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We study the dynamics of interacting superfluid bosons in a one dimensional vertical optical lattice after a sudden increase of the lattice potential depth. We show that this system can be exploited to investigate the effects of strong…

Quantum Gases · Physics 2014-05-23 K. W. Mahmud , L. Jiang , E. Tiesinga , P. R. Johnson

We present an experiment conductive to an understanding of both Faraday's law and the properties of the superconducting state. It consists in the analysis of the motion of a superconducting loop moving under the influence of gravity in an…

Physics Education · Physics 2018-08-15 Marco Giliberti , Luca Perotti , Lucio Rossi

It has long been known that quantum particles moving in a periodic lattice and subject to a constant force field undergo an oscillatory motion that is referred to as Bloch Oscillations (BOs). However, it is also known that, under quite…

Mesoscale and Nanoscale Physics · Physics 2023-08-11 J. M. Alendouro Pinho , J. P. Santos Pires , Simão M. João , B. Amorim , J. M. Viana Parente Lopes

Stimulated by the experimental realization of spin-dependent tunneling via gradient magnetic field [Phys. Rev. Lett. 111, 225301 (2013); Phys. Rev. Lett. 111, 185301 (2013)], we investigate dynamics of Bloch oscillations and Landau-Zener…

Quantum Gases · Physics 2015-05-20 Yongguan Ke , Xizhou Qin , Honghua Zhong , Jiahao Huang , Chunshan He , Chaohong Lee

Bloch oscillations, the oscillatory motion of a quantum particle in a periodic potential, are one of the most fascinating effects of coherent quantum transport. Originally studied in the context of electrons in crystals, Bloch oscillations…

Electrons in periodic potentials exhibit oscillatory motion in presence of an electric field. Such oscillations are known as Bloch oscillations. In this article we theoretically investigate the emergence of Bloch oscillations for systems…

Mesoscale and Nanoscale Physics · Physics 2017-07-05 Bogdan Stefan Popescu , Alexander Croy

We theoretically investigate Bloch oscillations in a one-dimensional Bose-Hubbard chain, with single-particle losses from the odd lattice sites described by the Lindblad equation. For a single particle the time evolution of the state is…

Quantum Physics · Physics 2020-09-08 Bradley Longstaff , Eva-Maria Graefe

We study the semiclassical dynamics of interacting electrons in a biased crystal lattice. A complex dynamical scenario emerges from the interplay between the Coulomb and the external electric fields. When the electrons are far apart, the…

Strongly Correlated Electrons · Physics 2013-06-27 Christopher Gaul , Antonio Rodríguez , Rodrigo P. A. Lima , Francisco Domínguez-Adame

Recent experimental progress in the creation of synthetic electric and magnetic fields, acting on cold atoms in a two-dimensional lattice, has attracted renewed interest to the problem of a quantum particle in the Hall configuration. The…

Quantum Physics · Physics 2014-06-03 Andrey R. Kolovsky , Giorgio Mantica

We study interacting electrons in a periodic potential and a uniform magnetic field ${\bf B}$ taking the spin-orbit interaction into account. We first establish a perturbation expansion for those electrons with respect to the Bloch states…

Materials Science · Physics 2009-11-11 Takafumi Kita , Masao Arai

Variational solutions of the Boltzmann equation usually rely on the concept of linear response. We extend the variational approach for tight-binding models at high entropies to a regime far beyond linear response. We analyze both weakly…

Quantum Gases · Physics 2015-06-22 Stephan Mandt

We investigate the impacts of an imaginary transverse field on the dynamics of magnetic domain walls in a quantum Ising chain. We show that an imaginary field plays a similar role as a real transverse field in forming a low-lying…

Mesoscale and Nanoscale Physics · Physics 2024-03-29 K. L. Zhang , Z. Song

In this work, we consider excited many-body mean-field states of bosons in a double-well optical lattice by investigating stationary Bloch solutions to the non-linear equations of motion. We show that, for any positive interaction strength,…

Quantum Gases · Physics 2013-05-30 Hoi-Yin Hui , Ryan Barnett , J. V. Porto , S. Das Sarma

When an interacting many-body system, such as a magnet, is driven in time by an external perturbation, such as a magnetic field,the system cannot respond instantaneously due to relaxational delay. The response of such a system under a…

Statistical Mechanics · Physics 2009-10-31 Bikas K Chakrabarti , Muktish Acharyya

A lattice Boltzmann model with interacting particles was developed in order to simulate the magneto-rheological characteristics of magnetic fluids. In the frame of this model, $6\, +\,1$ species of particles are allowed to move across a…

comp-gas · Physics 2008-02-03 Victor Sofonea

We identify a mapping between two-dimensional (2D) electron transport in a minimally twisted graphene bilayer and a 1D quantum walk, where one spatial dimension plays the role of time. In this mapping a magnetic field B perpendicular to the…

Mesoscale and Nanoscale Physics · Physics 2022-11-02 T. Vakhtel , D. O. Oriekhov , C. W. J. Beenakker

We explore the relaxation dynamics of elementary spin clusters of a kinetically constrained spin system. Inspired by experiments with Rydberg lattice gases, we focus on the situation in which an excited spin leads to a "facilitated"…

Quantum Gases · Physics 2021-09-01 Matteo Magoni , Paolo P. Mazza , Igor Lesanovsky

The classical motion of a one-dimensional chain of atoms coupled through a specific force function that depends on position shows features very similar to the Wannier-Stark problem of a quantum particle under the combined effects of a…

Classical Physics · Physics 2023-05-23 R. Merlin

Rydberg lattice under facilitation conditions can feature kinetic constraints, leading to ballistic and nonergodic behavior at different detuning intensities. Here, we demonstrate that a resonant driving field can achieve effects similar to…

Quantum Physics · Physics 2025-12-04 Jin-Qiu Xiong , Yu-Hong Yan , Xun-Da Jiang , Yong-Yao Li , Kun-Liang Zhang

We consider a Bose-Einstein condensate of ultracold atoms loaded into a square optical lattice and subject to a static force. For vanishing atom-atom interactions the atoms perform periodic Bloch oscillations for arbitrary direction of the…

Superconductivity · Physics 2009-11-13 M. -C. Chung , A. R. Kolovsky