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We study the Hubbard model on the honeycomb lattice in the vicinity of the quantum critical point by means of a multiband formulation of the Dual Fermion approach. Beyond the strong local correlations of the dynamical mean field, critical…

Strongly Correlated Electrons · Physics 2018-04-04 Daniel Hirschmeier , Hartmut Hafermann , Alexander I. Lichtenstein

It is important that any dynamics method approaches the correct population distribution at long times. In this paper, we derive a one-body reduced density matrix dynamics for electrons in energetic contact with a bath. We obtain a…

Quantum Physics · Physics 2015-04-09 Triet Nguyen , Ravindra Nanguneri , John Parkhill

We show that Monte Carlo sampling of the Feynman diagrammatic series (DiagMC) can be used for tackling hard fermionic quantum many-body problems in the thermodynamic limit by presenting accurate results for the repulsive Hubbard model in…

Strongly Correlated Electrons · Physics 2015-05-13 E. Kozik , K. Van Houcke , E. Gull , L. Pollet , N. Prokof'ev , B. Svistunov , M. Troyer

We induce strong non-local interactions in a 2D Fermi gas in an optical lattice using Rydberg dressing. The system is approximately described by a $t-V$ model on a square lattice where the fermions experience isotropic nearest-neighbor…

We study the scaling behavior of the relaxation dynamics to thermal equilibrium when a quantum system is near the quantum critical point. In particular, we investigate systems whose relaxation dynamics is described by a Lindblad master…

Statistical Mechanics · Physics 2016-05-11 Shuai Yin , Chung-Yu Lo , Pochung Chen

We investigate two-site electronic correlations within generalized Hubbard model, which incorporates the conventional Hubbard model (parameters: $t$ (hopping between nearest neighbours), $U$ (Coulomb repulsion (attraction)) supplemented by…

Strongly Correlated Electrons · Physics 2007-11-06 M. Matlak , B. Grabiec , S. Krawiec

With the aim of describing real-time electron dynamics, we introduce an adiabatic approximation for the equation of motion of the one-body reduced-density matrix (one-matrix). The eigenvalues of the one-matrix, which represent the…

Strongly Correlated Electrons · Physics 2012-09-18 Ryan Requist , Oleg Pankratov

At zero temperature, two-site dynamical mean field theory is applied to the Dynamic Hubbard model. The Dynamic Hubbard model describes the orbital relaxation that occurs when two electrons occupy the same site, by using a two-level boson…

Strongly Correlated Electrons · Physics 2010-12-16 G. Bach , J. E. Hirsch , F. Marsiglio

We study the entanglement dynamics and relaxation properties of a system of two interacting qubits in the two cases (I) two independent bosonic baths and (II) one common bath, at temperature T. The entanglement dynamics is studied in terms…

Quantum Physics · Physics 2017-05-10 G. Campagnano , A. Hamma , U. Weiss

We explore the effects of spatial locality on the dynamics of random quantum systems subject to a Markovian noise. To this end, we study a model in which the system Hamiltonian and its couplings to the noise are random matrices whose…

Quantum Physics · Physics 2024-01-26 Dror Orgad , Vadim Oganesyan , Sarang Gopalakrishnan

The competition between evolution time, interaction strength, and temperature challenges our understanding of many-body quantum systems out-of-equilibrium. Here we consider a benchmark system, the Hubbard dimer, which allows us to explore…

Quantum Physics · Physics 2018-11-14 Marcela Herrera , Krissia Zawadzki , Irene D'Amico

A single transport relaxation rate governs the decay of both, longitudinal and Hall currents in Landau Fermi Liquids (LFL). Breakdown of this fundamental feature, first observed in cuprates and subsequently in other three-dimensional…

Strongly Correlated Electrons · Physics 2018-02-21 H. Barman , M. S. Laad , S. R. Hassan

We identify emergent hydrodynamics governing charge transport in Brownian random circuits with various symmetries, constraints, and ranges of interactions. This is accomplished via a mapping between the averaged dynamics and the low energy…

Strongly Correlated Electrons · Physics 2024-05-31 Olumakinde Ogunnaike , Johannes Feldmeier , Jong Yeon Lee

Using the fractional moment method it is shown that, within the Hartree-Fock approximation for the Disordered Hubbard Hamiltonian, weakly interacting Fermions at positive temperature exhibit localization, suitably defined as exponential…

Mathematical Physics · Physics 2021-06-14 Rodrigo Matos , Jeffrey Schenker

We have explored a simple microscopic model to simulate a thermally activated rate process where the associated bath which comprises a set of relaxing modes is not in an equilibrium state. The model captures some of the essential features…

Statistical Mechanics · Physics 2009-10-31 Jyotipratim Ray Chaudhuri , Gautam Gangopadhyay , Deb Shankar Ray

The standard weak-coupling approximations associated to open quantum systems have been extensively used in the description of a two-level quantum system, qubit, subjected to relatively weak dissipation compared with the qubit frequency.…

Quantum Physics · Physics 2022-02-15 Wallace S. Teixeira , Fernando L. Semião , Jani Tuorila , Mikko Möttönen

We investigate the interplay between unitary dynamics after a quantum quench and localized dissipation in a noninteracting fermionic chain. In particular, we consider the effect of gain and loss processes, for which fermions are added and…

Statistical Mechanics · Physics 2022-02-09 Vincenzo Alba , Federico Carollo

We present a general proof that non-Hermitian dynamics and Lindblad dynamics with only decay terms are equivalent in the highest particle subspace. We then propose an unbiased method to determine if a system's dynamics in the…

Quantum Physics · Physics 2026-03-20 Kyle Monkman , Mona Berciu

To characterize the generic behavior of open quantum systems, we consider random, purely dissipative Liouvillians with a notion of locality. We find that the positivity of the map implies a sharp separation of the relaxation timescales…

Strongly Correlated Electrons · Physics 2020-03-18 Kevin Wang , Francesco Piazza , David J. Luitz

We analyze the dynamical nearest-neighbor and next-nearest-neighbor spin correlations in the 4-site and 8-site dynamical cluster approximation to the two-dimensional Hubbard model. Focusing on the robustness of these correlations at long…

Strongly Correlated Electrons · Physics 2020-04-22 Philipp Werner , Xi Chen , Emanuel Gull