Quantum electrodynamical time-dependent density-functional theory for many-electron systems on a lattice

Autor:	Mehdi Farzanehpour, Ilya V. Tokatly
Rok vydání:	2014
Předmět:	Physics Particle in a one-dimensional lattice Quantum mechanics Nearly free electron model Density functional theory Expectation value Time-dependent density functional theory Condensed Matter Physics Ground state Lattice model (physics) Electronic Optical and Magnetic Materials Electronic density
Zdroj:	Physical Review B. 90
ISSN:	1550-235X 1098-0121
DOI:	10.1103/physrevb.90.195149
Popis:	We present a rigorous formulation of the time-dependent density functional theory for interacting lattice electrons strongly coupled to cavity photons. We start with an example of one particle on a Hubbard dimer coupled to a single photonic mode, which is equivalent to the single mode spin-boson model or the quantum Rabi model. For this system we prove that the electron-photon wave function is a unique functional of the electronic density and the expectation value of the photonic coordinate, provided the initial state and the density satisfy a set of well defined conditions. Then we generalize the formalism to many interacting electrons on a lattice coupled to multiple photonic modes and prove the general mapping theorem. We also show that for a system evolving from the ground state of a lattice Hamiltonian any density with a continuous second time derivative is locally $v$-representable.
Databáze:	OpenAIRE
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