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We consider the Landau-Zener problem for a multilevel quantum system that is coupled to an external environment. In particular, we consider a number of cases of three-level systems coupled to a harmonic oscillator that represents the…

量子物理 · 物理学 2016-10-19 S. Ashhab

We show by direct calculation starting from a microscopic model that the two-state system with time-dependent energy levels in the presence of fast quantum noise obeys the master equation. The solution of master equation is found…

介观与纳米尺度物理 · 物理学 2009-11-13 Valery L. Pokrovsky , Deqiang Sun

One may probe intrinsic coherence of a qubit by periodically sweeping its control parameter. The qubit is then excited by Landau-Zener (LZ) mechanism. The interference between multiple LZ transition leads to the unusual oscillatory…

凝聚态物理 · 物理学 2009-11-07 A. V. Shytov , D. A. Ivanov , M. V. Feigel'man

We present a rigorous analysis of the Landau-Zener linear-in-time term crossing problem for quadratic-nonlinear systems relevant to the coherent association of ultracold atoms in degenerate quantum gases. Our treatment is based on an exact…

量子气体 · 物理学 2009-11-01 A. Ishkhanyan , B. Joulakian , K. -A. Suominen

The Landau--Zener (LZ) model describes a two-level quantum system that undergoes an avoided crossing. In the adiabatic limit, the transition probability vanishes. An auxiliary control field $H_\text{CD}$ can be reverse-engineered so that…

量子物理 · 物理学 2026-01-16 Georgios Theologou , Mikkel F. Andersen , Sandro Wimberger

We consider sweeping a system through a Landau-Zener avoided-crossing, when that system is also coupled to an environment or noise. Unsurprisingly, we find that decoherence suppresses the coherent oscillations of quantum superpositions of…

介观与纳米尺度物理 · 物理学 2011-11-28 Robert S. Whitney , Maxime Clusel , Timothy Ziman

We study the dynamics of a quantum two state system driven through an avoided crossing under the influence of a super Ohmic environment, i.e. a longitudinal as well as a transversal one. The crossing time window, in which relaxation…

量子物理 · 物理学 2021-05-11 Peter Nalbach

Quantum simulation is one of the most promising near term applications of quantum computing. Especially, systems with a large Hilbert space are hard to solve for classical computers and thus ideal targets for a simulation with quantum…

The Kibble-Zurek mechanism (KZM) predicts the density of topological defects produced in the dynamical processes of phase transitions in systems ranging from cosmology to condensed matter and quantum materials. The similarity between KZM…

The Landau-Zener formula provides an analytical expression for the final excitation of a quantum system after passage of an avoided crossing of two energy levels. If the two levels correspond to a ground state, and to an excited state which…

量子物理 · 物理学 2015-06-19 Pinja Haikka , Klaus Molmer

We study Landau-Zener-Stuckelberg (LZS) interferometry in multilevel systems coupled to an Ohmic quantum bath. We consider the case of superconducting flux qubits driven by a dc+ac magnetic fields, but our results can apply to other similar…

超导电性 · 物理学 2016-03-09 Alejandro Ferron , Daniel Dominguez , Maria Jose Sanchez

We investigate the Landau-Zener tunneling (LZT) of a self-interacting two-level system in which the coupling between the levels is nonreciprocal. In such a non-Hermitian system, when the energy bias between two levels is adjusted very…

量子物理 · 物理学 2022-12-19 Wen-Yuan Wang , Bin Sun , Jie Liu

We experimentally investigate a discrete time quantum walk in a system of coupled fiber loops and observe typical phenomena known from the wave propagation in periodic structures as ballistic spreading or an oscillation between two internal…

Previously, we have shown that the transition probability of the Landau-Zener problem in periodic lattice systems becomes large by taking into account the nonlinearity of the energy spectra, compared with the probability by the conventional…

介观与纳米尺度物理 · 物理学 2018-10-01 Ryuji Takahashi , Naoyuki Sugimoto

We investigate the time evolution of a non-resonant dressed-atom qubit in an XZ original configuration. It is composed of two electromagnetic fields, one oscillating parallel and the other orthogonal to the quantisation magnetic static…

Landau-Zener (LZ) transitions of a two-level system (e. g., electronic spin in molecular magnets) coupled to one or many environmental spins (e. g., nuclear spins) are studied. For rather general interactions the LZ problem is reduced to…

统计力学 · 物理学 2009-11-13 D. A. Garanin , R. Neb , R. Schilling

The quantum-Zeno and anti-Zeno effects (QZE/AZE) are known for a long time, in a quantum system with coupled levels, the measurement of a particular level population can lead to either acceleration (i.e. AZE) or retardation (i.e. QZE) of…

量子物理 · 物理学 2023-08-22 Jacob Levitt , Artur F. Izmaylov

Superconducting persistent-current qubits are quantum-coherent artificial atoms with multiple, tunable energy levels. In the presence of large-amplitude harmonic excitation, the qubit state can be driven through one or more of the…

超导电性 · 物理学 2009-06-02 William D. Oliver , Sergio O. Valenzuela

The Landau-Zener(LZ) transition of a two-level system coupling to spin chains near their critical points is studied in this paper. Two kinds of spin chains, the Ising spin chain and XY spin chain, are considered. We calculate and analyze…

量子物理 · 物理学 2009-11-13 L. C. Wang , X. L. Huang , X. X. Yi

We examine one overlooked in previous investigations aspect of well - known Landau - Zener (LZ) problem, namely, the behavior in the intermediate, i.e. close to a crossing point, energy region, when all four LZ states are coupled and should…

统计力学 · 物理学 2009-11-10 V. A. Benderskii , E. V. Vetoshkin , E. I. Kats