Time-dependent density functional theory for driven lattice gas systems with interactions
نویسندگان
چکیده
منابع مشابه
Time-dependent density functional theory on a lattice
Time-dependent density functional theory (TDDFT) for quantummany-body systems on a lattice is formulated rigorously. We prove the uniqueness of the density-to-potential mapping and demonstrate that a given density is v representable if the initial many-body state and the density satisfy certain well-defined conditions. In particular, we show that for a system evolving from its ground state any ...
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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 ...
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Time-dependent density functional theory (TDDFT) can be viewed as an exact reformulation of time-dependent quantum mechanics, where the fundamental variable is no longer the many-body wave function but the density. This time-dependent density is determined by solving an auxiliary set of noninteracting Schrodinger equations, the Kohn-Sham equations. The nontrivial part of the many-body interacti...
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متن کاملTime-Dependent Density-Functional Theory for Superfluids
A density-functional theory is established for inhomogeneous superfluids at finite temperature, subject to time-dependent external fields in isothermal conditions. After outlining parallelisms between a neutral superfluid and a charged superconductor, Hohenberg-KohnSham-type theorems are proved for gauge-invariant densities and a set of Bogolubov-Popov equations including exchange and correlati...
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ژورنال
عنوان ژورنال: EPL (Europhysics Letters)
سال: 2011
ISSN: 0295-5075,1286-4854
DOI: 10.1209/0295-5075/93/50003