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Under the action of a weak constant force a wavepacket in periodic potential undergoes periodic oscillations in space, returning to the initial position after one oscillation cycle. This wave phenomenon, known as Bloch oscillations (BOs),…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Chunyan Li , Weifeng Zhang , Yaroslav V. Kartashov , Dmitry V. Skryabin , Fangwei Ye

We address Bloch oscillations of a spin-orbit coupled atom in periodic potentials of two types: Optical and Zeeman lattices. We show that in optical lattices the spin-orbit coupling allows controlling the direction of atomic motion and may…

Quantum Gases · Physics 2016-11-22 Yaroslav V. Kartashov , Vladimir V. Konotop , Dmitry A. Zezyulin , Lluis Torner

We study the Bloch oscillation dynamics of a spin-orbit-coupled cold atomic gas trapped inside a one-dimensioanl optical lattice. The eigenspectra of the system is identified as two interpenetrating Wannier-Stark ladder. Based on that, we…

Quantum Gases · Physics 2019-02-05 Wei Ji , Keye Zhang , Weiping Zhang , Lu Zhou

The transient picture for a Bloch electron accelerating in an arbitrarily time-dependent homogeneous electric field is developed. The temporal sequence for the analysis includes the instant after electron injection, followed by the time…

Mesoscale and Nanoscale Physics · Physics 2026-03-02 G. J. Iafrate , V. N. Sokolov

We theoretically consider the amplification of THz radiation in a superlattice Bloch oscillator. The main dilemma in the realization of THz Bloch oscillator is finding operational conditions which allow simultaneously to achieve gain at THz…

Mesoscale and Nanoscale Physics · Physics 2009-10-08 Timo Hyart , Kirill N. Alekseev , Ahti Leppanen , Erkki V. Thuneberg

When charged particles in periodic lattices are subjected to a constant electric field, they respond by oscillating. Here we demonstrate that the magnetic analogue of these Bloch oscillations are realised in a one-dimensional ferromagnetic…

We investigate the quantum dynamics of a one-dimensional tight-binding lattice driven by a spatially quadratic and time-periodic potential. Both Hermitian ($J_1 = J_2$) and non-Hermitian ($J_1 \neq J_2$) hopping regimes are analyzed. Within…

Quantum Physics · Physics 2025-12-15 J. Cao , H. Shen , R. Wang , X. Z. Zhang

Inspired by recent experiments with cold atoms in optical lattices, we consider a St\"uckelberg interferometer for a particle performing Bloch oscillations in a tight-binding model on the honeycomb lattice. The interferometer is made of two…

Mesoscale and Nanoscale Physics · Physics 2015-12-30 Lih-King Lim , Jean-Noël Fuchs , Gilles Montambaux

A rotating Bose-Einstein condensate is shown to exhibit a Bloch band structure without the need of periodic potential. Vortices enter the condensate by a mechanism similar to the Bragg reflection, if the frequency of a rotating drive or the…

Soft Condensed Matter · Physics 2009-11-10 Hiroki Saito , Masahito Ueda

We have loaded Bose-Einstein condensates into one-dimensional, off-resonant optical lattices and accelerated them by chirping the frequency difference between the two lattice beams. For small values of the lattice well-depth, Bloch…

Soft Condensed Matter · Physics 2009-11-07 O. Morsch , J. H. Müller , M. Cristiani , D. Ciampini , E. Arimondo

We investigate Bloch oscillations of wave packets in monolayer phosphorene with broken inversion symmetry. We find that the real space trajectories, Berry and group velocities of Bloch electron undergo Bloch oscillations in the system. The…

Mesoscale and Nanoscale Physics · Physics 2023-08-31 Abdullah Yar , Rifat Sultana

The Newtonian dynamics of particles in brane gravity is investigated. Due to the coupling of the particles' energy-momentum tensor to the tension of the brane, the particle is semi-confined and oscillates along the extra dimension. We…

General Relativity and Quantum Cosmology · Physics 2023-04-04 Shahram Jalalzadeh

Periodic structures are ubiquitous in quantum many-body systems and quantum field theories, ranging from lattice models, compact spaces, to topological phenomena. However, previous bootstrap studies encountered technical challenges even for…

High Energy Physics - Theory · Physics 2025-07-04 Zhijian Huang , Wenliang Li

Light propagation in periodic environments is often associated with a number of interesting and potentially useful processes. If a crystalline optical potential is also linearly ramped, light can undergo periodic Bloch oscillations, a…

The motion of a quantum particle in a one-dimensional periodic potential can be described in terms of Bloch wave packets. Like free-particle wave packets, they can propagate without attenuation. Here, we examine this similarity more closely…

Quantum Physics · Physics 2025-09-29 Arseni Goussev , Gregory V. Morozov

A primer on the Floquet theory of periodically time-dependent quantum systems is provided, and it is shown how to apply this framework for computing the quasienergy band structure governing the dynamics of ultracold atoms in driven optical…

Quantum Physics · Physics 2015-11-30 Martin Holthaus

We consider a model of an electron in a crystal moving under the influence of an external electric field: Schr\"{o}dinger's equation with a potential which is the sum of a periodic function and a general smooth function. We identify two…

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

We have considered a system of two superconducting charge qubits capacitively coupled to a microwave resonator. The dynamics of the Bloch vectors are investigated for different regimes. By means of the Bloch vectors and cross dyadic we…

Quantum Physics · Physics 2009-11-13 Nasser Metwally , Mahmoud Abdel-Aty

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

We investigate analytically, the stability of Bloch waves at the boundary of the first Brillouin zone in two coupled Bose-Einstein condensates confined in an optical lattice. Contrary to the single component case, we find here two critical…

Statistical Mechanics · Physics 2009-11-11 Vikash Ranjan , Aranya B Bhattacherjee , Man Mohan
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