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Via the hierarchy of correlations, we study the strongly interacting Fermi-Hubbard model in the Mott insulator state and couple it to a Markovian environment which constantly monitors the particle numbers $\hat n_\mu^\uparrow$ and $\hat…

强关联电子 · 物理学 2019-04-10 Friedemann Queisser , Ralf Schützhold

An ultracold gas of interacting fermionic atoms in a three-dimensional optical lattice is considered, where the lattice potential strength is periodically modulated. This non-equilibrium system is non-perturbatively described by means of a…

量子物理 · 物理学 2016-03-07 Regine Frank

The real-time dynamics of the Fermi-Hubbard model, driven out of equilibrium by quenching or ramping the interaction parameter, is studied within the framework of the nonequilibrium self-energy functional theory. A dynamical impurity…

强关联电子 · 物理学 2016-06-03 Felix Hofmann , Martin Eckstein , Michael Potthoff

We present a formalism for strongly correlated electrons systems which consists in a local approximation of the dynamical three-leg interaction vertex. This vertex is self-consistently computed with a quantum impurity model with dynamical…

强关联电子 · 物理学 2016-04-01 Thomas Ayral , Olivier Parcollet

We study how strongly correlated electrons on a dissipative lattice evolve from equilibrium when driven by a constant electric field, focusing on the extent of the linear regime and hysteretic non-linear effects at higher fields. We access…

强关联电子 · 物理学 2015-06-18 Jiajun Li , Camille Aron , Gabriel Kotliar , Jong E Han

We study the dynamics of the Fermi-Hubbard model driven by a time-periodic modulation of the interaction within nonequilibrium Dynamical Mean-Field Theory. For moderate interaction, we find clear evidence of thermalization to a genuine…

强关联电子 · 物理学 2018-05-09 Francesco Peronaci , Marco Schiró , Olivier Parcollet

We study the single-band Hubbard model in the presence of a large spatially uniform electric field out of equilibrium. Using the Keldysh nonequilibrium formalism, we solve the problem using perturbation theory in the Coulomb interaction U.…

强关联电子 · 物理学 2014-01-17 Alexander V. Joura , J. K. Freericks , Alexander I. Lichtenstein

Via the hierarchy of correlations, we study the Mott insulator phase of the Fermi-Hubbard model in the limit of strong interactions and derive a quantum Boltzmann equation describing its relaxation dynamics. In stark contrast to the weakly…

量子物理 · 物理学 2019-11-27 Friedemann Queisser , Ralf Schützhold

Analytical results on the correlation functions of strongly correlated many-body systems are rare in the literature and their importance cannot be overstated. We present determinant representations for the space-, time-, and…

强关联电子 · 物理学 2024-11-12 Ovidiu I. Patu , Andreas Klumper , Angela Foerster

We investigate the time evolution of a Fermi-Hubbard model with long range hopping following a sudden quench of the local interactions among different spin species. The quasi-particle spectrum consists of gapped low-energy levels while the…

量子物理 · 物理学 2024-07-09 Daniel Arrufat-Vicente , Nicolò Defenu

We present a nonequilibrium strong-coupling approach to inhomogeneous systems of ultracold atoms in optical lattices. We demonstrate its application to the Mott-insulating phase of a two-dimensional Fermi-Hubbard model in the presence of a…

强关联电子 · 物理学 2014-02-25 A. Dirks , K. Mikelsons , H. R. Krishnamurthy , J. K. Freericks

A model for nonequilibrium dynamical mean-field theory is constructed for the infinite dimensional Hubbard lattice. We impose nonequilibrium by expressing the physical orbital as a superposition of a left-($L$) moving and right-($R$) moving…

强关联电子 · 物理学 2009-04-23 R. J. Heary , J. E. Han

A new supersymmetric model for electrons with generalized hopping terms and Hubbard interaction on a one-dimensional lattice is solved by means of the Bethe Ansatz. We investigate the phase diagram of this model by studying the ground state…

凝聚态物理 · 物理学 2009-10-28 Gerald Bedürftig , Holger Frahm

We investigate the existence of quantum {\it quasi} phase transitions for an ensemble of ultracold bosons in a one-dimensional optical lattice, performing exact diagonalizations of the Bose-Hubbard Hamiltonian. When an external parabolic…

凝聚态物理 · 物理学 2009-11-10 G. Pupillo , E. Tiesinga , C. J. Williams

We use nonequilibrium dynamical mean-field theory in combination with a recently implemented strong-coupling impurity solver to investigate the relaxation of a Mott insulator after a laser excitation with frequency comparable to the Hubbard…

强关联电子 · 物理学 2013-05-29 Martin Eckstein , Philipp Werner

We study the asymmetric Hubbard model at half-filling as a generic model to describe the physics of two species of repulsively interacting fermionic cold atoms in optical lattices. We use Dynamical Mean Field Theory to obtain the…

强关联电子 · 物理学 2012-01-11 E. A. Winograd , R. Chitra , M. J. Rozenberg

We examine the nature of the transition to the antiferromagnetically ordered state in the half-filled three-dimensional Hubbard model using the dual-fermion multiscale approach. Consistent with analytics, in the weak-coupling regime we find…

We describe the behavior of a system of fermionic atoms loaded in a bipartite one-dimensional optical lattice that is under the action of an external time-periodic driving force. By using Floquet theory, an effective model with renormalized…

量子气体 · 物理学 2014-09-05 M. Di Liberto , D. Malpetti , G. I. Japaridze , C. Morais Smith

We perform an ab-initio comparison between nonequilibrium dynamical mean-field theory and optical lattice experiments by studying the time evolution of double occupations in the periodically driven Fermi-Hubbard model. For off-resonant…

Using the strong coupling diagram technique, we find three phases of the half-filled isotropic Hubbard model on a triangular lattice at finite temperatures. The weak-interaction ($U\lesssim5t$) and strong-interaction ($U\gtrsim9t$) phases…

强关联电子 · 物理学 2025-04-10 A. Sherman
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