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In a previous paper [J.S.Briggs and A.Eisfeld, Phys.Rev.A 85, 052111] we showed that the time-development of the complex amplitudes of N coupled quantum states can be mapped by the time development of positions and velocities of N coupled…

Quantum Physics · Physics 2014-02-18 J. S. Briggs , A. Eisfeld

Since the pioneering works by Landau, Zener, St\"uckelberg, and Majorana (LZSM), it has been known that driving a quantum two-level system results in tunneling between its states. Even though the interference between these transitions is…

Quantum Physics · Physics 2022-11-16 Oleh V. Ivakhnenko , Sergey N. Shevchenko , Franco Nori

An idea of employing the Landau-Zener-St\"uckelberg-Majorana (LZSM) dynamics to flip a spin of a single ground state hole is introduced and explored by a time-dependent simulation. This configuration interaction study considers a hole…

Mesoscale and Nanoscale Physics · Physics 2018-03-21 Wojciech Julian Pasek , Marcelo Zoega Maialle , Marcos Henrique Degani

Coupled nanomechanical resonators have recently attracted much attention for both fundamental studies in physics and broad applications in high-precession detection or sensing. By studying the Landau-Zener transitions and Rabi oscillation…

Mesoscale and Nanoscale Physics · Physics 2016-04-04 Hao Fu , Zhi-cheng Gong , Tian-hua Mao , Chang-pu Sun , Su Yi , Yong Li , Geng-yu Cao

A time-dependent two interacting spin-qutrit model is analysed and solved. The two interacting qutrits are subjected to a longitudinal field linearly varying over time as in the Landau-Majorana-St\"uckelberg-Zener (LMSZ) scenario. Although…

Quantum Physics · Physics 2019-06-11 R. Grimaudo , N. V. Vitanov , A. Messina

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…

Second-order processes introduce nonlinearities in quantum dynamics, unlocking a totally unexpected area of control operations. Here we show that the well-known Landau-Zener-St\"uckelberg-Majorana (LZSM) transition can be driven by a…

Quantum Physics · Physics 2024-02-19 Isak Björkman , Marko Kuzmanović , Gheorghe Sorin Paraoanu

The studies of mechanical resonators in the quantum regime not only provide insight into the fundamental nature of quantum mechanics of massive objects, but also introduce promising platforms for novel hybrid quantum technologies. Here we…

Mesoscale and Nanoscale Physics · Physics 2019-12-17 Mikael Kervinen , Jhon E. Ramírez-Muñoz , Alpo Välimaa , Mika A. Sillanpää

Recent experiments have shown that Landau-Majorana-Stuckelberg-Zener (LMSZ) interferometry is a powerful tool for demonstrating and exploiting quantum coherence not only in atomic systems but also in a variety of solid state quantum…

Mesoscale and Nanoscale Physics · Physics 2013-09-27 Sriram Ganeshan , Edwin Barnes , S. Das Sarma

Some of the most enduring questions in physics--including the quantum measurement problem and the quantization of gravity--involve the interaction of a quantum system with a classical environment. Two linearly coupled harmonic oscillators…

Quantum Physics · Physics 2007-05-23 Rachael M. McDermott , Ian H. Redmount

We have developed a method for complementing an arbitrary classical dynamical system to a quantum system using the Lorenz and R\"ossler systems as examples. The Schr\"odinger equation for the corresponding quantum statistical ensemble is…

Chaotic Dynamics · Physics 2014-12-30 Yu. I. Bogdanov , N. A. Bogdanova

Quantum mechanics increasingly penetrates modern technologies but, due to its non-deterministic nature seemingly contradicting our classical everyday world, our comprehension often stays elusive. Arguing along the correspondence principle,…

Quantum Physics · Physics 2023-10-31 Heribert Lorenz , Sigmund Kohler , Anton Parafilo , Mikhail Kiselev , Stefan Ludwig

A conventional realization of quantum logic gates and control is based on resonant Rabi oscillations of the occupation probability of the system. This approach has certain limitations and complications, like counter-rotating terms. We study…

Quantum Physics · Physics 2024-09-30 A. I. Ryzhov , O. V. Ivakhnenko , S. N. Shevchenko , M. F. Gonzalez-Zalba , Franco Nori

We provide a theory of spin and acoustic wave coupled nonlinear dynamics in continuum systems. Combining the Landau-Lifshitz-Gilbert equations with the magnetoelastic Hamiltonian, we derive classical equations of motion for the…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Marco Brühlmann , Yunyoung Hwang , Jorge Puebla , Carlos Gonzalez-Ballestero

Landau-Zener-Stuckelberg interferometry has been extensively investigated in quantum two-level systems, with particular interests on artificial system such as superconducting flux qubits. With increasing the driving field amplitude, more…

Quantum Physics · Physics 2010-03-11 Xueda Wen , Yiwen Wang , Shanhua Cong , Guozhu Sun , Jian Chen , Lin Kang , Weiwei Xu , Yang Yu , Peiheng Wu , Siyuan Han

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

We demonstrate amplification (and attenuation) of a probe signal by a driven two-level quantum system in the Landau-Zener-St\"{u}ckelberg-Majorana regime by means of an experiment, in which a superconducting qubit was strongly coupled to a…

Landau-Zener-St\"uckelberg-Majorana (LZSM) interference emerges when the parameters of a $\textit{qubit}$ are periodically modulated across an avoided level crossing. Here, we investigate the occurrence of the LZSM phenomenon in nonlinear…

This paper investigates the dynamics of quantum analogs of classical impact oscillators to explore how complex nonlinear behaviors manifest in quantum systems. While classical impact oscillators exhibit chaos and bifurcations, quantum…

Quantum Physics · Physics 2025-09-17 Arnab Acharya , Titir Mukherjee , Deepshikha Singh , Soumitro Banerjee

Controlling coherent interaction at avoided crossings is at the heart of quantum information processing. The regime between sudden switches and adiabatic transitions is characterized by quantum superpositions that enable interference…

Mesoscale and Nanoscale Physics · Physics 2014-03-21 F. Forster , G. Petersen , S. Manus , P. Hänggi , D. Schuh , W. Wegscheider , S. Kohler , S. Ludwig
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