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We study the quantum electron transport in a one-dimensional interacting electron system, called Schmid model, reformulating the model in terms of the bosonic string theory on a disk. The particle-kink duality of the model is discussed in…

High Energy Physics - Theory · Physics 2015-09-02 Taejin Lee

We investigate the dynamics of bound states of two interacting particles, either bosons or fermions, performing a continuous-time quantum walk on a one-dimensional lattice. We consider the situation where the distance between both particles…

Mesoscale and Nanoscale Physics · Physics 2015-11-06 P. L. Krapivsky , J. M. Luck , K. Mallick

We consider here quasiperiodic potentials on the plane, which can serve as a "transitional link" between ordered (periodic) and chaotic (random) potentials. As can be shown, in almost any family of quasiperiodic potentials depending on a…

Mathematical Physics · Physics 2022-02-09 Ivan Dynnikov , Andrei Maltsev

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

Precise control of quantum particles is required for many interesting or novel experiments. Here we consider the task of transporting an atom using an external harmonic potential from one well of an optical lattice to another without…

Quantum Physics · Physics 2020-02-17 Tom Dowdall , Andreas Ruschhaupt

In this paper we present a consolidated equation for all low-field transport coefficients, based on a reservoir approach developed for non-interacting quasiparticles. This formalism allows us to treat the two distinct types of charged…

Superconductivity · Physics 2021-08-26 Rufus Boyack , Zhiqiang Wang , Qijin Chen , K. Levin

Recent results connected to nuclear collision dynamics, from low up to relativistic energies, are reviewed. Heavy ion reactions offer the unique opportunity to probe the complex nuclear many-body dynamics and to explore, in laboratory…

Nuclear Theory · Physics 2020-07-15 Maria Colonna

We consider the motion of an underdamped Brownian particle in a tilted periodic potential in a wide temperature range. Based on the previous data [1] and the new simulation results we show that the underdamped motion of particles in…

Statistical Mechanics · Physics 2013-07-17 I. G. Marchenko , I. I. Marchenko , A. V. Zhiglo

We investigate transport properties of one-dimensional fermionic tight binding models featuring nearest and next-nearest neighbor hopping, where the fermions are additionally subject to a weak short range mutual interaction. To this end we…

Quantum Gases · Physics 2015-06-04 Christian Bartsch , Jochen Gemmer

The directed transport of an overdamped Brownian motor moving in a spatially periodic potential that lacks reflection symmetry (i.e. a ratchet potential) is studied when driven by thermal and dichotomic nonequilibrium noise in the presence…

Soft Condensed Matter · Physics 2008-08-05 Lukasz Machura , Jerzy Luczka , Peter Talkner , Peter Hänggi

Transport properties play a crucial role in defining materials as insulators, metals, or superconductors. A fundamental parameter in this regard is the Drude weight, which quantify the ballistic transport of charge carriers. In this work,…

Unexpected accelerator modes were recently observed experimentally for cold cesium atoms when driven in the presence of gravity. A detailed theoretical explanation of this quantum effect is presented here. The theory makes use of invariance…

Chaotic Dynamics · Physics 2007-05-23 Shmuel Fishman , Italo Guarneri , Laura Rebuzzini

Using quantum Monte Carlo simulations, we study a mixture of bosons and fermions loaded on an optical lattice. With simple on-site repulsive interactions, this system can be driven into a solid phase. We dope this phase and, in analogy with…

Other Condensed Matter · Physics 2008-11-05 Frederic Hebert , George G. Batrouni , Xavier Roy , Valery G. Rousseau

In a cold atom gas subject to a 2D spin-dependent optical lattice potential with hexagonal symmetry, trapped atoms undergo orbital motion around the potential minima. Such atoms are elementary quantum rotors. We develop the theory of such…

Quantum Physics · Physics 2019-10-14 I. Kuzmenko , T. Kuzmenko , Y. Avishai , Y. B. Band

Natural phenomena frequently involve a very large number of interacting molecules moving in confined regions of space. Cellular transport by motor proteins is an example of such collective behavior. We derive a deterministic compartmental…

Subcellular Processes · Quantitative Biology 2017-11-01 Yoram Zarai , Michael Margaliot , Anatoly B. Kolomeisky

Single-file transport in pore-like structures constitute an important topic for both theory and experiment. For hardcore interacting particles, a good understanding of the collective dynamics has been achieved recently. Here we study how…

Statistical Mechanics · Physics 2021-12-28 Alexander P. Antonov , Artem Ryabov , Philipp Maass

We prove analytically that both fermionic and bosonic uniform d-dimensional lattices can be reduced to a set of independent one-dimensional modes. This reduction leads to the conclusion that the dynamics in uniform fermionic and bosonic…

Quantum Physics · Physics 2016-05-03 Daniel Manzano , Chern Chuang , Jianshu Cao

In this work we study the particle conductance of a strongly interacting Fermi gas through a quantum point contact. With an atom-molecule two-channel model, we compute the contribution to particle conductance by both the fermionic atoms and…

Quantum Gases · Physics 2017-02-08 Boyang Liu , Hui Zhai , Shizhong Zhang

Recently observed Aharonov-Bohm quantum interference of period h/2e in charge density wave rings strongly suggest that correlated density wave electron transport is a cooperative quantum phenomenon. The picture discussed here posits that…

Strongly Correlated Electrons · Physics 2015-05-30 J. H. Miller , A. I. Wijesinghe , Z. Tang , A. M. Guloy

Transport of a particle in a spatially periodic harmonic potential under the influence of a slowly time-dependent unbiased periodic external force is studied. The equations of motion are the same as in the problem of a slowly forced…

Chaotic Dynamics · Physics 2009-02-20 Xavier Leoncini , Anatoly Neishtadt , Alexei Vasiliev