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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…

量子物理 · 物理学 2024-08-20 Polina O. Kofman , Oleh V. Ivakhnenko , Sergey N. Shevchenko , Franco Nori

We present a rigorous analysis of the Landau-Zener linear-in-time term crossing problem for quadratic-nonlinear systems relevant to the coherent association of ultracold atoms in degenerate quantum gases. Our treatment is based on an exact…

量子气体 · 物理学 2009-11-01 A. Ishkhanyan , B. Joulakian , K. -A. Suominen

We show that and how ultra-cold atoms in an accelerated two-band lattice are a controlled realization of Landau--Zener--St\"uckelberg interferometry.

量子物理 · 物理学 2011-06-29 Patrick Plötz , Sandro Wimberger

Quantum metrology deals with improving the resolution of instruments that are otherwise limited by shot noise and it is therefore a promising avenue for enabling scientific breakthroughs. The advantage can be even more striking when quantum…

Quantum-correlated interferometer is a newly emerging tool in quantum technology that offers classical-limit-breaking phase sensitivity. But to date, there exists a configurational bottleneck for its practicability due to the low…

原子物理 · 物理学 2025-01-10 Wei Du , Shuhe Wu , Dong Zhang , Jun Chen , Yiquan Yang , Peiyu Yang , Jinxian Guo , Guzhi Bao , Weiping Zhang

We study a two-level transition probability for a finite number of avoided crossings with a small interaction. Landau-Zener formula, which gives the transition probability for one avoided crossing as $e^{-\pi\frac{\varepsilon^{2}}{h}}$,…

数学物理 · 物理学 2021-03-15 Takuya Watanabe , Maher Zerzeri

The Landau--Zener (LZ) model describes a two-level quantum system that undergoes an avoided crossing. In the adiabatic limit, the transition probability vanishes. An auxiliary control field $H_\text{CD}$ can be reverse-engineered so that…

量子物理 · 物理学 2026-01-16 Georgios Theologou , Mikkel F. Andersen , Sandro Wimberger

We predict a double-resonant feature in the magnetic field dependence of the phonon-mediated longitudinal conductivity $\sigma_{xx}$ of a two-subband quasi-two-dimensional electron system in a quantizing magnetic field. The two sharp peaks…

介观与纳米尺度物理 · 物理学 2007-05-23 V. N. Golovach , M. E. Portnoi

The physics of quantum states beyond thermodynamic equilibrium represents a fascinating and cutting-edge research. Using numerical state-of-the-art approaches, we observe dynamical quantum phase transitions in the dissipative two-qubit Rabi…

量子物理 · 物理学 2025-09-08 G. Di Bello , A. Ponticelli , F. Pavan , V. Cataudella , G. De Filippis , A. de Candia , C. A. Perroni

Measurement-induced nonclassical effects in a two-mode interferometer are investigated theoretically using numerical simulations and analytical results. We demonstrate that for certain parameters measurements within the interferometer lead…

量子物理 · 物理学 2020-09-24 M. Riabinin , P. R. Sharapova , T. J. Bartley , T. Meier

We experimentally realize quantum Hall Mach-Zehnder interferometer which operates far beyond the equilibrium. The operation of the interferometer is based on allowed intra-edge elastic transitions within the same Landau sublevel in the…

介观与纳米尺度物理 · 物理学 2015-05-28 E. V. Deviatov , A. Ganczarczyk , A. Lorke , G. Biasiol , L. Sorba

The Landau-Zener (LZ) transition is one of the most fundamental phenomena in quantum dynamics. It describes nonadiabatic transitions between quantum states near an avoided crossing that can occur in diverse physical systems. Here we report…

We investigate experimentally and theoretically the interference at avoided crossings which are repeatedly traversed as a consequence of an applied ac field. Our model system is a charge qubit in a serial double quantum dot connected to two…

介观与纳米尺度物理 · 物理学 2016-01-05 F. Forster , M. Mühlbacher , R. Blattmann , D. Schuh , W. Wegscheider , S. Ludwig , S. Kohler

Despite conventional wisdom that spin-1/2 systems have no classical analog, we introduce a set of classical coupled oscillators with solutions that exactly map onto the dynamics of an unmeasured electron spin state in an arbitrary,…

量子物理 · 物理学 2011-12-12 K. B. Wharton , R. A. Linck , C. H. Salazar-Lazaro

The quantum mechanical counterpart of the famous Stoner-Wohlfarth model -- an easy-axis magnet in a tilted magnetic field -- is studied theoretically and through simulations, as a function of the spin-size $S$ in a sweeping longitudinal…

统计力学 · 物理学 2016-01-27 Takuya Hatomura , Bernard Barbara , Seiji Miyashita

We identify a nontrivial 4-state Landau-Zener model for which transition probabilities between any pair of diabatic states can be determined analytically and exactly. The model describes an experimentally accessible system of two…

介观与纳米尺度物理 · 物理学 2016-02-10 N. A. Sinitsyn

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…

A quantum two-path interferometer allows for direct measurement of the transmission phase shift of an electron, providing useful information on coherent scattering problems. In mesoscopic systems, however, the two-path interference is…

介观与纳米尺度物理 · 物理学 2015-08-13 S. Takada , M. Yamamoto , C. Bäuerle , K. Watanabe , A. Ludwig , A. D. Wieck , S. Tarucha

We consider a theoretical model for a nonlinear nanomechanical resonator coupled to a superconducting microwave resonator. The nanomechanical resonator is driven parametrically at twice its resonance frequency, while the superconducting…

介观与纳米尺度物理 · 物理学 2015-05-20 Charles P. Meaney , Ross H. McKenzie , G. J. Milburn

The fabrication of single atom transistors paved the way for electronics based on single dopants. Recently the spectrum of a single dopant was measured electrically by coupling two such devices. The next step towards promising…

介观与纳米尺度物理 · 物理学 2015-06-12 B. Roche , R. -P. Riwar , B. Voisin , E. Dupont-Ferrier , R. Wacquez , M. Vinet , M. Sanquer , J. Splettstoesser , X. Jehl