34726150561087]
A novel method based on spectral Green functions is presented for the simulation of driven open quantum dynamics.
The formalism shows remarkable analogies to the use of Green functions in quantum field theory.
The method dramatically reduces computational cost compared with simulations based on solving the full master equation.
arXiv Detail & Related papers (2020-06-04T09:41:08Z)
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.