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We explore the transport properties of an interacting Fermi gas in a three-dimensional optical lattice. The center of mass dynamics of the atoms after a sudden displacement of the trap minimum is monitored for different interaction…

Strongly Correlated Electrons · Physics 2007-12-05 Niels Strohmaier , Yosuke Takasu , Kenneth Günter , Robert Jördens , Michael Köhl , Henning Moritz , Tilman Esslinger

Spin-orbit-coupled two-dimensional electron gases (2DEGs) are a textbook example of helical Fermi liquids, i.e. quantum liquids in which spin (or pseudospin) and momentum degrees-of-freedom at the Fermi surface have a well-defined…

Mesoscale and Nanoscale Physics · Physics 2011-04-19 Amit Agarwal , Stefano Chesi , T. Jungwirth , Jairo Sinova , G. Vignale , Marco Polini

A model of interacting one--dimensional fermions confined to a harmonic trap is proposed. The model is treated analytically to all orders of the coupling constant by a method analogous to that used for the Luttinger model. As a first…

Quantum Physics · Physics 2009-11-06 W. Wonneberger

We investigate the interaction-induced resistivity of ultracold fermions in a three-dimensional optical lattice. In situ observations of transport dynamics enable the determination of real and imaginary resistivity. In the strongly…

The frequency-dependent conductivity is studied for both the one-dimensional Hubbard model and a model of spinless fermions, using a selection rule, the Bethe ansatz energy eigenstates, and conformal invariance. For densities where the…

Condensed Matter · Physics 2007-05-23 J. M. P. Carmelo , P. D. Sacramento , N. M. R. Peres , D. Baeriswyl

Systems of fermions described by the three-dimensional (3D) repulsive Hubbard model on a cubic lattice have recently attracted considerable attention due to their possible experimental realization via cold atoms in an optical lattice.…

Strongly Correlated Electrons · Physics 2013-09-20 Jie Xu , Simone Chiesa , Eric J. Walter , Shiwei Zhang

Using the time-dependent density matrix renormalization group method, we calculate transport properties of an interacting Fermi gas in an optical lattice with a confining trap after a sudden displacement of the trap center. In the regime of…

Quantum Gases · Physics 2012-09-18 Jia-Wei Huo , Weiqiang Chen , U. Schollwöck , M. Troyer , Fu-Chun Zhang

We consider a directed variant of the negative-weight percolation model in a two-dimensional, periodic, square lattice. The problem exhibits edge weights which are taken from a distribution that allows for both positive and negative values.…

Disordered Systems and Neural Networks · Physics 2019-08-21 Christoph Norrenbrock , Mitchell M. Mkrtchian , Alexander K. Hartmann

Band flattening has been identified as key ingredient to correlation phenomena in Moir\'e materials and beyond. Here, we examine strongly repulsive fermions on a ladder -- a minimal platform for unconventional $d$-wave pairing -- and show…

Strongly Correlated Electrons · Physics 2025-12-25 J. P. Mendonça , S. Biswas , M. Dziurawiec , U. Bhattacharya , K. Jachymski , M. Aidelsburger , M. Lewenstein , M. M. Maśka , T. Grass

We investigate the transport properties in out-of-equilibrium dynamics of strongly correlated dipolar fermions initially localized in one-dimensional inhomogeneous optical lattice. The dynamics is studied by experimentally measurable…

Quantum Gases · Physics 2025-02-11 Barnali Chakrabarti , N D Chavda , Andrea Trombettoni , Arnaldo Gammal

The non-equilibrium spin dynamics of a one-dimensional system of repulsively interacting fermions is studied by means of density-matrix renormalization-group simulations. We focus on the short-time decay of the oscillation amplitudes of the…

Strongly Correlated Electrons · Physics 2012-06-20 Sebastiano Peotta , Davide Rossini , Pietro Silvi , G. Vignale , Rosario Fazio , Marco Polini

For finite systems, the real part of the conductivity is usually decomposed as the sum of a zero frequency delta peak and a finite frequency regular part. In studies with periodic boundary conditions, the Drude weight, i.e., the weight of…

Strongly Correlated Electrons · Physics 2008-04-11 Marcos Rigol , B. Sriram Shastry

Nonlinear Drude weight (NLDW) is a new concept which characterizes the nonlinear transport in quantum many-body systems. We investigate these weights for the spin-1/2 XXZ chain in the critical regime. The effects of the…

Strongly Correlated Electrons · Physics 2021-07-13 Yuhi Tanikawa , Kazuaki Takasan , Hosho Katsura

Persistent currents and Drude weights are investigated for the tight-binding approximation to one-dimensional rings threaded by a magnetic flux and with potential given by some almost-periodic substitution sequences with different degrees…

Disordered Systems and Neural Networks · Physics 2009-11-07 Giancarlo Queiroz Pellegrino

We analyze the dynamics of ultracold atoms in optical lattices induced by a sudden shift of the underlying harmonic trapping potential. In order to study the effect of strong interactions, dimensionality and lattice topology on transport…

Other Condensed Matter · Physics 2011-11-15 Michiel Snoek , Walter Hofstetter

We study the strong correlation effects in the vicinity of the Mott metal-insulator transition using coupled clean or disordered Hubbard chains with a infinitely large coordinate number $D_{\perp}\to\infty$ in the direction perpendicular to…

Strongly Correlated Electrons · Physics 2009-10-31 Satoshi Fujimoto

We numerically investigate the distribution of Drude weights $D$ of many-body states in disordered one-dimensional interacting electron systems across the transition to a many-body localized phase. Drude weights are proportional to the…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Michele Filippone , Piet W. Brouwer , Jens Eisert , Felix von Oppen

We investigate the interplay between superconducting correlations and trimer formation in polarized two-component Fermi gases confined to multileg attractive-$U$ Hubbard ladders. Employing density matrix renormalization group (DMRG)…

Statistical Mechanics · Physics 2025-05-01 Ian Pilé , Evgeni Burovski

We derive effective lattice models for ultracold bosonic or fermionic nonreactive molecules (NRMs) in an optical lattice, analogous to the Hubbard model that describes ultracold atoms in a lattice. In stark contrast to the Hubbard model,…

Quantum Gases · Physics 2016-04-06 Andris Doçaj , Michael L. Wall , Rick Mukherjee , Kaden R. A. Hazzard

We present detailed theoretical study on zero-frequency Drude weight and optical conductivity of a two-dimensional heavy-hole gas(2DHG) with $k$-cubic Rashba and Dresselhaus spin-orbit interactions. The presence of $k$-cubic spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2016-02-01 Alestin Mawrie , Tarun Kanti Ghosh