We present an analysis of two-dimensional (2D) matter-wave solitons, governed by the pseudospinor system Gross-Pitaevskii equations with self- and cross attraction, which includes spin-orbit coupling (SOC) in general Rashba-Dresselhaus form, and, separately, Rashba Zeeman splitting. Families semivortex (SV) mixed-mode (MM) solitons are constructed, exist stable free space, as SOC terms prevent onset critical collapse create otherwise missing ground states form solitons. The Dresselhaus...

A finite-size quasi-two-dimensional Bose-Einstein condensate collapses if the attraction between atoms is sufficiently strong. Here we present a theory of collapse for condensates with interatomic and spin-orbit coupling. We consider two realizations coupling: axial Rashba coupling balanced, effectively one-dimensional Rashba-Dresselhaus one. In both cases spin-dependent ``anomalous'' velocity, proportional to spin-orbit-coupling strength, plays crucial role. For coupling, this velocity...

We consider joint effects of tunneling and spin-orbit coupling on driven by electric field spin dynamics in a double quantum dot with multilevel resonance scenario. demonstrate that plays the crucial role formation Rabi-like spin-flip transitions. In contrast to linear behavior for weak fields, rate becomes much smaller than expected two-level model shows oscillating dependence driving amplitude stronger fields. addition, full flip is very difficult achieve resonant system. These two have...

We apply an invariant-based inverse engineering method to control by time-dependent electric fields electron spin dynamics in a quantum dot with spin-orbit coupling weak magnetic field. The designed provide shortcut adiabatic processes that flips the rapidly, thus avoiding decoherence effects. This approach, being robust respect device-dependent noise, can open new possibilities for spin-based information processing.

We consider spin effects related to the random spin-orbit interaction in graphene. Such a can result from presence of ripples and/or other inhomogeneities at graphene surface. show that generally reduces dephasing (relaxation) time, even if vanishes on average. Moreover, coupling also allows for manipulation with an external electric field. Because spin-flip interband as well intraband optical transitions, density be effectively generated by periodic field relatively broad range frequencies.

The effective “spin–orbit” field acting upon spins of carriers in two-dimensional electronic structures (the Rashba field) arises due to the spatial asymmetry system. It will be shown this letter that even quantum wells with perfectly symmetric environment, a random fluctuations concentration dopant ions. magnitude field, its correlation function, and electron spin relaxation rate are presented.

We demonstrate a new, nonlinear optical effect of electric currents. First, steady current is generated by applying voltage on doped GaAs crystal. that this induces second-harmonic generation probe laser pulse. Second, we optically inject transient in an undoped crystal using pair ultrafast pulses and it the same generation. In both cases, induced second-order susceptibility proportional to density. This can be used for nondestructive, noninvasive, imaging These advantages are illustrated...

Disorder plays a crucial role in spin dynamics solids and condensed matter systems. We demonstrate that for spin-orbit coupled Bose-Einstein condensate random potential two mechanisms of evolution can be characterized as "precessional" "anomalous" are at work simultaneously. The precessional mechanism, typical solids, is due to the displacement. unconventional anomalous mechanism spin-dependent velocity producing distribution polarization. expansion accompanied by displacement fragmentation,...

Spin-orbit coupling (SOC) is pivotal for various fundamental spin-dependent phenomena in solids and their technological applications. In semiconductors, these have been so far studied relatively weak electron-electron interaction regimes, where the single electron picture holds. However, SOC can profoundly compete against Coulomb interaction, which could lead to emergence of unconventional electronic phases. Since depends on electric field crystal including contributions itinerant electrons,...

Abstract We investigate the effect of spin-orbit (SO) and Rabi couplings on localization the
spin-1/2 condensate trapped in a one-dimensional random potential. Our studies reveal that the
spin-dependent create distinct regimes, resulting various relations between
localization spin-related properties. First, we examine linear condensate
and find SO coupling can lead to transition localized state from “basin-like”
to “void” region For weak potential upon...

We develop a theory of spin noise in semiconductor nanowires considered as prospective elements for spintronics. In these structures, spin-orbit coupling can be realized random function coordinate correlated on spatial scale the order 10 nm. By analyzing different regimes electron transport and dynamics, we demonstrate that relaxation very slow, resulting power spectrum increases algebraically frequency goes to zero. This effect makes phenomena best suitable studies by rapidly developing...

