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The equations of motion for the position and gauge invariant crystal momentum are considered for multiband wave packets of Bloch electrons. For a localized packet in a subset of bands well-separated from the rest of the band structure of…

Mesoscale and Nanoscale Physics · Physics 2019-02-05 Troy Stedman , Carsten Timm , Lilia M. Woods

Many features of Bloch oscillations in one-dimensional quantum lattices with a static force can be described by quasiclassical considerations for example by means of the acceleration theorem, at least for Hermitian systems. Here the…

Quantum Physics · Physics 2016-06-07 E M Graefe , H J Korsch , A Rush

An analytical approach based on the parametric representation of the wave propagation in nonuniform media was considered. In addition to the previously developed theory of parametric antiresonance describing the field attenuation in stop…

Mathematical Physics · Physics 2013-07-16 A. Popov , V. Kovalchuk

We consider the superfluid weight, speed of sound and excitation fraction of a flat band Bose-Einstein condensate (BEC) within multiband Bogoliubov theory. The superfluid weight is calculated by introducing a phase winding and minimizing…

Quantum Gases · Physics 2023-06-30 Aleksi Julku , Grazia Salerno , Päivi Törmä

The semiclassical theory of Bloch wave packet dynamics predicts a self-rotation angular momentum in asymmetric periodic potentials, which has never been observed. We show how this is manifested in Bose-Einstein condensed atoms in optical…

Condensed Matter · Physics 2016-08-31 Roberto B. Diener , Artem M. Dudarev , Ganesh Sundaram , Qian Niu

Bogoliubov's description of Bose gases relies on the linear dynamics of noninteracting quasiparticles on top of a homogeneous condensate. Here, we theoretically explore the weakly-nonlinear regime of a one-dimensional photon superfluid in…

Quantum Gases · Physics 2024-07-17 Marzena Ciszak , Francesco Marino

Two-component systems consisting of mutually interacting particles can demonstrate both intracomponent transport effects and intercomponent entrainment (or drag) effects. In the presence of superfluidity, the intracomponent transport is…

Quantum Gases · Physics 2024-07-23 Azat F. Aminov , Alexey A. Sokolik , Yurii E. Lozovik

We consider a model of an electron in a crystal moving under the influence of an external electric field: Schroedinger's equation in one spatial dimension with a potential which is the sum of a periodic function $V$ and a smooth function…

Mathematical Physics · Physics 2022-08-23 Alexander B. Watson , Michael I. Weinstein

The geometric characteristics of Bloch wave functions play a crucial role in electronic transport properties. We show that the thermoelectric performance of materials is governed by the geometric structure of Bloch wave functions within the…

Mesoscale and Nanoscale Physics · Physics 2024-08-09 Chang-geun Oh , Kun Woo Kim , Jun-Won Rhim

Photo-control of correlated phases is central to advancing and manipulating novel functional properties of quantum materials. Here, we explore microwave enhancement of superconductivity in flat bands through generation of nonequilibrium…

Superconductivity · Physics 2026-02-19 Arpit Arora , Jonathan B. Curtis , Prineha Narang

Motivated by experimental advances in the synthesis of gauge potentials for ultracold atoms, we consider the superfluid phase of interacting bosons on a square lattice in the presence of a magnetic field. We show that superfluid order…

Quantum Gases · Physics 2010-07-01 Stephen Powell , Ryan Barnett , Rajdeep Sensarma , Sankar Das Sarma

We study numerically the dynamics of a one-electron wave packet in a two-dimensional random lattice with long-range correlated diagonal disorder in the presence of a uniform electric field. The time-dependent Schr\"{o}dinger equation is…

Disordered Systems and Neural Networks · Physics 2007-05-23 F. A. B. F. de Moura , M. L. Lyra , F. Dominguez-Adame , V. A. Malyshev

The semiclassically scaled time-dependent multi-particle Schr\"odinger equation describes, inter alia, quantum dynamics of nuclei in a molecule. It poses the combined computational challenges of high oscillations and high dimensions. This…

Numerical Analysis · Mathematics 2020-12-02 Caroline Lasser , Christian Lubich

Bloch oscillations are a phenomenon well known from quantum mechanics where electrons in a lattice experience an oscillatory motion in the presence of an electric field gradient. Here, we report on Bloch oscillations of hybrid light-matter…

The semi-classical Bloch-Boltzmann theory is at the heart of our understanding of conduction in solids, ranging from metals to semi-conductors. Physical systems that are beyond the range of applicability of this theory are thus of…

Materials Science · Physics 2009-04-10 G. Trambly de Laissardière , J. P. Julien , D. Mayou

Special relativity combined with the stochastic vacuum flux impact model lead to an explicit interpretation of many of the phenomena of elementary quantum mechanics. We examine characteristics of a repetitively impacted submicroscopic…

General Physics · Physics 2007-05-23 C. L. Herzenberg

Unconventional flat band (FB) superconductivity, as observed in van der Waals heterostructures, could open promising avenues towards high-T$_c$ materials. In FBs, pairings and superfluid weight scale linearly with the interaction parameter,…

Superconductivity · Physics 2024-03-12 G. Bouzerar , M. Thumin

We use the Bogoliubov theory of atoms in an optical lattice to study the approach to the Mott-insulator transition. We derive an explicit expression for the superfluid density based on the rigidity of the system under phase variations. This…

Soft Condensed Matter · Physics 2009-11-07 Ana Maria Rey , Keith Burnett , Robert Roth , Mark Edwards , Carl J. Williams , Charles W. Clark

Quantum geometry governs a wide range of transport and optical phenomena in quantum materials. Recent works have explored analogue electromagnetism and gravity in terms of the quantum geometric tensor, whose real and imaginary parts…

Mesoscale and Nanoscale Physics · Physics 2026-03-24 Luca Maranzana , Koki Shinada , Ying-Ming Xie , Sergey Artyukhin , Naoto Nagaosa

Bloch-like surface waves associated with a quasiperiodic structure are observed for the first time in a classic wave propagation experiment which consists of pulse propagation with a shallow fluid covering a quasiperiodically drilled…

Materials Science · Physics 2021-11-05 M. Torres , J. L. Aragon , Juan P. Adrados , P. Cobo , S. Tehuacanero