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With the help of the Berry curvature and the first Chern number $($$\textit{C}_1$$)$, we both analytically and numerically investigate and thus simulate artificial magnetic monopoles formed in parameter space of the Hamiltonian of a driven…

Quantum Physics · Physics 2021-02-03 Ze-Lin Zhang , Ming-Feng Chen , Huai-Zhi Wu , Zhen-Biao Yang

We have observed the Berry phase effect associated with interband coherence in topological surface states (TSSs) using two-color high-harmonic spectroscopy. This Berry phase accumulates along the evolution path of strong field-driven…

Optics · Physics 2024-04-10 Ya Bai , Yang Jiang , Wenyang Zheng , Jiayin Chen , Shuo Wang , Candong Liu , Ruxin Li , Peng Liu

In this Letter, we investigate spin dynamics of a two-component Bose gas with spin-orbit coupling realised in cold atom experiments. We derive coupled hydrodynamic equations for number and spin densities as well as their associated…

Quantum Gases · Physics 2018-09-25 Wai Ho Tang , Shizhong Zhang

We explore the trap profiles of a two-dimensional atomic Fermi gas in the presence of a Rashba spin-orbit coupling and under an adiabatic rotation. We first consider a non-interacting gas and show that the competition between the effects of…

Quantum Gases · Physics 2017-01-04 E. Doko , A. L. Subasi , M. Iskin

The effect of inter-subsystem couplings on the Berry phase of a composite system as well as that of its subsystem is investigated in this paper. We analyze two coupled spin-$\frac 1 2 $ particles with one driven by a quantized field as an…

Quantum Physics · Physics 2009-11-10 L. C. Wang , H. T. Cui , X. X. Yi

We study the adiabatic evolution of a two-level model in the presence of an external classical electric field. The coupling between the quantum model and the classical field is taken in the electric dipole approximation. In this regime, we…

Quantum Physics · Physics 2009-07-25 A. C. Aguiar Pinto , M. Moutinho , M. T. Thomaz

We derive the general formula giving the Berry phase for an arbitrary spin, having both magnetic-dipole and electric-quadrupole couplings with external time-dependent fields. We assume that the effective E and B fields remain orthogonal…

Quantum Physics · Physics 2015-05-19 Marie-Anne Bouchiat , Claude Bouchiat

We investigate quantum kinetic theory for a massive fermion system under a rotational field. From the Dirac equation in curved space we derive the complete set of kinetic equations for the spin components of the covariant and equal-time…

High Energy Physics - Phenomenology · Physics 2022-11-09 Shile Chen , Ziyue Wang , Pengfei Zhuang

The dynamics of observables which are matrices depending on \hbar and taking values in classical phase space is defined retaining the terms up to the first order in \hbar of the Moyal bracket. Within this semiclassical approach a first…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Omer F. Dayi

We propose that n-type semiconductor quantum dots with the Rashba and Dresselhaus spin orbit interactions may be used for single electron manipulation through adiabatic transformations between degenerate states. All the energy levels are…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. -R. Eric Yang , N. Y. Hwang

We employ a path integral real time approach to compute the DC conductance and spin polarization for electrons transported across a ballistic Quantum Ring with Rashba spin-orbit interaction. We use a piecewise semiclassical approximation…

Mesoscale and Nanoscale Physics · Physics 2007-07-23 P. Lucignano , D. Giuliano , A. Tagliacozzo

We consider semiclassical higher-order wave packet solutions of the Schrodinger equation with phase vortices. The vortex line is aligned with the propagation direction, and the wave packet carries a well-defined orbital angular momentum…

Quantum Physics · Physics 2008-11-26 K. Yu. Bliokh , Yu. P. Bliokh , S. Savel'ev , F. Nori

Quasiparticle spin (in the spacetime sense) couples to curvature of space. Here this fact is used to calculate the spin of quasiholes in trial quantum Hall states by adiabatically dragging them around on a sphere, for trial states given by…

Mesoscale and Nanoscale Physics · Physics 2008-07-22 N. Read

The many-body Berry phase formula for the macroscopic polarization is approximated by a sum of natural orbital geometric phases with fractional occupation numbers accounting for the dominant correlation effects. This reduced formula…

Strongly Correlated Electrons · Physics 2018-12-14 Ryan Requist , E. K. U. Gross

The geometric phase has been proposed as a candidate for noise resilient coherent manipulation of fragile quantum systems. Since it is determined only by the path of the quantum state, the presence of noise fluctuations affects the…

Quantum Physics · Physics 2010-04-22 S. Filipp , J. Klepp , Y. Hasegawa , C. Plonka-Spehr , U. Schmidt , P. Geltenbort , H. Rauch

We consider the relation between spin and the Berry-phase contribution to the anomalous velocity of massive and massless Dirac particles. We extend the Berry connection that depends only on the spatial components of the particle momentum to…

High Energy Physics - Theory · Physics 2015-01-14 Michael Stone , Vatsal Dwivedi , Tianci Zhou

We analyze topological phase transitions and higher Berry curvature in one-dimensional quantum spin systems, using a framework that explicitly incorporates the symmetry group action on the parameter space. Based on a $G$-compatible…

Quantum Physics · Physics 2026-01-28 Ken Shiozaki

A physically transparent and mathematically simple semiclassical model is employed to examine dynamics in the central-spin problem. The results reproduce a number of previous findings obtained by various quantum approaches and, at the same…

Mesoscale and Nanoscale Physics · Physics 2015-03-31 Tomasz Dietl

We study a slow classical system [particle] coupled to a fast quantum system with discrete energy spectrum. We adiabatically exclude the quantum system and construct an autonomous dynamics for the classical particle in successive orders of…

Quantum Physics · Physics 2009-12-27 A. E. Allahverdyan , B. Mehmani

Spin-orbit coupling plays an increasingly important role in the modern condensed matter physics. For instance, it gives birth to topological insulators and topological superconductors. Quantum simulation of spin-orbit coupling using…

Quantum Gases · Physics 2015-06-04 Pengjun Wang , Zeng-Qiang Yu , Zhengkun Fu , Jiao Miao , Lianghui Huang , Shijie Chai , Hui Zhai , Jing Zhang