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Recently, it has been shown that the ground-state energy of a quantum many-body system can be written in terms of cumulants. In this paper we show that the energies of excited states can be expressed similarly. These representations are…

Condensed Matter · Physics 2007-05-23 T. Schork , P. Fulde

We studied a vertical ``quantum dot molecule'', where one of the dots is occupied with electrons and the other with holes. We find that different phases occur in the ground state, depending on the carrier density and the interdot distance.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. Karkkainen , M. Koskinen , M. Manninen , S. M. Reimann

Revivals of initial non-equilibrium states is an ever-present concern for the theory of dynamic thermalization in many-body quantum systems. Here we consider a nonintegrable lattice of interacting spins 1/2 and show how to construct a…

Quantum Physics · Physics 2021-11-24 Igor Ermakov , Boris V. Fine

We examine the exact equation of motion for the relaxation of populations of strongly correlated electrons after a nonequilibrium excitation by a pulsed field, and prove that the populations do not change when the Green's functions have no…

Strongly Correlated Electrons · Physics 2020-06-17 A. F. Kemper , H. R. Krishnamurthy , J. K. Freericks

A detailed analysis of the electro-optical response of single as well as coupled semiconductor quantum dots is presented. This is based on a realistic ---i.e., fully tridimensional--- description of Coulomb-correlated few-electron states,…

Condensed Matter · Physics 2009-11-07 Eliana Biolatti , Irene D'Amico , Paolo Zanardi , Fausto Rossi

We derive a many-site version of the non-Markovian time-convolutionless polaron master equation [S. Jang et al., J. Chem Phys. 129, 101104 (2008)] to describe electronic excitation dynamics in multichromophoric systems. By treating…

Quantum Physics · Physics 2015-05-28 Avinash Kolli , Ahsan Nazir , Alexandra Olaya-Castro

We revisit the problem of quantum localization of many-body states in a quantum dot and the associated problem of relaxation of an excited state in a finite correlated electron system. We determine the localization threshold for the…

Mesoscale and Nanoscale Physics · Physics 2016-03-18 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

The ground state of a cavity-electron system in the ultrastrong coupling regime is characterized by the presence of virtual photons. If an electric current flows through this system, the modulation of the light-matter coupling induced by…

Quantum Physics · Physics 2019-05-16 Mauro Cirio , Nathan Shammah , Neill Lambert , Simone De Liberato , Franco Nori

In quantum dots or molecules with vibrational degrees of freedom the electron-vibron coupling renormalizes the electronic charging energy. For sufficiently strong coupling, the renormalized charging energy can become negative. Here, we…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Teemu Ojanen , Friedrich C. Gethmann , Felix von Oppen

An analytical approach, based on the unitary transformation method, has been developed to study the effect of quantum lattice fluctuations on the ground state of a model electron-phonon system. To study nonadiabatic case, the Green's…

Strongly Correlated Electrons · Physics 2009-11-07 Qin Wang , Hang Zheng

Slow (logarithmic) relaxation from a highly excited state is studied in a Hamiltonian system with many degrees of freedom. The relaxation time is shown to increase as the exponential of the square root of the energy of excitation, in…

Condensed Matter · Physics 2007-05-23 Naoko Nakagawa , Kunihiko Kaneko

We study, by means of the time-dependent Gutzwiller approximation, the out of equilibrium dynamics of a half-filled Hubbard-Holstein model of correlated electrons interacting with local phonons. Inspired by pump-probe experiments, where…

Strongly Correlated Electrons · Physics 2015-06-04 Patrice Andre' , Marco Schiro' , Michele Fabrizio

We present an approach for accurate calculation of exchange energy and total energy for excited states using time independent density functional formalism. This is done by inclusion of gradient correction into the excited state exchange…

Chemical Physics · Physics 2012-01-31 Md. Shamim , Manoj K. Harbola

We study electronic structures of quasi-two-dimensional finite electron systems in high magnetic fields. The solutions in the fractional quantum Hall regime are interpreted as quantum liquids of electrons and off-electron vortices. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Henri Saarikoski , Ari Harju

Using unitary transformations, we express the Kondo lattice Hamiltonian in terms of fermionic operators that annihilate the ground state of the interacting system and that represent the best possible approximations to the actual charged…

Condensed Matter · Physics 2009-10-28 J. M. Prats , F. Lopez-Aguilar

The scattering phase shift of an electron transferred through a quantum dot is studied within a model Hamiltonian, accounting for both the electron--electron interaction in the dot and a finite temperature. It is shown that, unlike in an…

Condensed Matter · Physics 2009-10-28 Yuval Oreg , Yuval Gefen

We investigate detailed balance for a quantum system interacting with thermal radiation within mixed quantum-classical theory. For a two-level system coupled to classical radiation fields, three semiclassical methods are benchmarked: (1)…

Chemical Physics · Physics 2019-07-17 Hsing-Ta Chen , Tao E. Li , Abraham Nitzan , Joseph E. Subotnik

We consider incoherent excitation of multilevel quantum systems, e.g. molecules with multiple vibronic states. We show that (1) the geometric constraints of the matter-field coupling operator guarantee that noise-induced coherences will be…

Quantum Physics · Physics 2023-10-02 Amro Dodin , Timur V. Tscherbul , Paul Brumer

We consider a square lattice configuration of circular gate-defined quantum dots in an unbiased graphene sheet and calculate the electronic, particularly spectral properties of finite albeit actual sample sized systems by means of a…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 A. Pieper , R. L. Heinisch , G. Wellein , H. Fehske

Based on the concept of extended particles recently introduced we perform a Gedankenexperiment accelerating single electrons with photons of suitably low frequency. Accounting for relativistic time dilation due to the acquired velocity and…

Quantum Physics · Physics 2007-05-23 W. A. Hofer