We develop a theory of spin fluctuations exciton-polaritons in semiconductor microcavity under the non-resonant unpolarized pumping. It is shown that corresponding noise sensitive to scattering rates system, occupation ground state, statistics polaritons, and interactions. The spectrum drastically narrows polariton lasing regime due formation condensate, while its shape can become non-Lorentzian owing interaction-induced decoherence.

We introduce an exactly integrable nonlinear model describing the dynamics of spinor solitons in space-dependent matrix gauge potentials rather general types. The is shown to be equivalent system vector Schrödinger equations known as Manakov model. As example we consider a self-attractive Bose-Einstein condensate with random spin-orbit coupling (SOC). If Zeeman splitting also included, becomes nonintegrable. illustrate this by considering walk soliton disordered SOC landscape. While at zero...

A single electron spin in a double quantum dot magnetic field is considered terms of four-level system. By describing the motion between potential minima by spin-conserving tunneling and flip caused spin-orbit coupling, we inversely engineer faster-than-adiabatic state manipulation operations based on geometry four-dimensional (4D) rotations. In particular, show how to transport qubit among dots performing simultaneously required rotation.

Disorder in condensed matter and atomic physics is responsible for a great variety of fascinating quantum phenomena, which are still challenging understanding, not to mention the relevant dynamical control. Here we introduce proof concept analyze neural-network-based machine-learning algorithm achieving feasible high-fidelity control particle random environment. To explicitly demonstrate its capabilities, show that convolutional neural networks able solve this problem as they can recognize...

Based on ab initio calculations, we demonstrate that a Mott insulator ${\mathrm{LaTiO}}_{3}$ (LTO), not inspected previously as an altermagnetic material, shows the characteristic features of altermagnets, i.e., (i) fully compensated antiferromagnetism and (ii) $k$-dependent spin-split electron bands in absence spin-orbit coupling. The ground state LTO is protected by crystal symmetry specifically ordered $d$ orbitals Ti ions with orbital momentum $l=2.$ altermagnetism occurs when sites...

Spin-orbit coupling in symmetrically doped ${\mathrm{S}\mathrm{i}/\mathrm{S}\mathrm{i}}_{1\ensuremath{-}x}{\mathrm{Ge}}_{x}$ quantum wells is investigated theoretically. Unavoidable fluctuations of concentration dopant ions lead to a finite spin-orbit there even if the mean concentrations are equal on both sides well. This effect, being realization minimal possible strength coupling, leads measurable intensity electric-dipole spin resonance, that is, electron spin-flip transitions caused by...

We have studied spin dephasing in a high-mobility two-dimensional electron system confined GaAs/AlGaAs quantum well grown the [110] direction, using resonant amplification (RSA) technique. From characteristic shape of RSA spectra, we are able to extract times (SDTs) for spins aligned along growth direction or within sample plane, as $g$ factor. observe strong anisotropy times. While in-plane SDT remains almost constant temperature is varied between 4 and 50 K, out-of-plane shows dramatic...

We consider quasiballistic electron transmission in a one-dimensional quantum wire subject to both time-independent and periodic potentials of finger gate that results local time-dependent Rashba-type spin-orbit coupling. A spin-dependent conductance is calculated as function external constant magnetic field, the electric field frequency, potential strength. The demonstrate effect gate-driven dipole spin resonance transport phenomenon such spin-flip transmission.

We measure the donor-bound electron longitudinal spin-relaxation time ($T_1$) as a function of magnetic field ($B$) in three high-purity direct-bandgap semiconductors: GaAs, InP, and CdTe, observing maximum $T_1$ $1.4~\text{ms}$, $0.4~\text{ms}$ $1.2~\text{ms}$, respectively. In GaAs InP at low field, up to $\sim2~\text{T}$, mechanism is strongly density temperature dependent attributed random precession spin hyperfine fields caused by lattice nuclear spins. all semiconductors high we...

This authors predict that attractive spinor Bose-Einstein condensates under the action of spin-orbit coupling and Zeeman splitting form self-sustained stable two- three-dimensional states in free space, even when acts a lower-dimensional form. The results offer an advantage for potential experimental creation multidimensional solitons