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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 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

The time-dependent behavior of a two-level system interacting with a quantum oscillator system is analyzed in the case of a coupling larger than both the energy separation between the two levels and the energy of quantum oscillator ($\Omega…

Mesoscale and Nanoscale Physics · Physics 2009-07-01 Titus Sandu

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…

A nonlinear Landau-Zener model was proposed recently to describe, among a number of applications, the nonadiabatic transition of a Bose-Einstein condensate between Bloch bands. Numerical analysis revealed a striking phenomenon that…

Quantum Physics · Physics 2009-11-07 Jie Liu , Li-Bin Fu , Bi-Yiao Ou , Shi-Gang Chen , Qian Niu

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 the nonlinear Bloch dynamics and Landau-Zener tunneling of quantum droplets in optical lattices, where the interplay between mean-field repulsion and beyond-mean-field attraction from Lee-Huang-Yang corrections introduces a…

Quantum Gases · Physics 2025-08-06 Szu-Cheng Cheng , Yu-Wen Wang , Wen-Hsuan Kuan

We formulate a perturbative approach for studying a class of multi-level time-dependent quantum systems with constant off-diagonal couplings and diabatic energies being odd functions of time. Applying this approach to a general multistate…

Quantum Physics · Physics 2025-08-26 Rongyu Hu , Chen Sun

One may probe intrinsic coherence of a qubit by periodically sweeping its control parameter. The qubit is then excited by Landau-Zener (LZ) mechanism. The interference between multiple LZ transition leads to the unusual oscillatory…

Condensed Matter · Physics 2009-11-07 A. V. Shytov , D. A. Ivanov , M. V. Feigel'man

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…

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

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

Superconducting persistent-current qubits are quantum-coherent artificial atoms with multiple, tunable energy levels. In the presence of large-amplitude harmonic excitation, the qubit state can be driven through one or more of the…

Superconductivity · Physics 2009-06-02 William D. Oliver , Sergio O. Valenzuela

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…

The Landau-Zener formula provides an analytical expression for the final excitation of a quantum system after passage of an avoided crossing of two energy levels. If the two levels correspond to a ground state, and to an excited state which…

Quantum Physics · Physics 2015-06-19 Pinja Haikka , Klaus Molmer

By quickly modifying the shape of the effective potential of a double SQUID flux qubit from a single-well to a double-well condition, we experimentally observe an anomalous behavior, namely an alternance of resonance peaks, in the…

Superconductivity · Physics 2015-06-17 F. Chiarello , S. Spilla , M. G. Castellano , C. Cosmelli , A. Messina , R. Migliore , A. Napoli , G. Torrioli

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

We examine the adiabatic preparation of spatially-ordered Rydberg excitations of atoms in finite one-dimensional lattices by frequency-chirped laser pulses, as realized in a number of recent experiments simulating quantum Ising model. Our…

Quantum Physics · Physics 2022-12-13 A. F. Tzortzakakis , D. Petrosyan , M. Fleischhauer , K. Mølmer

Geometric quantum manipulation and Landau-Zener interferometry have been separately explored in many quantum systems. In this Letter, we combine these two approaches to study the dynamics of a superconducting phase qubit. We experimentally…

Quantum Physics · Physics 2015-06-18 Xinsheng Tan , Dan-Wei Zhang , Zhentao Zhang , Yang Yu , Siyuan Han , Shi-Liang Zhu

Quantum computation by the adiabatic theorem requires a slowly varying Hamiltonian with respect to the spectral gap. We show that the Landau-Zener-St\"uckelberg oscillation phenomenon, that naturally occurs in quantum two level systems…

Quantum Physics · Physics 2019-10-23 Yosi Atia , Yonathan Oren , Nadav Katz