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The transition dynamics of two-state systems with time-dependent energy levels, first considered by Landau, Zener, Majorana, and St\"uckelberg, is one of the basic models in quantum physics and has been used to describe various physical…

Quantum Physics · Physics 2025-06-27 Jonas R. F. Lima , Guido Burkard

We calculate the exact Landau-Zener transitions probabilities for a qubit with arbitrary linear coupling to a bath at zero temperature. The final quantum state exhibits a peculiar entanglement between the qubit and the bath. In the special…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Martijn Wubs , Keiji Saito , Sigmund Kohler , Peter Hänggi , Yosuke Kayanuma

A two-level system traversing a level anticrossing has a small probability to make a so-called Landau-Zener (LZ) transition between its energy bands, in deviation from simple adiabatic evolution. This effect takes on renewed relevance due…

We investigate Landau-Zener processes modeled by a two-level quantum system, with its finite bias energy varied in time and in the presence of a single broadened cavity mode at zero temperature. By applying the hierarchy equation method to…

Quantum Physics · Physics 2016-02-03 Zhe Sun , Longwen Zhou , Gaoyang Xiao , Dario Poletti , Jiangbin Gong

We exploit the concept of Landau-Zener transitions at avoided energy crossings as a quantum-control tool. In an avoided crossing the two quantum states interchange their characteristics as an external parameter is varied. Depending on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. A. Wisniacki , G. E. Murgida , P. I. Tamborenea

We proposed an analytical model to analyze the Landau-Zener interference in a multilevel superconducting flux qubit driven by large amplitude external fields. Our analytical results agree remarkably with those of the experiment [Nature 455,…

Quantum Physics · Physics 2015-05-13 Xueda Wen , Yang Yu

The behaviour of a neutral particle (atom, molecule) with an induced electric dipole moment in a region with a uniform effective magnetic field under the influence of the Kratzer potential [A. Kratzer, Z. Phys. 3, 289 (1920)] and rotating…

Quantum Physics · Physics 2016-06-16 Abinael B. Oliveira , Knut Bakke

The degenerate Landau-Zener-Majorana-St\"uckelberg model consists of two degenerate energy levels whose energies vary with time and in the presence of an interaction which couples the states of the two levels. In the adiabatic limit, it…

Quantum Physics · Physics 2020-06-30 Benedetto Militello

A spin-qubit transformation protocol is proposed for an electron in a mesoscopic quantum ring with tunable Rashba interaction controlled by the external electric field. The dynamics of an electron driven around the ring by a series of…

Mesoscale and Nanoscale Physics · Physics 2020-09-22 Kregar Ambrož , Ramšak Anton

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…

Quantum Gases · Physics 2009-11-01 A. Ishkhanyan , B. Joulakian , K. -A. Suominen

We analyse a system of two interacting spin-qubits subjected to a Landau-Majorana-St\"uckelberg-Zener (LMSZ) ramp. We prove that LMSZ transitions of the two spin-qubits are possible without an external transverse static field since its role…

Quantum Physics · Physics 2019-05-22 R. Grimaudo , N. V. Vitanov , A. Messina

New exact formulas are derived for systems involving Landau-Zener transition rates and for absorption spectra in quantum dots. These rectify previous inaccurate approximations utilized in experimental studies. The exact formulas give an…

Quantum Physics · Physics 2024-03-07 Jorge G. Russo , Miguel Tierz

The effect of a slow noise in non-diagonal matrix element, J(t), that describes the diabatic level coupling, on the probability of the Landau-Zener transition is studied. For slow noise, the correlation time, \tau_c, of J(t) is much longer…

Disordered Systems and Neural Networks · Physics 2017-02-22 Zhu-Xi Luo , M. E. Raikh

We study the Landau-Zener Problem for a decaying two-level-system described by a non-hermitean Hamiltonian, depending analytically on time. Use of a super-adiabatic basis allows to calculate the non-adiabatic transition probability P in the…

Quantum Physics · Physics 2009-11-13 R. Schilling , Mark Vogelsberger , D. A. Garanin

Landau-Zener-St\"uckelberg (LZS) interference of continuously driven superconducting qubits is studied. Going beyond the second order perturbation expansion, we find a time dependent stationary population evolution as well as unsymmetrical…

Quantum Physics · Physics 2013-06-04 lingjie du , yang yu

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…

We study Landau-Zener dynamics in a double quantum dot filled with two electrons, where the spin states can become correlated with charge states and the level velocity can be tuned in a time-dependent fashion. We show that a correct…

Mesoscale and Nanoscale Physics · Physics 2013-07-17 Hugo Ribeiro , J. R. Petta , Guido Burkard

We study the influence of a fast noise on Landau-Zener transitions. We demonstrate that a fast colored noise much weaker than the conventional white noise can produce transitions itself or can change substantially the Landau-Zener…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 V. L. Pokrovsky , N. A. Sinitsyn

A two-interacting-qubit quantum Rabi-like model with vanishing transverse fields on the qubit-pair is studied. Independently of the coupling regime, this model can be exactly and unitarily reduced to two independent single-spin quantum Rabi…

Employing the time-dependent variational principle combined with the multiple Davydov $\mathrm{D}_2$ Ansatz, we investigate Landau-Zener (LZ) transitions in a qubit coupled to a photon mode with various initial photon states at zero…

Quantum Physics · Physics 2021-03-23 Lu Wang , Fulu Zheng , Jiaming Wang , Frank Großmann , Yang Zhao