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The transition from classical to quantum mechanics has intrigued scientists in the past and remains one of the most fundamental conceptual challenges in state-of-the-art physics. Beyond the quantum mechanical correspondence principle,…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Maximilian J. Seitner , Hugo Ribeiro , Johannes Kölbl , Thomas Faust , Jörg P. Kotthaus , Eva M. Weig

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

St\"uckelberg interferometry describes the interference of two strongly coupled modes during a double passage through an avoided energy level crossing. In this work, we experimentally investigate finite time effects in St\"uckelberg…

Mesoscale and Nanoscale Physics · Physics 2017-03-07 Maximilian J. Seitner , Hugo Ribeiro , Johannes Kölbl , Thomas Faust , Eva M. Weig

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

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

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

We analyze the dynamics of a two-level quantum system (TLS) under the influence of a strong sinusoidal driving signal whose origin is the interaction of the two-level system with a quantum field. In this approach the driving field is…

Quantum Physics · Physics 2017-03-21 S. Ashhab

We investigate quantum interference effects in a superconducting Cooper-pair box by taking into account the possibility of tunneling processes involving one and two Cooper pairs. The quantum dynamics is analysed in a framework of…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 A. V. Parafilo , M. N. Kiselev

We investigate the influence of a dipole interaction with a classical radiation field on a qubit during a continuous change of a control parameter. In particular, we explore the non-adiabatic transitions that occur when the qubit is swept…

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

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

Two-level system strongly coupled to a single resonator mode (harmonic oscillator) is a paradigmatic model in many subfields of physics. We study theoretically the Landau-Zener transition in this model. Analytical solution for the…

Mesoscale and Nanoscale Physics · Physics 2018-01-31 Rajesh K. Malla , M. E. Raikh

Classically coherent dynamics analogous to those of quantum two-level systems are studied in the setting of force sensing. We demonstrate quantitative control over the coupling between two orthogonal mechanical modes of a nanowire…

Mesoscale and Nanoscale Physics · Physics 2018-06-01 Floris R. Braakman , Nicola Rossi , Gözde Tütüncüoglu , Anna Fontcuberta i Morral , Martino Poggio

When the level separation of a qubit is modulated periodically across an avoided crossing, tunneling to the excited state - and consequently Landau-Zener-St\"uckelberg interference - can occur. The types of modulation studied so far…

Quantum Physics · Physics 2015-05-01 M. P. Silveri , K. S. Kumar , J. Tuorila , J. Li , A. Vepsäläinen , E. V. Thuneberg , G. S. Paraoanu

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

We investigate theoretically the dynamics of two quasidegenerate mechanical modes coupled through an open quantum two-level system. A mean-field approach shows that by engineering the retarded response of the two-level system with a…

Mesoscale and Nanoscale Physics · Physics 2020-06-05 C. Dutreix , R. Avriller , B. Lounis , F. Pistolesi

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

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

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 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…

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…

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