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Spectral moment sum rules are presented for the inhomogeneous many-body problem described by the fermionic Falicov-Kimball or Hubbard models. These local sum rules allow for arbitrary hoppings, site energies, and interactions. They can be…

Strongly Correlated Electrons · Physics 2011-12-15 J. K. Freericks , V. Turkowski

Competition between ordered phases, and their associated phase transitions, are significant in the study of strongly correlated systems. Here we examine one aspect, the nonequilibrium dynamics of a photoexcited Mott-Peierls system, using an…

Strongly Correlated Electrons · Physics 2016-02-26 Yao Wang , Brian Moritz , Cheng-Chien Chen , Chunjing Jia , Michel van Veenendaal , Thomas P. Devereaux

Collective orders and photo-induced phase transitions in quantum matter can evolve on timescales which are orders of magnitude slower than the femtosecond processes related to electronic motion in the solid. Quantum Boltzmann equations can…

Strongly Correlated Electrons · Physics 2021-08-11 Antonio Picano , Jiajun Li , Martin Eckstein

We present a generalized dynamical mean-field approach for the nonequilibrium physics of a strongly correlated system in the presence of a time-dependent external field. The Keldysh Green's function formalism is used to study the…

Strongly Correlated Electrons · Physics 2007-05-23 P. Schmidt , H. Monien

With a combination of numerical methods, including quantum Monte Carlo, exact diagonalization, and a simplified dynamical mean-field model, we consider the attosecond charge dynamics of electrons induced by strong-field laser pulses in…

Strongly Correlated Electrons · Physics 2021-10-08 Christopher Orthodoxou , Amelle Zaïr , George H. Booth

Nonequilibrium Green's functions represent underutilized means of studying the time evolution of quantum many-body systems. In view of a rising computer power, an effort is underway to apply the Green's functions formalism to the dynamics…

Nuclear Theory · Physics 2008-11-26 Arnau Rios , Pawel Danielewicz

I study the evolution of mean field and linear quantum fluctuations in a toroidal Bose-Einstein condensate, whose interaction strength is quenched from a finite (repulsive) value to zero. The azimuthal equal-time density-density correlation…

Quantum Gases · Physics 2010-10-06 Michael Uhlmann

When an atom or molecule absorbs a high-energy photon, an electron is emitted with a well-defined energy and a highly-symmetric angular distribution, ruled by energy quantization and parity conservation. These rules seemingly break down…

The imaginary-time Green's function is a building block of various numerical methods for correlated electron systems. Recently, it was shown that a model-independent compact orthogonal representation of the Green's function can be…

Strongly Correlated Electrons · Physics 2018-07-09 Naoya Chikano , Junya Otsuki , Hiroshi Shinaoka

We theoretically study the dissipative dynamics of a quantum emitter placed near the planar surface of a metal supporting surface plasmon excitations. The emitter-metal coupling regime can be tuned by varying some control parameters such as…

Mesoscale and Nanoscale Physics · Physics 2010-10-26 Alejandro Gonzalez-Tudela , Ferney J. Rodriguez , Luis Quiroga , Carlos Tejedor

Our current understanding of strongly correlated electron systems is based on a homogeneous framework. Here we take a step going beyond this paradigm by incorporating inhomogeneity from the beginning. Specifying to systems near the Mott…

Strongly Correlated Electrons · Physics 2016-05-12 Jian-Huang She , A. R. Bishop , Alexander V. Balatsky

In our model the electron dynamics are described by a two-state approximation. This might appear a rough approximation since it neglects coupling through excited electronic states and ionization channels. However at high intensity (laser…

Atomic Physics · Physics 2007-05-23 J F McCann , Liang-You Peng , I D Williams

Photoexcited states are relaxed by transferring energy to the environments. In order to study which coupling allows fast energy transfer to lattice vibrations in correlated electron systems, we calculate the time evolutions of the kinetic…

Strongly Correlated Electrons · Physics 2009-04-27 Kenji Yonemitsu , Nobuya Maeshima

We study the excitonic phase transition in a system of the conduction band electrons and valence band holes described by the three-dimensional (3D) extended Falicov-Kimball (EFKM) model with the tunable Coulomb interaction $U$ between both…

Strongly Correlated Electrons · Physics 2015-08-04 V. Apinyan , T. K. Kopec

The effect of electron-electron scattering on the equilibrium properties of few-electron quantum dots is investigated by means of nonequilibrium Green's functions theory. The ground and equilibrium state is self-consistently computed from…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 K. Balzer , M. Bonitz , R. van Leeuwen , N. E. Dahlen , A. Stan

We analyze the thermalization of a photoexcited charge carrier coupled to a single branch of quantum phonons within the Holstein model. To this end, we calculate the far-from-equilibrium time evolution of a pure many-body state and compare…

Strongly Correlated Electrons · Physics 2016-07-21 J. Kogoj , L. Vidmar , M. Mierzejewski , S. A. Trugman , J. Bonca

Based on exactly mapping of a many-body electron-phonon interaction problem onto a one-body problem, we apply the well-established nonequilibrium Green function technique to solve the time-dependent phonon-assisted tunneling at low…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Bing Dong , H. L. Cui , X. L. Lei

Photoemission experiments involve the motion of an electron near a conducting surface. This necessarily generates heat by ohmic losses from eddy currents. This inelastic scattering of the electrons will result in a downward shift in…

Strongly Correlated Electrons · Physics 2007-05-23 Robert Haslinger , Robert Joynt

High-resolution time- and angle-resolved photoemission measurements were conducted on the topological insulator ZrTe5. With strong femtosecond photoexcitation, a possible ultrafast phase transition from a weak to a strong topological…

The correlated Kondo-lattice model is used to describe the interaction of electrons in a single conduction band with localized magnetic moments as well as their mutual repulsion. It is our intension to provide an analytical exact result for…

Strongly Correlated Electrons · Physics 2007-05-23 T. Hickel , J. Roeseler , W. Nolting