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A new regime of coherent quantum dynamics of a qubit is realized at low driving frequencies in the strong driving limit. Coherent transitions between qubit states occur via the Landau-Zener process when the system is swept through an…

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

The interference between repeated Landau-Zener transitions in a qubit swept through an avoided level crossing results in Stueckelberg oscillations in qubit magnetization. The resulting oscillatory patterns are a hallmark of the coherent…

Mesoscale and Nanoscale Physics · Physics 2008-11-07 M. S. Rudner , A. V. Shytov , L. S. Levitov , D. M. Berns , W. D. Oliver , S. O. Valenzuela , T. P. Orlando

In this work, we study the time-averaged populations obtained for a fluxonium circuit under a large amplitude nonresonant periodic drive. We present numerical simulations of the time evolution which consider the multi-level structure of the…

Mesoscale and Nanoscale Physics · Physics 2025-05-01 Valentín Reparaz , María José Sánchez , Maximiliano Gatto , Daniel Dominguez , Leandro Tosi

We irradiated an rf-SQUID qubit with large-amplitude and high frequency electromagnetic field. Population transitions between macroscopic distinctive quantum states due to Landau-Zener transitions at energy-level avoided crossings were…

Quantum Physics · Physics 2017-05-10 Yiwen Wang , Shanhua Cong , Xueda Wen , Cheng Pan , Guozhu Sun , Jian Chen , Lin Kang , Weiwei Xu , Yang Yu , Peiheng Wu

In a recent publication [Phys. Rev. A 79, 065602 (2009)] it was shown that an avoided-crossing resonance can be defined in different ways, according to level-structural or dynamical aspects, which do not coincide in general. Here a simple…

Quantum Physics · Physics 2015-07-27 I. Lizuain , J. Echanobe , A. Ruschhaupt , J. G. Muga , D. A. Steck

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…

By driving a 3D transmon with microwave fields, we generate an effective avoided energy-level crossing. Then we chirp microwave frequency, which is equivalent to driving the system through the avoided energy-level crossing by sweeping the…

Superconductivity · Physics 2016-04-20 Ming Gong , Yu Zhou , Dong Lan , Yunyi Fan , Jiazheng Pan , Haifeng Yu , Jian Chen , Guozhu Sun , Yang Yu , Siyuan Han , Peiheng Wu

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

We examine structural and dynamical properties of quantum resonances associated with an avoided crossing and identify the parameter shifts where these properties attain maximal or extreme values, first at a general level, and then for a…

Quantum Physics · Physics 2015-05-13 I. Lizuain , E. Hernandez-Concepcion , J. G. Muga

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 mechanism of avoided level crossings in quantum systems is studied. It is traced back to the existence of branch points in the complex plane which influence the properties of resonance states as well as of discrete states. An avoided…

Quantum Physics · Physics 2007-05-23 I. Rotter

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 establish an intriguing connection between quantum phase transitions and bifurcations in the reduced fidelity between two different reduced density matrices for quantum lattice many-body systems with symmetry-breaking orders. Our finding…

Strongly Correlated Electrons · Physics 2009-05-20 Jin-Hua Liu , Qian-Qian Shi , Jian-Hui Zhao , Huan-Qiang Zhou

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

We proposed a new method to measure the energy spectrum of a superconducting flux qubit. Different from the conventional frequency spectroscopy, a short triangle pulse is used to drive the qubit through the anticrossing and generates…

Quantum Physics · Physics 2015-05-20 Shuang Xu , Guozhu Sun , Yang Yu

We review the physical phenomena that arise when quantum mechanical energy levels are modulated in time. The dynamics resulting from changes in the transition frequency is a problem studied since the early days of quantum mechanics. It has…

Quantum Physics · Physics 2017-04-07 M. P. Silveri , J. A. Tuorila , E. V. Thuneberg , G. S. Paraoanu

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 analyze the dynamics of a two-level system subject to driving by large-amplitude external fields, focusing on the resonance properties in the case of driving around the region of avoided level crossing. In particular, we consider three…

Quantum Physics · Physics 2009-07-17 S. Ashhab , J. R. Johansson , A. M. Zagoskin , Franco Nori

We study multi-photon resonances in a strongly-driven three-level quantum system, where one level is periodically swept through a pair of levels with constant energy separation $E$. Near the multi-photon resonance condition $n\hbar\omega =…

Mesoscale and Nanoscale Physics · Physics 2014-12-17 Jeroen Danon , Mark S. Rudner
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