Real-Space, Real-Time Approach to Quantum-Electrodynamical
Time-Dependent Density Functional Theory
- URL: http://arxiv.org/abs/2209.00691v1
- Date: Thu, 1 Sep 2022 18:49:51 GMT
- Title: Real-Space, Real-Time Approach to Quantum-Electrodynamical
Time-Dependent Density Functional Theory
- Authors: Justin Malave, Alexander Ahrens, Daniel Pitagora, Cody Covington, and
K\'alm\'an Varga
- Abstract summary: The equations are solved by time propagating the wave function on a tensor product of a Fock-space and real-space grid.
Examples include the coupling strength and light frequency dependence of the energies, wave functions, optical absorption spectra, and Rabi splitting magnitudes in cavities.
- Score: 55.41644538483948
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The Quantum-Electrodynamical Time-Dependent Density Functional Theory
(QED-TDDFT) equations are solved by time propagating the wave function on a
tensor product of a Fock-space and real-space grid. Applications for molecules
in cavities show the accuracy of the approach. Examples include the coupling
strength and light frequency dependence of the energies, wave functions,
optical absorption spectra, and Rabi splitting magnitudes in cavities, as well
as a description of high harmonic generation in cavities.
Related papers
- The Bethe-Salpeter QED wave equation for bound-state computations of
atoms and molecules [0.0]
Quantum electrodynamics has been established by the mid-twentieth century, primarily as a scattering theory.
bound states can be efficiently computed using robust and general methodologies.
A computational framework, with initial applications and future challenges in relation with precision spectroscopy, is also highlighted.
arXiv Detail & Related papers (2022-11-04T11:47:29Z) - Polariton Creation in Coupled Cavity Arrays with Spectrally Disordered Emitters [0.0]
Integrated photonics has been a promising platform for analog quantum simulation of condensed matter phenomena in strongly correlated systems.
We study energy band formation and wavefunction properties in the open quantum Tavis-Cummings-Hubbard framework.
New metrics combined with the Effective Hamiltonian approach prove to be a powerful toolbox for cavity quantum electrodynamical engineering of solid-state systems.
arXiv Detail & Related papers (2021-12-28T05:08:27Z) - Stochastic Variational Approach to Small Atoms and Molecules Coupled to
Quantum Field Modes [55.41644538483948]
We present a variational calculation (SVM) of energies and wave functions of few particle systems coupled to quantum fields in cavity QED.
Examples for a two-dimensional trion and confined electrons as well as for the He atom and the Hydrogen molecule are presented.
arXiv Detail & Related papers (2021-08-25T13:40:42Z) - Spacetime effects on wavepackets of coherent light [24.587462517914865]
We introduce an operational way to distinguish between the overall shift in the pulse wavepacket and its genuine deformation after propagation.
We then apply our technique to quantum states of photons that are coherent in the frequency degree of freedom.
We find that the quantum coherence initially present can enhance the deformation induced by propagation in a curved background.
arXiv Detail & Related papers (2021-06-23T14:20:19Z) - Visualizing spinon Fermi surfaces with time-dependent spectroscopy [62.997667081978825]
We propose applying time-dependent photo-emission spectroscopy, an established tool in solid state systems, in cold atom quantum simulators.
We show in exact diagonalization simulations of the one-dimensional $t-J$ model that the spinons start to populate previously unoccupied states in an effective band structure.
The dependence of the spectral function on the time after the pump pulse reveals collective interactions among spinons.
arXiv Detail & Related papers (2021-05-27T18:00:02Z) - Quantum Simulation of Molecules without Fermionic Encoding of the Wave
Function [62.997667081978825]
fermionic encoding of the wave function can be bypassed, leading to more efficient quantum computations.
An application to computing the ground-state energy and 2-RDM of H$_4$ is presented.
arXiv Detail & Related papers (2021-01-27T18:57:11Z) - Time-Dependent Self Consistent Harmonic Approximation: Anharmonic
nuclear quantum dynamics and time correlation functions [0.0]
We derive an approximate theory for the quantum time evolution of lattice vibrations at finite temperature.
We apply perturbation theory around the static SCHA solution and derive an algorithm to compute efficiently quantum dynamical response functions.
arXiv Detail & Related papers (2020-11-30T16:56:50Z) - 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) - Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit.
We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront.
The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
arXiv Detail & Related papers (2020-03-09T21:27:02Z) - Weak-to-Strong Light-Matter Coupling and Dissipative Dynamics from First
Principles [0.0]
We generalize ab initio quantum-electrodynamical density functional theory to account for dissipative dynamics.
We study excited-state dynamics and spectral responses of benzene and toluene under weak-to-strong light-matter coupling.
arXiv Detail & Related papers (2020-02-24T19:00:00Z)
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.