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Related papers: Nonadiabatic Landau-Zener-St\"uckelberg-Majorana t…

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A transition between energy levels at an avoided crossing is known as a Landau-Zener transition. When a two-level system (TLS) is subject to periodic driving with sufficiently large amplitude, a sequence of transitions occurs. The phase…

Superconductivity · Physics 2012-02-29 S. N. Shevchenko , S. Ashhab , Franco Nori

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

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

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…

We systematically investigate Landau-Zener-St\"uckelberg-Majorana (LZSM) interference under chiral-mirror-like symmetry and propose its application to non-adiabatic topological transport of edge states. Protected by this symmetry, complete…

Quantum Physics · Physics 2025-05-13 Shi Hu , Shihao Li , Meiqing Hu , Zhoutao Lei

The approach by Ettore Majorana for non-adiabatic transitions between two quasi-crossing levels is revisited. We rederive the transition probability, known as the Landau-Zener-St\"{u}ckelberg-Majorana formula, and introduce Majorana's…

Quantum Physics · Physics 2024-08-20 Polina O. Kofman , Oleh V. Ivakhnenko , Sergey N. Shevchenko , Franco Nori

Stimulated by a very recent experiment observing successfully two superconducting states with even- and odd-number of electrons in a nanowire topological superconductor as expected from the existence of two end Majorana quasiparticles (MQs)…

Superconductivity · Physics 2016-08-01 Zhi Wang , Wen-Chao Huang , Qi-Feng Liang , Xiao Hu

Quantum-mechanical systems having two discrete energy levels are ubiquitous in nature. For crossing energy levels, depending on how fast they approach each other, there is a possibility of a transition between them. This phenomenon is known…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Mika Sillanpaa , Teijo Lehtinen , Antti Paila , Yuriy Makhlin , Pertti Hakonen

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

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

Non-adiabatic transitions in multilevel systems appear in various fields of physics, but it is not easy to analyze their dynamics in general. In this paper, we propose to extend the adiabatic impulse approximation to multilevel systems.…

Quantum Physics · Physics 2022-03-02 Takayuki Suzuki , Hiromichi Nakazato

A quantum system can be driven by either sinusoidal, rectangular, or noisy signals. In the literature, these regimes are referred to as Landau-Zener-Stuckelberg-Majorana (LZSM) interferometry, latching modulation, and motional averaging,…

Quantum Physics · Physics 2018-08-17 Oleg V. Ivakhnenko , Sergey N. Shevchenko , Franco Nori

A driven quantum system can experience Landau-Zener-Stuckelberg-Majorana (LZSM) transitions between its states, when the respective energy levels quasi-cross. If this quasicrossing is traversed repeatedly under periodic driving, the…

Quantum Physics · Physics 2024-08-20 Polina Kofman , Sergey Shevchenko , Franco Nori

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

Motivated by the experimental observations of resonant tunnelings in the systems with half-integer spin, such as V$_{15}$ and Mn$_4$, we study the mechanism of adiabatic change of the magnetization in systems with the time-reversal…

Statistical Mechanics · Physics 2009-11-07 S. Miyashita , N. Nagaosa

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

The adiabatic edge state pumping (ESP) in one dimensional model, which has important applications in topological phase transition and quantum simulation, has been widely performed in both theories and experiments. This phenomenon has been…

Quantum Physics · Physics 2024-11-13 Y. Liu , Xiaoshui Lin , Ming Gong

The Landau-Zener transition is a fundamental concept for dynamical quantum systems and has been studied in numerous fields of physics. Here we present a classical mechanical model system exhibiting analogous behaviour using two inversely…

Mesoscale and Nanoscale Physics · Physics 2012-08-10 Thomas Faust , Johannes Rieger , Maximilian J. Seitner , Peter Krenn , Jörg P. Kotthaus , Eva M. Weig

We show that a simple approximation based on concepts underlying the Kibble-Zurek theory of second order phase transition dynamics can be used to treat avoided level crossing problems. The approach discussed in this paper provides an…

Other Condensed Matter · Physics 2009-11-11 Bogdan Damski , Wojciech H. Zurek

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
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