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Energy-transport equations for the transport of fermions in optical lattices are formally derived from a Boltzmann transport equation with a periodic lattice potential in the diffusive limit. The limit model possesses a formal gradient-flow…

Analysis of PDEs · Mathematics 2017-04-11 Marcel Braukhoff , Ansgar Jüngel

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

We present a formalism to study many-particle quantum transport across a lattice locally connected to two finite, non-stationary (bosonic or fermionic) reservoirs, both of which are in a thermal state. We show that, for conserved total…

Using the micro-canonical picture of transport -- a framework ideally suited to describe the dynamics of closed quantum systems such as ultra-cold atom experiments -- we show that the exact dynamics of non-interacting fermions and bosons…

Quantum Gases · Physics 2012-04-11 Chih-Chun Chien , Michael Zwolak , Massimiliano Di Ventra

We investigate the transport properties of neutral, fermionic atoms passing through a one-dimensional quantum wire containing a mesoscopic lattice. The lattice is realized by projecting individually controlled, thin optical barriers on top…

We show that the recently developed optical lattices with Peierls substitution -- which can be modeled as a lattice with a complex tunneling coefficient -- may be used to induce controllable quantum transport of ultra-cold atoms. In…

Quantum Gases · Physics 2013-02-12 Chih-Chun Chien , Massimiliano Di Ventra

We study particle current in a recently proposed model for coherent quantum transport. In this model a system connected to mesoscopic Fermi reservoirs (meso-reservoir) is driven out of equilibrium by the action of super reservoirs…

Statistical Mechanics · Physics 2013-01-01 S. Ajisaka , F. Barra , C. Mejia-Monasterio , T. Prosen

We analyze quantum transport of charged fermionic particles in the tight-binding lattice connecting two particle reservoirs (the leads). If the lead chemical potentials are different they create an electric field which tilts the lattice. We…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Andrey R. Kolovsky

We devise a microscopic model for the emergence of a collision-induced, fermionic atomic current across a tilted optical lattice. Tuning the - experimentally controllable - parameters of the microscopic dynamics allows to switch from Ohmic…

Other Condensed Matter · Physics 2016-08-31 Alexey V. Ponomarev , Javier Madronero , Andrey R. Kolovsky , Andreas Buchleitner

We measure the conductivity of neutral fermions in a cubic optical lattice. Using in-situ fluorescence microscopy, we observe the alternating current resultant from a single-frequency uniform force applied by displacement of a weak harmonic…

By means of optimal control techniques we model and optimize the manipulation of the external quantum state (center-of-mass motion) of atoms trapped in adjustable optical potentials. We consider in detail the cases of both non interacting…

The electrical current through an arbitrary junction connecting quantum wires of spinless interacting fermions is calculated in fermionic representation. The wires are adiabatically attached to two reservoirs at chemical potentials…

Strongly Correlated Electrons · Physics 2014-12-09 D. N. Aristov , P. Wölfle

Recent work has studied fermion transport through a finite one-dimensional lattice of quantum dots, with localized particle loss from the central lattice site. The dots at each end of the lattice are connected to macroscopic leads,…

Quantum Gases · Physics 2024-10-25 J. R. Anglin

We show theoretically that the dynamics of cold atoms in the lowest energy band of a stationary optical lattice can be transformed and controlled by a second, weaker, periodic potential moving at a constant speed along the axis of the…

Quantum Gases · Physics 2013-01-16 M. T. Greenaway , A. G. Balanov , T. M. Fromhold

We present a generic, compact formula for the current flowing in interacting and non-interacting systems which are driven out-of-equilibrium by biased reservoirs described by Lindblad jump operators. We show that, in the limit of high…

Quantum Physics · Physics 2020-12-18 Tony Jin , Michele Filippone , Thierry Giamarchi

We study particle current and occupation distribution in a recently proposed model for coherent quantum transport. In this model a system connected to mesoscopic Fermi reservoirs (mesoreservoir) is driven out of equilibrium by the action of…

Mesoscale and Nanoscale Physics · Physics 2016-04-26 Shigeru Ajisaka , Felipe Barra

We propose a fault tolerant loading scheme to produce an array of fermions in an optical lattice of the high fidelity required for applications in quantum information processing and the modelling of strongly correlated systems. A cold…

Quantum Physics · Physics 2009-01-15 A. Griessner , A. J. Daley , D. Jaksch , P. Zoller

We study the matter and entropy transport between two ultra-cold neutral Fermi-gas reservoirs linked by a quantum point contact under a chemical-potential gradient. We describe the two leads with a BCS mean-field model and derive the…

Quantum Gases · Physics 2026-05-04 Davide Bertolusso , C. J. Bolech , Thierry Giamarchi

Landauer's formula is the standard theoretical tool to examine ballistic transport in nano- and meso-scale junctions, but it necessitates that any variation of the junction with time must be slow compared to characteristic times of the…

Mesoscale and Nanoscale Physics · Physics 2016-04-25 Daniel Gruss , Kirill A. Velizhanin , Michael Zwolak

We introduce a simple model for the quantum transport of Fermi particles between two contacts connected by a lead. It generalizes the Landauer formalizm by explicitly taken into account the relaxation processes in the contacts. We calculate…

Quantum Gases · Physics 2020-11-25 A. R. Kolovsky
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